---
_id: '1660'
abstract:
- lang: eng
  text: We study the pattern frequency vector for runs in probabilistic Vector Addition
    Systems with States (pVASS). Intuitively, each configuration of a given pVASS
    is assigned one of finitely many patterns, and every run can thus be seen as an
    infinite sequence of these patterns. The pattern frequency vector assigns to each
    run the limit of pattern frequencies computed for longer and longer prefixes of
    the run. If the limit does not exist, then the vector is undefined. We show that
    for one-counter pVASS, the pattern frequency vector is defined and takes one of
    finitely many values for almost all runs. Further, these values and their associated
    probabilities can be approximated up to an arbitrarily small relative error in
    polynomial time. For stable two-counter pVASS, we show the same result, but we
    do not provide any upper complexity bound. As a byproduct of our study, we discover
    counterexamples falsifying some classical results about stochastic Petri nets
    published in the 80s.
alternative_title:
- LICS
article_processing_charge: No
arxiv: 1
author:
- first_name: Tomáš
  full_name: Brázdil, Tomáš
  last_name: Brázdil
- first_name: Stefan
  full_name: Kiefer, Stefan
  last_name: Kiefer
- first_name: Antonín
  full_name: Kučera, Antonín
  last_name: Kučera
- first_name: Petr
  full_name: Novotny, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotny
citation:
  ama: 'Brázdil T, Kiefer S, Kučera A, Novotný P. Long-run average behaviour of probabilistic
    vector addition systems. In: IEEE; 2015:44-55. doi:<a href="https://doi.org/10.1109/LICS.2015.15">10.1109/LICS.2015.15</a>'
  apa: 'Brázdil, T., Kiefer, S., Kučera, A., &#38; Novotný, P. (2015). Long-run average
    behaviour of probabilistic vector addition systems (pp. 44–55). Presented at the
    LICS: Logic in Computer Science, Kyoto, Japan: IEEE. <a href="https://doi.org/10.1109/LICS.2015.15">https://doi.org/10.1109/LICS.2015.15</a>'
  chicago: Brázdil, Tomáš, Stefan Kiefer, Antonín Kučera, and Petr Novotný. “Long-Run
    Average Behaviour of Probabilistic Vector Addition Systems,” 44–55. IEEE, 2015.
    <a href="https://doi.org/10.1109/LICS.2015.15">https://doi.org/10.1109/LICS.2015.15</a>.
  ieee: 'T. Brázdil, S. Kiefer, A. Kučera, and P. Novotný, “Long-run average behaviour
    of probabilistic vector addition systems,” presented at the LICS: Logic in Computer
    Science, Kyoto, Japan, 2015, pp. 44–55.'
  ista: 'Brázdil T, Kiefer S, Kučera A, Novotný P. 2015. Long-run average behaviour
    of probabilistic vector addition systems. LICS: Logic in Computer Science, LICS,
    , 44–55.'
  mla: Brázdil, Tomáš, et al. <i>Long-Run Average Behaviour of Probabilistic Vector
    Addition Systems</i>. IEEE, 2015, pp. 44–55, doi:<a href="https://doi.org/10.1109/LICS.2015.15">10.1109/LICS.2015.15</a>.
  short: T. Brázdil, S. Kiefer, A. Kučera, P. Novotný, in:, IEEE, 2015, pp. 44–55.
conference:
  end_date: 2015-07-10
  location: Kyoto, Japan
  name: 'LICS: Logic in Computer Science'
  start_date: 2015-07-06
date_created: 2018-12-11T11:53:19Z
date_published: 2015-07-01T00:00:00Z
date_updated: 2025-09-23T09:27:49Z
day: '01'
department:
- _id: KrCh
doi: 10.1109/LICS.2015.15
ec_funded: 1
external_id:
  arxiv:
  - '1505.02655'
  isi:
  - '000380427100007'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1505.02655
month: '07'
oa: 1
oa_version: Preprint
page: 44 - 55
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication_status: published
publisher: IEEE
publist_id: '5490'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Long-run average behaviour of probabilistic vector addition systems
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2015'
...
---
_id: '1665'
abstract:
- lang: eng
  text: Which genetic alterations drive tumorigenesis and how they evolve over the
    course of disease and therapy are central questions in cancer biology. Here we
    identify 44 recurrently mutated genes and 11 recurrent somatic copy number variations
    through whole-exome sequencing of 538 chronic lymphocytic leukaemia (CLL) and
    matched germline DNA samples, 278 of which were collected in a prospective clinical
    trial. These include previously unrecognized putative cancer drivers (RPS15, IKZF3),
    and collectively identify RNA processing and export, MYC activity, and MAPK signalling
    as central pathways involved in CLL. Clonality analysis of this large data set
    further enabled reconstruction of temporal relationships between driver events.
    Direct comparison between matched pre-treatment and relapse samples from 59 patients
    demonstrated highly frequent clonal evolution. Thus, large sequencing data sets
    of clinically informative samples enable the discovery of novel genes associated
    with cancer, the network of relationships between the driver events, and their
    impact on disease relapse and clinical outcome.
article_processing_charge: No
article_type: original
author:
- first_name: Dan
  full_name: Landau, Dan
  last_name: Landau
- first_name: Eugen
  full_name: Tausch, Eugen
  last_name: Tausch
- first_name: Amaro
  full_name: Taylor Weiner, Amaro
  last_name: Taylor Weiner
- first_name: Chip
  full_name: Stewart, Chip
  last_name: Stewart
- first_name: Johannes
  full_name: Reiter, Johannes
  id: 4A918E98-F248-11E8-B48F-1D18A9856A87
  last_name: Reiter
  orcid: 0000-0002-0170-7353
- first_name: Jasmin
  full_name: Bahlo, Jasmin
  last_name: Bahlo
- first_name: Sandra
  full_name: Kluth, Sandra
  last_name: Kluth
- first_name: Ivana
  full_name: Božić, Ivana
  last_name: Božić
- first_name: Michael
  full_name: Lawrence, Michael
  last_name: Lawrence
- first_name: Sebastian
  full_name: Böttcher, Sebastian
  last_name: Böttcher
- first_name: Scott
  full_name: Carter, Scott
  last_name: Carter
- first_name: Kristian
  full_name: Cibulskis, Kristian
  last_name: Cibulskis
- first_name: Daniel
  full_name: Mertens, Daniel
  last_name: Mertens
- first_name: Carrie
  full_name: Sougnez, Carrie
  last_name: Sougnez
- first_name: Mara
  full_name: Rosenberg, Mara
  last_name: Rosenberg
- first_name: Julian
  full_name: Hess, Julian
  last_name: Hess
- first_name: Jennifer
  full_name: Edelmann, Jennifer
  last_name: Edelmann
- first_name: Sabrina
  full_name: Kless, Sabrina
  last_name: Kless
- first_name: Michael
  full_name: Kneba, Michael
  last_name: Kneba
- first_name: Matthias
  full_name: Ritgen, Matthias
  last_name: Ritgen
- first_name: Anna
  full_name: Fink, Anna
  last_name: Fink
- first_name: Kirsten
  full_name: Fischer, Kirsten
  last_name: Fischer
- first_name: Stacey
  full_name: Gabriel, Stacey
  last_name: Gabriel
- first_name: Eric
  full_name: Lander, Eric
  last_name: Lander
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
- first_name: Hartmut
  full_name: Döhner, Hartmut
  last_name: Döhner
- first_name: Michael
  full_name: Hallek, Michael
  last_name: Hallek
- first_name: Donna
  full_name: Neuberg, Donna
  last_name: Neuberg
- first_name: Gad
  full_name: Getz, Gad
  last_name: Getz
- first_name: Stephan
  full_name: Stilgenbauer, Stephan
  last_name: Stilgenbauer
- first_name: Catherine
  full_name: Wu, Catherine
  last_name: Wu
citation:
  ama: Landau D, Tausch E, Taylor Weiner A, et al. Mutations driving CLL and their
    evolution in progression and relapse. <i>Nature</i>. 2015;526(7574):525-530. doi:<a
    href="https://doi.org/10.1038/nature15395">10.1038/nature15395</a>
  apa: Landau, D., Tausch, E., Taylor Weiner, A., Stewart, C., Reiter, J., Bahlo,
    J., … Wu, C. (2015). Mutations driving CLL and their evolution in progression
    and relapse. <i>Nature</i>. Nature Publishing Group. <a href="https://doi.org/10.1038/nature15395">https://doi.org/10.1038/nature15395</a>
  chicago: Landau, Dan, Eugen Tausch, Amaro Taylor Weiner, Chip Stewart, Johannes
    Reiter, Jasmin Bahlo, Sandra Kluth, et al. “Mutations Driving CLL and Their Evolution
    in Progression and Relapse.” <i>Nature</i>. Nature Publishing Group, 2015. <a
    href="https://doi.org/10.1038/nature15395">https://doi.org/10.1038/nature15395</a>.
  ieee: D. Landau <i>et al.</i>, “Mutations driving CLL and their evolution in progression
    and relapse,” <i>Nature</i>, vol. 526, no. 7574. Nature Publishing Group, pp.
    525–530, 2015.
  ista: Landau D, Tausch E, Taylor Weiner A, Stewart C, Reiter J, Bahlo J, Kluth S,
    Božić I, Lawrence M, Böttcher S, Carter S, Cibulskis K, Mertens D, Sougnez C,
    Rosenberg M, Hess J, Edelmann J, Kless S, Kneba M, Ritgen M, Fink A, Fischer K,
    Gabriel S, Lander E, Nowak M, Döhner H, Hallek M, Neuberg D, Getz G, Stilgenbauer
    S, Wu C. 2015. Mutations driving CLL and their evolution in progression and relapse.
    Nature. 526(7574), 525–530.
  mla: Landau, Dan, et al. “Mutations Driving CLL and Their Evolution in Progression
    and Relapse.” <i>Nature</i>, vol. 526, no. 7574, Nature Publishing Group, 2015,
    pp. 525–30, doi:<a href="https://doi.org/10.1038/nature15395">10.1038/nature15395</a>.
  short: D. Landau, E. Tausch, A. Taylor Weiner, C. Stewart, J. Reiter, J. Bahlo,
    S. Kluth, I. Božić, M. Lawrence, S. Böttcher, S. Carter, K. Cibulskis, D. Mertens,
    C. Sougnez, M. Rosenberg, J. Hess, J. Edelmann, S. Kless, M. Kneba, M. Ritgen,
    A. Fink, K. Fischer, S. Gabriel, E. Lander, M. Nowak, H. Döhner, M. Hallek, D.
    Neuberg, G. Getz, S. Stilgenbauer, C. Wu, Nature 526 (2015) 525–530.
date_created: 2018-12-11T11:53:21Z
date_published: 2015-10-22T00:00:00Z
date_updated: 2025-09-23T09:37:33Z
day: '22'
department:
- _id: KrCh
doi: 10.1038/nature15395
ec_funded: 1
external_id:
  isi:
  - '000364026100040'
  pmid:
  - '26466571'
intvolume: '       526'
isi: 1
issue: '7574'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4815041/
month: '10'
oa: 1
oa_version: Submitted Version
page: 525 - 530
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: Nature
publication_status: published
publisher: Nature Publishing Group
publist_id: '5484'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mutations driving CLL and their evolution in progression and relapse
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 526
year: '2015'
...
---
_id: '1667'
abstract:
- lang: eng
  text: We consider parametric version of fixed-delay continuoustime Markov chains
    (or equivalently deterministic and stochastic Petri nets, DSPN) where fixed-delay
    transitions are specified by parameters, rather than concrete values. Our goal
    is to synthesize values of these parameters that, for a given cost function, minimise
    expected total cost incurred before reaching a given set of target states. We
    show that under mild assumptions, optimal values of parameters can be effectively
    approximated using translation to a Markov decision process (MDP) whose actions
    correspond to discretized values of these parameters. To this end we identify
    and overcome several interesting phenomena arising in systems with fixed delays.
acknowledgement: The research leading to these results has received funding from the
  People Programme (Marie Curie Actions) of the European Union’s Seventh Framework
  Programme (FP7/2007-2013) under REA grant agreement n∘ [291734]. This work is partly
  supported by the German Research Council (DFG) as part of the Transregional Collaborative
  Research Center AVACS (SFB/TR 14), by the EU 7th Framework Programme under grant
  agreement no. 295261 (MEALS) and 318490 (SENSATION), by the Czech Science Foundation,
  grant No. 15-17564S, and by the CAS/SAFEA International Partnership Program for
  Creative Research Teams.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Tomáš
  full_name: Brázdil, Tomáš
  last_name: Brázdil
- first_name: L'Uboš
  full_name: Korenčiak, L'Uboš
  last_name: Korenčiak
- first_name: Jan
  full_name: Krčál, Jan
  last_name: Krčál
- first_name: Petr
  full_name: Novotny, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotny
- first_name: Vojtěch
  full_name: Řehák, Vojtěch
  last_name: Řehák
citation:
  ama: Brázdil T, Korenčiak L, Krčál J, Novotný P, Řehák V. Optimizing performance
    of continuous-time stochastic systems using timeout synthesis. 2015;9259:141-159.
    doi:<a href="https://doi.org/10.1007/978-3-319-22264-6_10">10.1007/978-3-319-22264-6_10</a>
  apa: 'Brázdil, T., Korenčiak, L., Krčál, J., Novotný, P., &#38; Řehák, V. (2015).
    Optimizing performance of continuous-time stochastic systems using timeout synthesis.
    Presented at the QEST: Quantitative Evaluation of Systems, Madrid, Spain: Springer.
    <a href="https://doi.org/10.1007/978-3-319-22264-6_10">https://doi.org/10.1007/978-3-319-22264-6_10</a>'
  chicago: Brázdil, Tomáš, L’Uboš Korenčiak, Jan Krčál, Petr Novotný, and Vojtěch
    Řehák. “Optimizing Performance of Continuous-Time Stochastic Systems Using Timeout
    Synthesis.” Lecture Notes in Computer Science. Springer, 2015. <a href="https://doi.org/10.1007/978-3-319-22264-6_10">https://doi.org/10.1007/978-3-319-22264-6_10</a>.
  ieee: T. Brázdil, L. Korenčiak, J. Krčál, P. Novotný, and V. Řehák, “Optimizing
    performance of continuous-time stochastic systems using timeout synthesis,” vol.
    9259. Springer, pp. 141–159, 2015.
  ista: Brázdil T, Korenčiak L, Krčál J, Novotný P, Řehák V. 2015. Optimizing performance
    of continuous-time stochastic systems using timeout synthesis. 9259, 141–159.
  mla: Brázdil, Tomáš, et al. <i>Optimizing Performance of Continuous-Time Stochastic
    Systems Using Timeout Synthesis</i>. Vol. 9259, Springer, 2015, pp. 141–59, doi:<a
    href="https://doi.org/10.1007/978-3-319-22264-6_10">10.1007/978-3-319-22264-6_10</a>.
  short: T. Brázdil, L. Korenčiak, J. Krčál, P. Novotný, V. Řehák, 9259 (2015) 141–159.
conference:
  end_date: 2015-09-03
  location: Madrid, Spain
  name: 'QEST: Quantitative Evaluation of Systems'
  start_date: 2015-09-01
date_created: 2018-12-11T11:53:22Z
date_published: 2015-08-22T00:00:00Z
date_updated: 2025-09-23T09:46:46Z
day: '22'
department:
- _id: KrCh
doi: 10.1007/978-3-319-22264-6_10
ec_funded: 1
external_id:
  arxiv:
  - '1407.4777'
  isi:
  - '000363574600012'
intvolume: '      9259'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1407.4777
month: '08'
oa: 1
oa_version: Preprint
page: 141 - 159
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication_status: published
publisher: Springer
publist_id: '5482'
quality_controlled: '1'
scopus_import: '1'
series_title: Lecture Notes in Computer Science
status: public
title: Optimizing performance of continuous-time stochastic systems using timeout
  synthesis
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 9259
year: '2015'
...
---
_id: '1673'
abstract:
- lang: eng
  text: 'When a new mutant arises in a population, there is a probability it outcompetes
    the residents and fixes. The structure of the population can affect this fixation
    probability. Suppressing population structures reduce the difference between two
    competing variants, while amplifying population structures enhance the difference.
    Suppressors are ubiquitous and easy to construct, but amplifiers for the large
    population limit are more elusive and only a few examples have been discovered.
    Whether or not a population structure is an amplifier of selection depends on
    the probability distribution for the placement of the invading mutant. First,
    we prove that there exist only bounded amplifiers for adversarial placement-that
    is, for arbitrary initial conditions. Next, we show that the Star population structure,
    which is known to amplify for mutants placed uniformly at random, does not amplify
    for mutants that arise through reproduction and are therefore placed proportional
    to the temperatures of the vertices. Finally, we construct population structures
    that amplify for all mutational events that arise through reproduction, uniformly
    at random, or through some combination of the two. '
acknowledgement: 'K.C. gratefully acknowledges support from ERC Start grant no. (279307:
  Graph Games), Austrian Science Fund (FWF) grant no. P23499-N23, and FWF NFN grant
  no. S11407-N23 (RiSE). '
article_number: '20150114'
article_processing_charge: No
author:
- first_name: Ben
  full_name: Adlam, Ben
  last_name: Adlam
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: 'Adlam B, Chatterjee K, Nowak M. Amplifiers of selection. <i>Proceedings of
    the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. 2015;471(2181).
    doi:<a href="https://doi.org/10.1098/rspa.2015.0114">10.1098/rspa.2015.0114</a>'
  apa: 'Adlam, B., Chatterjee, K., &#38; Nowak, M. (2015). Amplifiers of selection.
    <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering
    Sciences</i>. Royal Society of London. <a href="https://doi.org/10.1098/rspa.2015.0114">https://doi.org/10.1098/rspa.2015.0114</a>'
  chicago: 'Adlam, Ben, Krishnendu Chatterjee, and Martin Nowak. “Amplifiers of Selection.”
    <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering
    Sciences</i>. Royal Society of London, 2015. <a href="https://doi.org/10.1098/rspa.2015.0114">https://doi.org/10.1098/rspa.2015.0114</a>.'
  ieee: 'B. Adlam, K. Chatterjee, and M. Nowak, “Amplifiers of selection,” <i>Proceedings
    of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol.
    471, no. 2181. Royal Society of London, 2015.'
  ista: 'Adlam B, Chatterjee K, Nowak M. 2015. Amplifiers of selection. Proceedings
    of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471(2181),
    20150114.'
  mla: 'Adlam, Ben, et al. “Amplifiers of Selection.” <i>Proceedings of the Royal
    Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 471, no.
    2181, 20150114, Royal Society of London, 2015, doi:<a href="https://doi.org/10.1098/rspa.2015.0114">10.1098/rspa.2015.0114</a>.'
  short: 'B. Adlam, K. Chatterjee, M. Nowak, Proceedings of the Royal Society A: Mathematical,
    Physical and Engineering Sciences 471 (2015).'
date_created: 2018-12-11T11:53:24Z
date_published: 2015-09-08T00:00:00Z
date_updated: 2025-09-23T07:46:22Z
day: '08'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rspa.2015.0114
ec_funded: 1
external_id:
  isi:
  - '000363482200005'
file:
- access_level: open_access
  checksum: e613d94d283c776322403a28aad11bdd
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-04-18T12:39:56Z
  date_updated: 2020-07-14T12:45:11Z
  file_id: '6342'
  file_name: 2015_rspa_Adlam.pdf
  file_size: 391466
  relation: main_file
file_date_updated: 2020-07-14T12:45:11Z
has_accepted_license: '1'
intvolume: '       471'
isi: 1
issue: '2181'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering
  Sciences'
publication_status: published
publisher: Royal Society of London
publist_id: '5477'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Amplifiers of selection
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 471
year: '2015'
...
---
_id: '1681'
abstract:
- lang: eng
  text: In many social situations, individuals endeavor to find the single best possible
    partner, but are constrained to evaluate the candidates in sequence. Examples
    include the search for mates, economic partnerships, or any other long-term ties
    where the choice to interact involves two parties. Surprisingly, however, previous
    theoretical work on mutual choice problems focuses on finding equilibrium solutions,
    while ignoring the evolutionary dynamics of decisions. Empirically, this may be
    of high importance, as some equilibrium solutions can never be reached unless
    the population undergoes radical changes and a sufficient number of individuals
    change their decisions simultaneously. To address this question, we apply a mutual
    choice sequential search problem in an evolutionary game-theoretical model that
    allows one to find solutions that are favored by evolution. As an example, we
    study the influence of sequential search on the evolutionary dynamics of cooperation.
    For this, we focus on the classic snowdrift game and the prisoner’s dilemma game.
article_processing_charge: No
article_type: original
author:
- first_name: Tadeas
  full_name: Priklopil, Tadeas
  id: 3C869AA0-F248-11E8-B48F-1D18A9856A87
  last_name: Priklopil
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Priklopil T, Chatterjee K. Evolution of decisions in population games with
    sequentially searching individuals. <i>Games</i>. 2015;6(4):413-437. doi:<a href="https://doi.org/10.3390/g6040413">10.3390/g6040413</a>
  apa: Priklopil, T., &#38; Chatterjee, K. (2015). Evolution of decisions in population
    games with sequentially searching individuals. <i>Games</i>. MDPI. <a href="https://doi.org/10.3390/g6040413">https://doi.org/10.3390/g6040413</a>
  chicago: Priklopil, Tadeas, and Krishnendu Chatterjee. “Evolution of Decisions in
    Population Games with Sequentially Searching Individuals.” <i>Games</i>. MDPI,
    2015. <a href="https://doi.org/10.3390/g6040413">https://doi.org/10.3390/g6040413</a>.
  ieee: T. Priklopil and K. Chatterjee, “Evolution of decisions in population games
    with sequentially searching individuals,” <i>Games</i>, vol. 6, no. 4. MDPI, pp.
    413–437, 2015.
  ista: Priklopil T, Chatterjee K. 2015. Evolution of decisions in population games
    with sequentially searching individuals. Games. 6(4), 413–437.
  mla: Priklopil, Tadeas, and Krishnendu Chatterjee. “Evolution of Decisions in Population
    Games with Sequentially Searching Individuals.” <i>Games</i>, vol. 6, no. 4, MDPI,
    2015, pp. 413–37, doi:<a href="https://doi.org/10.3390/g6040413">10.3390/g6040413</a>.
  short: T. Priklopil, K. Chatterjee, Games 6 (2015) 413–437.
corr_author: '1'
date_created: 2018-12-11T11:53:26Z
date_published: 2015-09-29T00:00:00Z
date_updated: 2025-04-15T06:50:21Z
day: '29'
ddc:
- '000'
department:
- _id: NiBa
- _id: KrCh
doi: 10.3390/g6040413
ec_funded: 1
file:
- access_level: open_access
  checksum: 912e1acbaf201100f447a43e4d5958bd
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:12:41Z
  date_updated: 2020-07-14T12:45:12Z
  file_id: '4959'
  file_name: IST-2016-448-v1+1_games-06-00413.pdf
  file_size: 518832
  relation: main_file
file_date_updated: 2020-07-14T12:45:12Z
has_accepted_license: '1'
intvolume: '         6'
issue: '4'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '09'
oa: 1
oa_version: Published Version
page: 413 - 437
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Games
publication_identifier:
  eissn:
  - 2073-4336
publication_status: published
publisher: MDPI
publist_id: '5467'
pubrep_id: '448'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evolution of decisions in population games with sequentially searching individuals
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2015'
...
---
_id: '1689'
abstract:
- lang: eng
  text: We consider the problem of computing the set of initial states of a dynamical
    system such that there exists a control strategy to ensure that the trajectories
    satisfy a temporal logic specification with probability 1 (almost-surely). We
    focus on discrete-time, stochastic linear dynamics and specifications given as
    formulas of the Generalized Reactivity(1) fragment of Linear Temporal Logic over
    linear predicates in the states of the system. We propose a solution based on
    iterative abstraction-refinement, and turn-based 2-player probabilistic games.
    While the theoretical guarantee of our algorithm after any finite number of iterations
    is only a partial solution, we show that if our algorithm terminates, then the
    result is the set of satisfying initial states. Moreover, for any (partial) solution
    our algorithm synthesizes witness control strategies to ensure almost-sure satisfaction
    of the temporal logic specification. We demonstrate our approach on an illustrative
    case study.
article_processing_charge: No
arxiv: 1
author:
- first_name: Mária
  full_name: Svoreňová, Mária
  last_name: Svoreňová
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ivana
  full_name: Cěrná, Ivana
  last_name: Cěrná
- first_name: Cǎlin
  full_name: Belta, Cǎlin
  last_name: Belta
citation:
  ama: 'Svoreňová M, Kretinsky J, Chmelik M, Chatterjee K, Cěrná I, Belta C. Temporal
    logic control for stochastic linear systems using abstraction refinement of probabilistic
    games. In: <i>Proceedings of the 18th International Conference on Hybrid Systems:
    Computation and Control</i>. ACM; 2015:259-268. doi:<a href="https://doi.org/10.1145/2728606.2728608">10.1145/2728606.2728608</a>'
  apa: 'Svoreňová, M., Kretinsky, J., Chmelik, M., Chatterjee, K., Cěrná, I., &#38;
    Belta, C. (2015). Temporal logic control for stochastic linear systems using abstraction
    refinement of probabilistic games. In <i>Proceedings of the 18th International
    Conference on Hybrid Systems: Computation and Control</i> (pp. 259–268). Seattle,
    WA, United States: ACM. <a href="https://doi.org/10.1145/2728606.2728608">https://doi.org/10.1145/2728606.2728608</a>'
  chicago: 'Svoreňová, Mária, Jan Kretinsky, Martin Chmelik, Krishnendu Chatterjee,
    Ivana Cěrná, and Cǎlin Belta. “Temporal Logic Control for Stochastic Linear Systems
    Using Abstraction Refinement of Probabilistic Games.” In <i>Proceedings of the
    18th International Conference on Hybrid Systems: Computation and Control</i>,
    259–68. ACM, 2015. <a href="https://doi.org/10.1145/2728606.2728608">https://doi.org/10.1145/2728606.2728608</a>.'
  ieee: 'M. Svoreňová, J. Kretinsky, M. Chmelik, K. Chatterjee, I. Cěrná, and C. Belta,
    “Temporal logic control for stochastic linear systems using abstraction refinement
    of probabilistic games,” in <i>Proceedings of the 18th International Conference
    on Hybrid Systems: Computation and Control</i>, Seattle, WA, United States, 2015,
    pp. 259–268.'
  ista: 'Svoreňová M, Kretinsky J, Chmelik M, Chatterjee K, Cěrná I, Belta C. 2015.
    Temporal logic control for stochastic linear systems using abstraction refinement
    of probabilistic games. Proceedings of the 18th International Conference on Hybrid
    Systems: Computation and Control. HSCC: Hybrid Systems - Computation and Control,
    259–268.'
  mla: 'Svoreňová, Mária, et al. “Temporal Logic Control for Stochastic Linear Systems
    Using Abstraction Refinement of Probabilistic Games.” <i>Proceedings of the 18th
    International Conference on Hybrid Systems: Computation and Control</i>, ACM,
    2015, pp. 259–68, doi:<a href="https://doi.org/10.1145/2728606.2728608">10.1145/2728606.2728608</a>.'
  short: 'M. Svoreňová, J. Kretinsky, M. Chmelik, K. Chatterjee, I. Cěrná, C. Belta,
    in:, Proceedings of the 18th International Conference on Hybrid Systems: Computation
    and Control, ACM, 2015, pp. 259–268.'
conference:
  end_date: 2015-04-16
  location: Seattle, WA, United States
  name: 'HSCC: Hybrid Systems - Computation and Control'
  start_date: 2015-04-14
date_created: 2018-12-11T11:53:29Z
date_published: 2015-04-14T00:00:00Z
date_updated: 2025-06-11T06:33:00Z
day: '14'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1145/2728606.2728608
ec_funded: 1
external_id:
  arxiv:
  - '1410.5387'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1410.5387
month: '04'
oa: 1
oa_version: Preprint
page: 259 - 268
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: 'Proceedings of the 18th International Conference on Hybrid Systems:
  Computation and Control'
publication_status: published
publisher: ACM
publist_id: '5456'
related_material:
  record:
  - id: '1407'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Temporal logic control for stochastic linear systems using abstraction refinement
  of probabilistic games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1691'
abstract:
- lang: eng
  text: We consider a case study of the problem of deploying an autonomous air vehicle
    in a partially observable, dynamic, indoor environment from a specification given
    as a linear temporal logic (LTL) formula over regions of interest. We model the
    motion and sensing capabilities of the vehicle as a partially observable Markov
    decision process (POMDP). We adapt recent results for solving POMDPs with parity
    objectives to generate a control policy. We also extend the existing framework
    with a policy minimization technique to obtain a better implementable policy,
    while preserving its correctness. The proposed techniques are illustrated in an
    experimental setup involving an autonomous quadrotor performing surveillance in
    a dynamic environment.
author:
- first_name: Mária
  full_name: Svoreňová, Mária
  last_name: Svoreňová
- first_name: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Kevin
  full_name: Leahy, Kevin
  last_name: Leahy
- first_name: Hasan
  full_name: Eniser, Hasan
  last_name: Eniser
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ivana
  full_name: Cěrná, Ivana
  last_name: Cěrná
- first_name: Cǎlin
  full_name: Belta, Cǎlin
  last_name: Belta
citation:
  ama: 'Svoreňová M, Chmelik M, Leahy K, et al. Temporal logic motion planning using
    POMDPs with parity objectives: Case study paper. In: <i>Proceedings of the 18th
    International Conference on Hybrid Systems: Computation and Control</i>. ACM;
    2015:233-238. doi:<a href="https://doi.org/10.1145/2728606.2728617">10.1145/2728606.2728617</a>'
  apa: 'Svoreňová, M., Chmelik, M., Leahy, K., Eniser, H., Chatterjee, K., Cěrná,
    I., &#38; Belta, C. (2015). Temporal logic motion planning using POMDPs with parity
    objectives: Case study paper. In <i>Proceedings of the 18th International Conference
    on Hybrid Systems: Computation and Control</i> (pp. 233–238). Seattle, WA, United
    States: ACM. <a href="https://doi.org/10.1145/2728606.2728617">https://doi.org/10.1145/2728606.2728617</a>'
  chicago: 'Svoreňová, Mária, Martin Chmelik, Kevin Leahy, Hasan Eniser, Krishnendu
    Chatterjee, Ivana Cěrná, and Cǎlin Belta. “Temporal Logic Motion Planning Using
    POMDPs with Parity Objectives: Case Study Paper.” In <i>Proceedings of the 18th
    International Conference on Hybrid Systems: Computation and Control</i>, 233–38.
    ACM, 2015. <a href="https://doi.org/10.1145/2728606.2728617">https://doi.org/10.1145/2728606.2728617</a>.'
  ieee: 'M. Svoreňová <i>et al.</i>, “Temporal logic motion planning using POMDPs
    with parity objectives: Case study paper,” in <i>Proceedings of the 18th International
    Conference on Hybrid Systems: Computation and Control</i>, Seattle, WA, United
    States, 2015, pp. 233–238.'
  ista: 'Svoreňová M, Chmelik M, Leahy K, Eniser H, Chatterjee K, Cěrná I, Belta C.
    2015. Temporal logic motion planning using POMDPs with parity objectives: Case
    study paper. Proceedings of the 18th International Conference on Hybrid Systems:
    Computation and Control. HSCC: Hybrid Systems - Computation and Control, 233–238.'
  mla: 'Svoreňová, Mária, et al. “Temporal Logic Motion Planning Using POMDPs with
    Parity Objectives: Case Study Paper.” <i>Proceedings of the 18th International
    Conference on Hybrid Systems: Computation and Control</i>, ACM, 2015, pp. 233–38,
    doi:<a href="https://doi.org/10.1145/2728606.2728617">10.1145/2728606.2728617</a>.'
  short: 'M. Svoreňová, M. Chmelik, K. Leahy, H. Eniser, K. Chatterjee, I. Cěrná,
    C. Belta, in:, Proceedings of the 18th International Conference on Hybrid Systems:
    Computation and Control, ACM, 2015, pp. 233–238.'
conference:
  end_date: 2015-04-16
  location: Seattle, WA, United States
  name: 'HSCC: Hybrid Systems - Computation and Control'
  start_date: 2015-04-14
date_created: 2018-12-11T11:53:29Z
date_published: 2015-04-14T00:00:00Z
date_updated: 2021-01-12T06:52:33Z
day: '14'
department:
- _id: KrCh
doi: 10.1145/2728606.2728617
ec_funded: 1
language:
- iso: eng
month: '04'
oa_version: None
page: 233 - 238
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: 'Proceedings of the 18th International Conference on Hybrid Systems:
  Computation and Control'
publication_status: published
publisher: ACM
publist_id: '5453'
scopus_import: 1
status: public
title: 'Temporal logic motion planning using POMDPs with parity objectives: Case study
  paper'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1694'
abstract:
- lang: eng
  text: "We introduce quantitative timed refinement and timed simulation (directed)
    metrics, incorporating zenoness checks, for timed systems. These metrics assign
    positive real numbers which quantify the timing mismatches between two timed systems,
    amongst non-zeno runs. We quantify timing mismatches in three ways: (1) the maximal
    timing mismatch that can arise, (2) the “steady-state” maximal timing mismatches,
    where initial transient timing mismatches are ignored; and (3) the (long-run)
    average timing mismatches amongst two systems. These three kinds of mismatches
    constitute three important types of timing differences. Our event times are the
    global times, measured from the start of the system execution, not just the time
    durations of individual steps. We present algorithms over timed automata for computing
    the three quantitative simulation distances to within any desired degree of accuracy.
    In order to compute the values of the quantitative simulation distances, we use
    a game theoretic formulation. We introduce two new kinds of objectives for two
    player games on finite-state game graphs: (1) eventual debit-sum level objectives,
    and (2) average debit-sum level objectives. We present algorithms for computing
    the optimal values for these objectives in graph games, and then use these algorithms
    to compute the values of the timed simulation distances over timed automata.\r\n"
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Vinayak
  full_name: Prabhu, Vinayak
  last_name: Prabhu
citation:
  ama: Chatterjee K, Prabhu V. Quantitative temporal simulation and refinement distances
    for timed systems. <i>IEEE Transactions on Automatic Control</i>. 2015;60(9):2291-2306.
    doi:<a href="https://doi.org/10.1109/TAC.2015.2404612">10.1109/TAC.2015.2404612</a>
  apa: Chatterjee, K., &#38; Prabhu, V. (2015). Quantitative temporal simulation and
    refinement distances for timed systems. <i>IEEE Transactions on Automatic Control</i>.
    IEEE. <a href="https://doi.org/10.1109/TAC.2015.2404612">https://doi.org/10.1109/TAC.2015.2404612</a>
  chicago: Chatterjee, Krishnendu, and Vinayak Prabhu. “Quantitative Temporal Simulation
    and Refinement Distances for Timed Systems.” <i>IEEE Transactions on Automatic
    Control</i>. IEEE, 2015. <a href="https://doi.org/10.1109/TAC.2015.2404612">https://doi.org/10.1109/TAC.2015.2404612</a>.
  ieee: K. Chatterjee and V. Prabhu, “Quantitative temporal simulation and refinement
    distances for timed systems,” <i>IEEE Transactions on Automatic Control</i>, vol.
    60, no. 9. IEEE, pp. 2291–2306, 2015.
  ista: Chatterjee K, Prabhu V. 2015. Quantitative temporal simulation and refinement
    distances for timed systems. IEEE Transactions on Automatic Control. 60(9), 2291–2306.
  mla: Chatterjee, Krishnendu, and Vinayak Prabhu. “Quantitative Temporal Simulation
    and Refinement Distances for Timed Systems.” <i>IEEE Transactions on Automatic
    Control</i>, vol. 60, no. 9, IEEE, 2015, pp. 2291–306, doi:<a href="https://doi.org/10.1109/TAC.2015.2404612">10.1109/TAC.2015.2404612</a>.
  short: K. Chatterjee, V. Prabhu, IEEE Transactions on Automatic Control 60 (2015)
    2291–2306.
date_created: 2018-12-11T11:53:30Z
date_published: 2015-02-24T00:00:00Z
date_updated: 2025-09-23T10:00:03Z
day: '24'
department:
- _id: KrCh
doi: 10.1109/TAC.2015.2404612
ec_funded: 1
external_id:
  isi:
  - '000360501800001'
intvolume: '        60'
isi: 1
issue: '9'
language:
- iso: eng
month: '02'
oa_version: None
page: 2291 - 2306
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: IEEE Transactions on Automatic Control
publication_status: published
publisher: IEEE
publist_id: '5450'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative temporal simulation and refinement distances for timed systems
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 60
year: '2015'
...
---
_id: '1698'
abstract:
- lang: eng
  text: 'In mean-payoff games, the objective of the protagonist is to ensure that
    the limit average of an infinite sequence of numeric weights is nonnegative. In
    energy games, the objective is to ensure that the running sum of weights is always
    nonnegative. Multi-mean-payoff and multi-energy games replace individual weights
    by tuples, and the limit average (resp., running sum) of each coordinate must
    be (resp., remain) nonnegative. We prove finite-memory determinacy of multi-energy
    games and show inter-reducibility of multi-mean-payoff and multi-energy games
    for finite-memory strategies. We improve the computational complexity for solving
    both classes with finite-memory strategies: we prove coNP-completeness improving
    the previous known EXPSPACE bound. For memoryless strategies, we show that deciding
    the existence of a winning strategy for the protagonist is NP-complete. We present
    the first solution of multi-mean-payoff games with infinite-memory strategies:
    we show that mean-payoff-sup objectives can be decided in NP∩coNP, whereas mean-payoff-inf
    objectives are coNP-complete.'
acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF)
  Grant No P23499-N23, FWF NFN Grant No S11407-N23 and S11402-N23 (RiSE), ERC Start
  grant (279307: Graph Games), Microsoft faculty fellows award, the ERC Advanced Grant
  QUAREM (267989: Quantitative Reactive Modeling), European project Cassting (FP7-601148),
  ERC Start grant (279499: inVEST).'
article_processing_charge: No
arxiv: 1
author:
- first_name: Yaron
  full_name: Velner, Yaron
  last_name: Velner
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Alexander
  full_name: Rabinovich, Alexander
  last_name: Rabinovich
- first_name: Jean
  full_name: Raskin, Jean
  last_name: Raskin
citation:
  ama: Velner Y, Chatterjee K, Doyen L, Henzinger TA, Rabinovich A, Raskin J. The
    complexity of multi-mean-payoff and multi-energy games. <i>Information and Computation</i>.
    2015;241(4):177-196. doi:<a href="https://doi.org/10.1016/j.ic.2015.03.001">10.1016/j.ic.2015.03.001</a>
  apa: Velner, Y., Chatterjee, K., Doyen, L., Henzinger, T. A., Rabinovich, A., &#38;
    Raskin, J. (2015). The complexity of multi-mean-payoff and multi-energy games.
    <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2015.03.001">https://doi.org/10.1016/j.ic.2015.03.001</a>
  chicago: Velner, Yaron, Krishnendu Chatterjee, Laurent Doyen, Thomas A Henzinger,
    Alexander Rabinovich, and Jean Raskin. “The Complexity of Multi-Mean-Payoff and
    Multi-Energy Games.” <i>Information and Computation</i>. Elsevier, 2015. <a href="https://doi.org/10.1016/j.ic.2015.03.001">https://doi.org/10.1016/j.ic.2015.03.001</a>.
  ieee: Y. Velner, K. Chatterjee, L. Doyen, T. A. Henzinger, A. Rabinovich, and J.
    Raskin, “The complexity of multi-mean-payoff and multi-energy games,” <i>Information
    and Computation</i>, vol. 241, no. 4. Elsevier, pp. 177–196, 2015.
  ista: Velner Y, Chatterjee K, Doyen L, Henzinger TA, Rabinovich A, Raskin J. 2015.
    The complexity of multi-mean-payoff and multi-energy games. Information and Computation.
    241(4), 177–196.
  mla: Velner, Yaron, et al. “The Complexity of Multi-Mean-Payoff and Multi-Energy
    Games.” <i>Information and Computation</i>, vol. 241, no. 4, Elsevier, 2015, pp.
    177–96, doi:<a href="https://doi.org/10.1016/j.ic.2015.03.001">10.1016/j.ic.2015.03.001</a>.
  short: Y. Velner, K. Chatterjee, L. Doyen, T.A. Henzinger, A. Rabinovich, J. Raskin,
    Information and Computation 241 (2015) 177–196.
corr_author: '1'
date_created: 2018-12-11T11:53:32Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2025-09-23T13:47:20Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2015.03.001
ec_funded: 1
external_id:
  arxiv:
  - '1209.3234'
  isi:
  - '000353352800008'
intvolume: '       241'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1209.3234
month: '04'
oa: 1
oa_version: Preprint
page: 177 - 196
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '5443'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The complexity of multi-mean-payoff and multi-energy games
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 241
year: '2015'
...
---
_id: '1714'
abstract:
- lang: eng
  text: 'We present a flexible framework for the automated competitive analysis of
    on-line scheduling algorithms for firm-deadline real-time tasks based on multi-objective
    graphs: Given a task set and an on-line scheduling algorithm specified as a labeled
    transition system, along with some optional safety, liveness, and/or limit-average
    constraints for the adversary, we automatically compute the competitive ratio
    of the algorithm w.r.t. A clairvoyant scheduler. We demonstrate the flexibility
    and power of our approach by comparing the competitive ratio of several on-line
    algorithms, including Dover, that have been proposed in the past, for various
    task sets. Our experimental results reveal that none of these algorithms is universally
    optimal, in the sense that there are task sets where other schedulers provide
    better performance. Our framework is hence a very useful design tool for selecting
    optimal algorithms for a given application.'
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Alexander
  full_name: Kößler, Alexander
  last_name: Kößler
- first_name: Ulrich
  full_name: Schmid, Ulrich
  last_name: Schmid
citation:
  ama: 'Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. A framework for automated
    competitive analysis of on-line scheduling of firm-deadline tasks. In: <i>Real-Time
    Systems Symposium</i>. Vol 2015. IEEE; 2015:118-127. doi:<a href="https://doi.org/10.1109/RTSS.2014.9">10.1109/RTSS.2014.9</a>'
  apa: 'Chatterjee, K., Pavlogiannis, A., Kößler, A., &#38; Schmid, U. (2015). A framework
    for automated competitive analysis of on-line scheduling of firm-deadline tasks.
    In <i>Real-Time Systems Symposium</i> (Vol. 2015, pp. 118–127). Rome, Italy: IEEE.
    <a href="https://doi.org/10.1109/RTSS.2014.9">https://doi.org/10.1109/RTSS.2014.9</a>'
  chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, Alexander Kößler, and Ulrich
    Schmid. “A Framework for Automated Competitive Analysis of On-Line Scheduling
    of Firm-Deadline Tasks.” In <i>Real-Time Systems Symposium</i>, 2015:118–27. IEEE,
    2015. <a href="https://doi.org/10.1109/RTSS.2014.9">https://doi.org/10.1109/RTSS.2014.9</a>.
  ieee: K. Chatterjee, A. Pavlogiannis, A. Kößler, and U. Schmid, “A framework for
    automated competitive analysis of on-line scheduling of firm-deadline tasks,”
    in <i>Real-Time Systems Symposium</i>, Rome, Italy, 2015, vol. 2015, no. January,
    pp. 118–127.
  ista: 'Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. 2015. A framework for automated
    competitive analysis of on-line scheduling of firm-deadline tasks. Real-Time Systems
    Symposium. RTSS: Real-Time Systems Symposium vol. 2015, 118–127.'
  mla: Chatterjee, Krishnendu, et al. “A Framework for Automated Competitive Analysis
    of On-Line Scheduling of Firm-Deadline Tasks.” <i>Real-Time Systems Symposium</i>,
    vol. 2015, no. January, IEEE, 2015, pp. 118–27, doi:<a href="https://doi.org/10.1109/RTSS.2014.9">10.1109/RTSS.2014.9</a>.
  short: K. Chatterjee, A. Pavlogiannis, A. Kößler, U. Schmid, in:, Real-Time Systems
    Symposium, IEEE, 2015, pp. 118–127.
conference:
  end_date: 2014-12-05
  location: Rome, Italy
  name: 'RTSS: Real-Time Systems Symposium'
  start_date: 2014-12-02
date_created: 2018-12-11T11:53:37Z
date_published: 2015-01-15T00:00:00Z
date_updated: 2026-04-08T14:22:16Z
day: '15'
department:
- _id: KrCh
doi: 10.1109/RTSS.2014.9
external_id:
  isi:
  - '000569750000012'
intvolume: '      2015'
isi: 1
issue: January
language:
- iso: eng
month: '01'
oa_version: None
page: 118 - 127
publication: Real-Time Systems Symposium
publication_status: published
publisher: IEEE
publist_id: '5417'
quality_controlled: '1'
related_material:
  record:
  - id: '5423'
    relation: earlier_version
    status: public
  - id: '821'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: A framework for automated competitive analysis of on-line scheduling of firm-deadline
  tasks
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 2015
year: '2015'
...
---
_id: '1846'
abstract:
- lang: eng
  text: Modal transition systems (MTS) is a well-studied specification formalism of
    reactive systems supporting a step-wise refinement methodology. Despite its many
    advantages, the formalism as well as its currently known extensions are incapable
    of expressing some practically needed aspects in the refinement process like exclusive,
    conditional and persistent choices. We introduce a new model called parametric
    modal transition systems (PMTS) together with a general modal refinement notion
    that overcomes many of the limitations. We investigate the computational complexity
    of modal and thorough refinement checking on PMTS and its subclasses and provide
    a direct encoding of the modal refinement problem into quantified Boolean formulae,
    allowing us to employ state-of-the-art QBF solvers for modal refinement checking.
    The experiments we report on show that the feasibility of refinement checking
    is more influenced by the degree of nondeterminism rather than by the syntactic
    restrictions on the types of formulae allowed in the description of the PMTS.
article_processing_charge: No
article_type: original
author:
- first_name: Nikola
  full_name: Beneš, Nikola
  last_name: Beneš
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Kim
  full_name: Larsen, Kim
  last_name: Larsen
- first_name: Mikael
  full_name: Möller, Mikael
  last_name: Möller
- first_name: Salomon
  full_name: Sickert, Salomon
  last_name: Sickert
- first_name: Jiří
  full_name: Srba, Jiří
  last_name: Srba
citation:
  ama: Beneš N, Kretinsky J, Larsen K, Möller M, Sickert S, Srba J. Refinement checking
    on parametric modal transition systems. <i>Acta Informatica</i>. 2015;52(2-3):269-297.
    doi:<a href="https://doi.org/10.1007/s00236-015-0215-4">10.1007/s00236-015-0215-4</a>
  apa: Beneš, N., Kretinsky, J., Larsen, K., Möller, M., Sickert, S., &#38; Srba,
    J. (2015). Refinement checking on parametric modal transition systems. <i>Acta
    Informatica</i>. Springer. <a href="https://doi.org/10.1007/s00236-015-0215-4">https://doi.org/10.1007/s00236-015-0215-4</a>
  chicago: Beneš, Nikola, Jan Kretinsky, Kim Larsen, Mikael Möller, Salomon Sickert,
    and Jiří Srba. “Refinement Checking on Parametric Modal Transition Systems.” <i>Acta
    Informatica</i>. Springer, 2015. <a href="https://doi.org/10.1007/s00236-015-0215-4">https://doi.org/10.1007/s00236-015-0215-4</a>.
  ieee: N. Beneš, J. Kretinsky, K. Larsen, M. Möller, S. Sickert, and J. Srba, “Refinement
    checking on parametric modal transition systems,” <i>Acta Informatica</i>, vol.
    52, no. 2–3. Springer, pp. 269–297, 2015.
  ista: Beneš N, Kretinsky J, Larsen K, Möller M, Sickert S, Srba J. 2015. Refinement
    checking on parametric modal transition systems. Acta Informatica. 52(2–3), 269–297.
  mla: Beneš, Nikola, et al. “Refinement Checking on Parametric Modal Transition Systems.”
    <i>Acta Informatica</i>, vol. 52, no. 2–3, Springer, 2015, pp. 269–97, doi:<a
    href="https://doi.org/10.1007/s00236-015-0215-4">10.1007/s00236-015-0215-4</a>.
  short: N. Beneš, J. Kretinsky, K. Larsen, M. Möller, S. Sickert, J. Srba, Acta Informatica
    52 (2015) 269–297.
corr_author: '1'
date_created: 2018-12-11T11:54:20Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2025-09-23T10:33:12Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/s00236-015-0215-4
ec_funded: 1
external_id:
  isi:
  - '000351160200008'
file:
- access_level: open_access
  checksum: fb4037ddc4fc05f33080dd3547ede350
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-15T08:57:44Z
  date_updated: 2020-07-14T12:45:19Z
  file_id: '7854'
  file_name: 2015_ActaInfo_Benes.pdf
  file_size: 488482
  relation: main_file
file_date_updated: 2020-07-14T12:45:19Z
has_accepted_license: '1'
intvolume: '        52'
isi: 1
issue: 2-3
language:
- iso: eng
month: '04'
oa: 1
oa_version: Submitted Version
page: 269 - 297
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: Acta Informatica
publication_status: published
publisher: Springer
publist_id: '5255'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Refinement checking on parametric modal transition systems
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 52
year: '2015'
...
---
_id: '1851'
abstract:
- lang: eng
  text: We consider mating strategies for females who search for males sequentially
    during a season of limited length. We show that the best strategy rejects a given
    male type if encountered before a time-threshold but accepts him after. For frequency-independent
    benefits, we obtain the optimal time-thresholds explicitly for both discrete and
    continuous distributions of males, and allow for mistakes being made in assessing
    the correct male type. When the benefits are indirect (genes for the offspring)
    and the population is under frequency-dependent ecological selection, the benefits
    depend on the mating strategy of other females as well. This case is particularly
    relevant to speciation models that seek to explore the stability of reproductive
    isolation by assortative mating under frequency-dependent ecological selection.
    We show that the indirect benefits are to be quantified by the reproductive values
    of couples, and describe how the evolutionarily stable time-thresholds can be
    found. We conclude with an example based on the Levene model, in which we analyze
    the evolutionarily stable assortative mating strategies and the strength of reproductive
    isolation provided by them.
article_processing_charge: No
article_type: original
author:
- first_name: Tadeas
  full_name: Priklopil, Tadeas
  id: 3C869AA0-F248-11E8-B48F-1D18A9856A87
  last_name: Priklopil
- first_name: Eva
  full_name: Kisdi, Eva
  last_name: Kisdi
- first_name: Mats
  full_name: Gyllenberg, Mats
  last_name: Gyllenberg
citation:
  ama: Priklopil T, Kisdi E, Gyllenberg M. Evolutionarily stable mating decisions
    for sequentially searching females and the stability of reproductive isolation
    by assortative mating. <i>Evolution</i>. 2015;69(4):1015-1026. doi:<a href="https://doi.org/10.1111/evo.12618">10.1111/evo.12618</a>
  apa: Priklopil, T., Kisdi, E., &#38; Gyllenberg, M. (2015). Evolutionarily stable
    mating decisions for sequentially searching females and the stability of reproductive
    isolation by assortative mating. <i>Evolution</i>. Wiley. <a href="https://doi.org/10.1111/evo.12618">https://doi.org/10.1111/evo.12618</a>
  chicago: Priklopil, Tadeas, Eva Kisdi, and Mats Gyllenberg. “Evolutionarily Stable
    Mating Decisions for Sequentially Searching Females and the Stability of Reproductive
    Isolation by Assortative Mating.” <i>Evolution</i>. Wiley, 2015. <a href="https://doi.org/10.1111/evo.12618">https://doi.org/10.1111/evo.12618</a>.
  ieee: T. Priklopil, E. Kisdi, and M. Gyllenberg, “Evolutionarily stable mating decisions
    for sequentially searching females and the stability of reproductive isolation
    by assortative mating,” <i>Evolution</i>, vol. 69, no. 4. Wiley, pp. 1015–1026,
    2015.
  ista: Priklopil T, Kisdi E, Gyllenberg M. 2015. Evolutionarily stable mating decisions
    for sequentially searching females and the stability of reproductive isolation
    by assortative mating. Evolution. 69(4), 1015–1026.
  mla: Priklopil, Tadeas, et al. “Evolutionarily Stable Mating Decisions for Sequentially
    Searching Females and the Stability of Reproductive Isolation by Assortative Mating.”
    <i>Evolution</i>, vol. 69, no. 4, Wiley, 2015, pp. 1015–26, doi:<a href="https://doi.org/10.1111/evo.12618">10.1111/evo.12618</a>.
  short: T. Priklopil, E. Kisdi, M. Gyllenberg, Evolution 69 (2015) 1015–1026.
corr_author: '1'
date_created: 2018-12-11T11:54:21Z
date_published: 2015-02-09T00:00:00Z
date_updated: 2025-09-22T14:27:30Z
day: '09'
ddc:
- '570'
department:
- _id: NiBa
- _id: KrCh
doi: 10.1111/evo.12618
ec_funded: 1
external_id:
  isi:
  - '000353236000014'
  pmid:
  - '25662095'
file:
- access_level: open_access
  checksum: 1e8be0b1d7598a78cd2623d8ee8e7798
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-15T09:05:34Z
  date_updated: 2020-07-14T12:45:19Z
  file_id: '7855'
  file_name: 2015_Evolution_Priklopil.pdf
  file_size: 967214
  relation: main_file
file_date_updated: 2020-07-14T12:45:19Z
has_accepted_license: '1'
intvolume: '        69'
isi: 1
issue: '4'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Submitted Version
page: 1015 - 1026
pmid: 1
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: Evolution
publication_identifier:
  eissn:
  - 1558-5646
  issn:
  - 0014-3820
publication_status: published
publisher: Wiley
publist_id: '5249'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evolutionarily stable mating decisions for sequentially searching females and
  the stability of reproductive isolation by assortative mating
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 69
year: '2015'
...
---
_id: '1856'
abstract:
- lang: eng
  text: 'The traditional synthesis question given a specification asks for the automatic
    construction of a system that satisfies the specification, whereas often there
    exists a preference order among the different systems that satisfy the given specification.
    Under a probabilistic assumption about the possible inputs, such a preference
    order is naturally expressed by a weighted automaton, which assigns to each word
    a value, such that a system is preferred if it generates a higher expected value.
    We solve the following optimal synthesis problem: given an omega-regular specification,
    a Markov chain that describes the distribution of inputs, and a weighted automaton
    that measures how well a system satisfies the given specification under the input
    assumption, synthesize a system that optimizes the measured value. For safety
    specifications and quantitative measures that are defined by mean-payoff automata,
    the optimal synthesis problem reduces to finding a strategy in a Markov decision
    process (MDP) that is optimal for a long-run average reward objective, which can
    be achieved in polynomial time. For general omega-regular specifications along
    with mean-payoff automata, the solution rests on a new, polynomial-time algorithm
    for computing optimal strategies in MDPs with mean-payoff parity objectives. Our
    algorithm constructs optimal strategies that consist of two memoryless strategies
    and a counter. The counter is in general not bounded. To obtain a finite-state
    system, we show how to construct an ε-optimal strategy with a bounded counter,
    for all ε &gt; 0. Furthermore, we show how to decide in polynomial time if it
    is possible to construct an optimal finite-state system (i.e., a system without
    a counter) for a given specification. We have implemented our approach and the
    underlying algorithms in a tool that takes qualitative and quantitative specifications
    and automatically constructs a system that satisfies the qualitative specification
    and optimizes the quantitative specification, if such a system exists. We present
    some experimental results showing optimal systems that were automatically generated
    in this way.'
article_number: '9'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Barbara
  full_name: Jobstmann, Barbara
  last_name: Jobstmann
- first_name: Rohit
  full_name: Singh, Rohit
  last_name: Singh
citation:
  ama: Chatterjee K, Henzinger TA, Jobstmann B, Singh R. Measuring and synthesizing
    systems in probabilistic environments. <i>Journal of the ACM</i>. 2015;62(1).
    doi:<a href="https://doi.org/10.1145/2699430">10.1145/2699430</a>
  apa: Chatterjee, K., Henzinger, T. A., Jobstmann, B., &#38; Singh, R. (2015). Measuring
    and synthesizing systems in probabilistic environments. <i>Journal of the ACM</i>.
    ACM. <a href="https://doi.org/10.1145/2699430">https://doi.org/10.1145/2699430</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Rohit
    Singh. “Measuring and Synthesizing Systems in Probabilistic Environments.” <i>Journal
    of the ACM</i>. ACM, 2015. <a href="https://doi.org/10.1145/2699430">https://doi.org/10.1145/2699430</a>.
  ieee: K. Chatterjee, T. A. Henzinger, B. Jobstmann, and R. Singh, “Measuring and
    synthesizing systems in probabilistic environments,” <i>Journal of the ACM</i>,
    vol. 62, no. 1. ACM, 2015.
  ista: Chatterjee K, Henzinger TA, Jobstmann B, Singh R. 2015. Measuring and synthesizing
    systems in probabilistic environments. Journal of the ACM. 62(1), 9.
  mla: Chatterjee, Krishnendu, et al. “Measuring and Synthesizing Systems in Probabilistic
    Environments.” <i>Journal of the ACM</i>, vol. 62, no. 1, 9, ACM, 2015, doi:<a
    href="https://doi.org/10.1145/2699430">10.1145/2699430</a>.
  short: K. Chatterjee, T.A. Henzinger, B. Jobstmann, R. Singh, Journal of the ACM
    62 (2015).
date_created: 2018-12-11T11:54:23Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2025-09-23T09:33:01Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/2699430
ec_funded: 1
external_id:
  arxiv:
  - '1004.0739'
  isi:
  - '000350563000009'
intvolume: '        62'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1004.0739
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Journal of the ACM
publication_status: published
publisher: ACM
publist_id: '5244'
quality_controlled: '1'
related_material:
  record:
  - id: '3864'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Measuring and synthesizing systems in probabilistic environments
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 62
year: '2015'
...
---
_id: '1873'
abstract:
- lang: eng
  text: 'We consider partially observable Markov decision processes (POMDPs) with
    limit-average payoff, where a reward value in the interval [0,1] is associated
    with every transition, and the payoff of an infinite path is the long-run average
    of the rewards. We consider two types of path constraints: (i) a quantitative
    constraint defines the set of paths where the payoff is at least a given threshold
    λ1ε(0,1]; and (ii) a qualitative constraint which is a special case of the quantitative
    constraint with λ1=1. We consider the computation of the almost-sure winning set,
    where the controller needs to ensure that the path constraint is satisfied with
    probability 1. Our main results for qualitative path constraints are as follows:
    (i) the problem of deciding the existence of a finite-memory controller is EXPTIME-complete;
    and (ii) the problem of deciding the existence of an infinite-memory controller
    is undecidable. For quantitative path constraints we show that the problem of
    deciding the existence of a finite-memory controller is undecidable. We also present
    a prototype implementation of our EXPTIME algorithm and experimental results on
    several examples.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
citation:
  ama: Chatterjee K, Chmelik M. POMDPs under probabilistic semantics. <i>Artificial
    Intelligence</i>. 2015;221:46-72. doi:<a href="https://doi.org/10.1016/j.artint.2014.12.009">10.1016/j.artint.2014.12.009</a>
  apa: Chatterjee, K., &#38; Chmelik, M. (2015). POMDPs under probabilistic semantics.
    <i>Artificial Intelligence</i>. Elsevier. <a href="https://doi.org/10.1016/j.artint.2014.12.009">https://doi.org/10.1016/j.artint.2014.12.009</a>
  chicago: Chatterjee, Krishnendu, and Martin Chmelik. “POMDPs under Probabilistic
    Semantics.” <i>Artificial Intelligence</i>. Elsevier, 2015. <a href="https://doi.org/10.1016/j.artint.2014.12.009">https://doi.org/10.1016/j.artint.2014.12.009</a>.
  ieee: K. Chatterjee and M. Chmelik, “POMDPs under probabilistic semantics,” <i>Artificial
    Intelligence</i>, vol. 221. Elsevier, pp. 46–72, 2015.
  ista: Chatterjee K, Chmelik M. 2015. POMDPs under probabilistic semantics. Artificial
    Intelligence. 221, 46–72.
  mla: Chatterjee, Krishnendu, and Martin Chmelik. “POMDPs under Probabilistic Semantics.”
    <i>Artificial Intelligence</i>, vol. 221, Elsevier, 2015, pp. 46–72, doi:<a href="https://doi.org/10.1016/j.artint.2014.12.009">10.1016/j.artint.2014.12.009</a>.
  short: K. Chatterjee, M. Chmelik, Artificial Intelligence 221 (2015) 46–72.
corr_author: '1'
date_created: 2018-12-11T11:54:28Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2025-09-23T09:52:31Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.artint.2014.12.009
external_id:
  arxiv:
  - '1408.2058'
  isi:
  - '000350782300003'
intvolume: '       221'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1408.2058
month: '04'
oa: 1
oa_version: Preprint
page: 46 - 72
publication: Artificial Intelligence
publication_status: published
publisher: Elsevier
publist_id: '5224'
quality_controlled: '1'
scopus_import: '1'
status: public
title: POMDPs under probabilistic semantics
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 221
year: '2015'
...
---
_id: '1882'
abstract:
- lang: eng
  text: We provide a framework for compositional and iterative design and verification
    of systems with quantitative information, such as rewards, time or energy. It
    is based on disjunctive modal transition systems where we allow actions to bear
    various types of quantitative information. Throughout the design process the actions
    can be further refined and the information made more precise. We show how to compute
    the results of standard operations on the systems, including the quotient (residual),
    which has not been previously considered for quantitative non-deterministic systems.
    Our quantitative framework has close connections to the modal nu-calculus and
    is compositional with respect to general notions of distances between systems
    and the standard operations.
acknowledgement: This research was funded in part by the European Research Council
  (ERC) under grant agreement 267989 (QUAREM), by the Austrian Science Fund (FWF)
  project S11402-N23 (RiSE), and by the Czech Science Foundation, grant No. P202/12/G061.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Uli
  full_name: Fahrenberg, Uli
  last_name: Fahrenberg
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Axel
  full_name: Legay, Axel
  last_name: Legay
- first_name: Louis
  full_name: Traonouez, Louis
  last_name: Traonouez
citation:
  ama: 'Fahrenberg U, Kretinsky J, Legay A, Traonouez L. Compositionality for quantitative
    specifications. In: Vol 8997. Springer; 2015:306-324. doi:<a href="https://doi.org/10.1007/978-3-319-15317-9_19">10.1007/978-3-319-15317-9_19</a>'
  apa: 'Fahrenberg, U., Kretinsky, J., Legay, A., &#38; Traonouez, L. (2015). Compositionality
    for quantitative specifications (Vol. 8997, pp. 306–324). Presented at the FACS:
    Formal Aspects of Component Software, Bertinoro, Italy: Springer. <a href="https://doi.org/10.1007/978-3-319-15317-9_19">https://doi.org/10.1007/978-3-319-15317-9_19</a>'
  chicago: Fahrenberg, Uli, Jan Kretinsky, Axel Legay, and Louis Traonouez. “Compositionality
    for Quantitative Specifications,” 8997:306–24. Springer, 2015. <a href="https://doi.org/10.1007/978-3-319-15317-9_19">https://doi.org/10.1007/978-3-319-15317-9_19</a>.
  ieee: 'U. Fahrenberg, J. Kretinsky, A. Legay, and L. Traonouez, “Compositionality
    for quantitative specifications,” presented at the FACS: Formal Aspects of Component
    Software, Bertinoro, Italy, 2015, vol. 8997, pp. 306–324.'
  ista: 'Fahrenberg U, Kretinsky J, Legay A, Traonouez L. 2015. Compositionality for
    quantitative specifications. FACS: Formal Aspects of Component Software, LNCS,
    vol. 8997, 306–324.'
  mla: Fahrenberg, Uli, et al. <i>Compositionality for Quantitative Specifications</i>.
    Vol. 8997, Springer, 2015, pp. 306–24, doi:<a href="https://doi.org/10.1007/978-3-319-15317-9_19">10.1007/978-3-319-15317-9_19</a>.
  short: U. Fahrenberg, J. Kretinsky, A. Legay, L. Traonouez, in:, Springer, 2015,
    pp. 306–324.
conference:
  end_date: 2014-09-12
  location: Bertinoro, Italy
  name: 'FACS: Formal Aspects of Component Software'
  start_date: 2014-09-10
corr_author: '1'
date_created: 2018-12-11T11:54:31Z
date_published: 2015-01-30T00:00:00Z
date_updated: 2025-06-11T07:22:00Z
day: '30'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/978-3-319-15317-9_19
ec_funded: 1
external_id:
  arxiv:
  - '1408.1256'
intvolume: '      8997'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1408.1256
month: '01'
oa: 1
oa_version: Preprint
page: 306 - 324
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '5216'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Compositionality for quantitative specifications
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8997
year: '2015'
...
---
_id: '523'
abstract:
- lang: eng
  text: We consider two-player games played on weighted directed graphs with mean-payoff
    and total-payoff objectives, two classical quantitative objectives. While for
    single-dimensional games the complexity and memory bounds for both objectives
    coincide, we show that in contrast to multi-dimensional mean-payoff games that
    are known to be coNP-complete, multi-dimensional total-payoff games are undecidable.
    We introduce conservative approximations of these objectives, where the payoff
    is considered over a local finite window sliding along a play, instead of the
    whole play. For single dimension, we show that (i) if the window size is polynomial,
    deciding the winner takes polynomial time, and (ii) the existence of a bounded
    window can be decided in NP ∩ coNP, and is at least as hard as solving mean-payoff
    games. For multiple dimensions, we show that (i) the problem with fixed window
    size is EXPTIME-complete, and (ii) there is no primitive-recursive algorithm to
    decide the existence of a bounded window.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Mickael
  full_name: Randour, Mickael
  last_name: Randour
- first_name: Jean
  full_name: Raskin, Jean
  last_name: Raskin
citation:
  ama: Chatterjee K, Doyen L, Randour M, Raskin J. Looking at mean-payoff and total-payoff
    through windows. <i>Information and Computation</i>. 2015;242(6):25-52. doi:<a
    href="https://doi.org/10.1016/j.ic.2015.03.010">10.1016/j.ic.2015.03.010</a>
  apa: Chatterjee, K., Doyen, L., Randour, M., &#38; Raskin, J. (2015). Looking at
    mean-payoff and total-payoff through windows. <i>Information and Computation</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.ic.2015.03.010">https://doi.org/10.1016/j.ic.2015.03.010</a>
  chicago: Chatterjee, Krishnendu, Laurent Doyen, Mickael Randour, and Jean Raskin.
    “Looking at Mean-Payoff and Total-Payoff through Windows.” <i>Information and
    Computation</i>. Elsevier, 2015. <a href="https://doi.org/10.1016/j.ic.2015.03.010">https://doi.org/10.1016/j.ic.2015.03.010</a>.
  ieee: K. Chatterjee, L. Doyen, M. Randour, and J. Raskin, “Looking at mean-payoff
    and total-payoff through windows,” <i>Information and Computation</i>, vol. 242,
    no. 6. Elsevier, pp. 25–52, 2015.
  ista: Chatterjee K, Doyen L, Randour M, Raskin J. 2015. Looking at mean-payoff and
    total-payoff through windows. Information and Computation. 242(6), 25–52.
  mla: Chatterjee, Krishnendu, et al. “Looking at Mean-Payoff and Total-Payoff through
    Windows.” <i>Information and Computation</i>, vol. 242, no. 6, Elsevier, 2015,
    pp. 25–52, doi:<a href="https://doi.org/10.1016/j.ic.2015.03.010">10.1016/j.ic.2015.03.010</a>.
  short: K. Chatterjee, L. Doyen, M. Randour, J. Raskin, Information and Computation
    242 (2015) 25–52.
date_created: 2018-12-11T11:46:57Z
date_published: 2015-03-24T00:00:00Z
date_updated: 2025-09-23T09:29:55Z
day: '24'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.010
ec_funded: 1
external_id:
  arxiv:
  - '1302.4248'
  isi:
  - '000355664900003'
intvolume: '       242'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1302.4248
month: '03'
oa: 1
oa_version: Preprint
page: 25 - 52
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7296'
quality_controlled: '1'
related_material:
  record:
  - id: '2279'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Looking at mean-payoff and total-payoff through windows
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 242
year: '2015'
...
---
_id: '524'
abstract:
- lang: eng
  text: 'We consider concurrent games played by two players on a finite-state graph,
    where in every round the players simultaneously choose a move, and the current
    state along with the joint moves determine the successor state. We study the most
    fundamental objective for concurrent games, namely, mean-payoff or limit-average
    objective, where a reward is associated to each transition, and the goal of player
    1 is to maximize the long-run average of the rewards, and the objective of player
    2 is strictly the opposite (i.e., the games are zero-sum). The path constraint
    for player 1 could be qualitative, i.e., the mean-payoff is the maximal reward,
    or arbitrarily close to it; or quantitative, i.e., a given threshold between the
    minimal and maximal reward. We consider the computation of the almost-sure (resp.
    positive) winning sets, where player 1 can ensure that the path constraint is
    satisfied with probability 1 (resp. positive probability). Almost-sure winning
    with qualitative constraint exactly corresponds to the question of whether there
    exists a strategy to ensure that the payoff is the maximal reward of the game.
    Our main results for qualitative path constraints are as follows: (1) we establish
    qualitative determinacy results that show that for every state either player 1
    has a strategy to ensure almost-sure (resp. positive) winning against all player-2
    strategies, or player 2 has a spoiling strategy to falsify almost-sure (resp.
    positive) winning against all player-1 strategies; (2) we present optimal strategy
    complexity results that precisely characterize the classes of strategies required
    for almost-sure and positive winning for both players; and (3) we present quadratic
    time algorithms to compute the almost-sure and the positive winning sets, matching
    the best known bound of the algorithms for much simpler problems (such as reachability
    objectives). For quantitative constraints we show that a polynomial time solution
    for the almost-sure or the positive winning set would imply a solution to a long-standing
    open problem (of solving the value problem of turn-based deterministic mean-payoff
    games) that is not known to be solvable in polynomial time.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
citation:
  ama: Chatterjee K, Ibsen-Jensen R. Qualitative analysis of concurrent mean payoff
    games. <i>Information and Computation</i>. 2015;242(6):2-24. doi:<a href="https://doi.org/10.1016/j.ic.2015.03.009">10.1016/j.ic.2015.03.009</a>
  apa: Chatterjee, K., &#38; Ibsen-Jensen, R. (2015). Qualitative analysis of concurrent
    mean payoff games. <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2015.03.009">https://doi.org/10.1016/j.ic.2015.03.009</a>
  chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “Qualitative Analysis
    of Concurrent Mean Payoff Games.” <i>Information and Computation</i>. Elsevier,
    2015. <a href="https://doi.org/10.1016/j.ic.2015.03.009">https://doi.org/10.1016/j.ic.2015.03.009</a>.
  ieee: K. Chatterjee and R. Ibsen-Jensen, “Qualitative analysis of concurrent mean
    payoff games,” <i>Information and Computation</i>, vol. 242, no. 6. Elsevier,
    pp. 2–24, 2015.
  ista: Chatterjee K, Ibsen-Jensen R. 2015. Qualitative analysis of concurrent mean
    payoff games. Information and Computation. 242(6), 2–24.
  mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “Qualitative Analysis of Concurrent
    Mean Payoff Games.” <i>Information and Computation</i>, vol. 242, no. 6, Elsevier,
    2015, pp. 2–24, doi:<a href="https://doi.org/10.1016/j.ic.2015.03.009">10.1016/j.ic.2015.03.009</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, Information and Computation 242 (2015) 2–24.
corr_author: '1'
date_created: 2018-12-11T11:46:57Z
date_published: 2015-10-11T00:00:00Z
date_updated: 2025-09-23T09:56:28Z
day: '11'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.009
external_id:
  arxiv:
  - '1409.5306'
  isi:
  - '000355664900002'
intvolume: '       242'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1409.5306
month: '10'
oa: 1
oa_version: Preprint
page: 2 - 24
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7295'
quality_controlled: '1'
related_material:
  record:
  - id: '5403'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Qualitative analysis of concurrent mean payoff games
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 242
year: '2015'
...
---
_id: '5430'
abstract:
- lang: eng
  text: We consider the core algorithmic problems related to verification of systems
    with respect to three classical quantitative properties, namely, the mean- payoff
    property, the ratio property, and the minimum initial credit for energy property.
    The algorithmic problem given a graph and a quantitative property asks to compute
    the optimal value (the infimum value over all traces) from every node of the graph.
    We consider graphs with constant treewidth, and it is well-known that the control-flow
    graphs of most programs have constant treewidth. Let n denote the number of nodes
    of a graph, m the number of edges (for constant treewidth graphs m = O ( n ) )
    and W the largest absolute value of the weights. Our main theoretical results
    are as follows. First, for constant treewidth graphs we present an algorithm that
    approximates the mean-payoff value within a mul- tiplicative factor of ∊ in time
    O ( n · log( n/∊ )) and linear space, as compared to the classical algorithms
    that require quadratic time. Second, for the ratio property we present an algorithm
    that for constant treewidth graphs works in time O ( n · log( | a · b · n | ))
    = O ( n · log( n · W )) , when the output is a b , as compared to the previously
    best known algorithm with running time O ( n 2 · log( n · W )) . Third, for the
    minimum initial credit problem we show that (i) for general graphs the problem
    can be solved in O ( n 2 · m ) time and the associated decision problem can be
    solved in O ( n · m ) time, improving the previous known O ( n 3 · m · log( n
    · W )) and O ( n 2 · m ) bounds, respectively; and (ii) for constant treewidth
    graphs we present an algorithm that requires O ( n · log n ) time, improving the
    previous known O ( n 4 · log( n · W )) bound. We have implemented some of our
    algorithms and show that they present a significant speedup on standard benchmarks.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. <i>Faster Algorithms for Quantitative
    Verification in Constant Treewidth Graphs</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-319-v1-1">10.15479/AT:IST-2015-319-v1-1</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Pavlogiannis, A. (2015). <i>Faster
    algorithms for quantitative verification in constant treewidth graphs</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-319-v1-1">https://doi.org/10.15479/AT:IST-2015-319-v1-1</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
    <i>Faster Algorithms for Quantitative Verification in Constant Treewidth Graphs</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-319-v1-1">https://doi.org/10.15479/AT:IST-2015-319-v1-1</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, <i>Faster algorithms
    for quantitative verification in constant treewidth graphs</i>. IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2015. Faster algorithms for
    quantitative verification in constant treewidth graphs, IST Austria, 31p.
  mla: Chatterjee, Krishnendu, et al. <i>Faster Algorithms for Quantitative Verification
    in Constant Treewidth Graphs</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-319-v1-1">10.15479/AT:IST-2015-319-v1-1</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Faster Algorithms for Quantitative
    Verification in Constant Treewidth Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-02-10T00:00:00Z
date_updated: 2025-09-23T08:47:23Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-319-v1-1
file:
- access_level: open_access
  checksum: 62c6ea01e342553dcafb88a070fb1ad5
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:21Z
  date_updated: 2020-07-14T12:46:52Z
  file_id: '5482'
  file_name: IST-2015-319-v1+1_long.pdf
  file_size: 1089651
  relation: main_file
file_date_updated: 2020-07-14T12:46:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '31'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '319'
related_material:
  record:
  - id: '5437'
    relation: later_version
    status: public
  - id: '1607'
    relation: later_version
    status: public
status: public
title: Faster algorithms for quantitative verification in constant treewidth graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5431'
abstract:
- lang: eng
  text: "We consider finite-state concurrent stochastic games, played by k>=2 players
    for an infinite number of rounds, where in every round, each player simultaneously
    and independently of the other players chooses an action, whereafter the successor
    state is determined by a probability distribution given by the current state and
    the chosen actions. We consider reachability objectives that given a target set
    of states require that some state in the target set is visited, and the dual safety
    objectives that given a target set require that only states in the target set
    are visited. We are interested in the complexity of stationary strategies measured
    by their patience, which is defined as the inverse of the smallest non-zero probability
    employed.\r\n\r\n Our main results are as follows: We show that in two-player
    zero-sum concurrent stochastic games (with reachability objective for one player
    and the complementary safety objective for the other player): (i) the optimal
    bound on the patience of optimal and epsilon-optimal strategies, for both players
    is doubly exponential; and (ii) even in games with a single non-absorbing state
    exponential (in the number of actions) patience is necessary. In general we study
    the class of non-zero-sum games admitting epsilon-Nash equilibria. We show that
    if there is at least one player with reachability objective, then doubly-exponential
    patience is needed in general for epsilon-Nash equilibrium strategies, whereas
    in contrast if all players have safety objectives, then the optimal bound on patience
    for epsilon-Nash equilibrium strategies is only exponential."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Kristoffer
  full_name: Hansen, Kristoffer
  last_name: Hansen
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Hansen K. <i>The Patience of Concurrent Stochastic
    Games with Safety and Reachability Objectives</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-322-v1-1">10.15479/AT:IST-2015-322-v1-1</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Hansen, K. (2015). <i>The patience
    of concurrent stochastic games with safety and reachability objectives</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-322-v1-1">https://doi.org/10.15479/AT:IST-2015-322-v1-1</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Kristoffer Hansen. <i>The
    Patience of Concurrent Stochastic Games with Safety and Reachability Objectives</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-322-v1-1">https://doi.org/10.15479/AT:IST-2015-322-v1-1</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and K. Hansen, <i>The patience of concurrent
    stochastic games with safety and reachability objectives</i>. IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Hansen K. 2015. The patience of concurrent stochastic
    games with safety and reachability objectives, IST Austria, 25p.
  mla: Chatterjee, Krishnendu, et al. <i>The Patience of Concurrent Stochastic Games
    with Safety and Reachability Objectives</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-322-v1-1">10.15479/AT:IST-2015-322-v1-1</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, K. Hansen, The Patience of Concurrent Stochastic
    Games with Safety and Reachability Objectives, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2021-01-12T08:02:13Z
day: '19'
ddc:
- '005'
- '519'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-322-v1-1
file:
- access_level: open_access
  checksum: bfb858262c30445b8e472c40069178a2
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:31Z
  date_updated: 2020-07-14T12:46:53Z
  file_id: '5491'
  file_name: IST-2015-322-v1+1_safetygames.pdf
  file_size: 661015
  relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '25'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '322'
status: public
title: The patience of concurrent stochastic games with safety and reachability objectives
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5432'
abstract:
- lang: eng
  text: "Evolution occurs in populations of reproducing individuals. The structure
    of the population affects the outcome of the evolutionary process. Evolutionary
    graph theory is a powerful approach to study this phenomenon. There are two graphs.
    The interaction graph specifies who interacts with whom in the context of evolution.The
    replacement graph specifies who competes with whom for reproduction. \r\nThe vertices
    of the two graphs are the same, and each vertex corresponds to an individual of
    the population. A key quantity is the fixation probability of a new mutant. It
    is defined as the probability that a newly introduced mutant (on a single vertex)
    generates a lineage of offspring which eventually takes over the entire population
    of resident individuals. The basic computational questions are as follows: (i)
    the qualitative question asks whether the fixation probability is positive; and
    (ii) the quantitative approximation question asks for an approximation of the
    fixation probability. \r\nOur main results are:\r\n(1) We show that the qualitative
    question is NP-complete and the quantitative approximation question is #P-hard
    in the special case when the interaction and the replacement graphs coincide and
    even with the restriction that the resident individuals do not reproduce (which
    corresponds to an invading population taking over an empty structure).\r\n(2)
    We show that in general the qualitative question is PSPACE-complete and the quantitative
    approximation question is PSPACE-hard and can be solved in exponential time.\r\n"
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Nowak M. <i>The Complexity of Evolutionary Games
    on Graphs</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-323-v1-1">10.15479/AT:IST-2015-323-v1-1</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Nowak, M. (2015). <i>The complexity
    of evolutionary games on graphs</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2015-323-v1-1">https://doi.org/10.15479/AT:IST-2015-323-v1-1</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. <i>The Complexity
    of Evolutionary Games on Graphs</i>. IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-323-v1-1">https://doi.org/10.15479/AT:IST-2015-323-v1-1</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, <i>The complexity of evolutionary
    games on graphs</i>. IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Nowak M. 2015. The complexity of evolutionary
    games on graphs, IST Austria, 29p.
  mla: Chatterjee, Krishnendu, et al. <i>The Complexity of Evolutionary Games on Graphs</i>.
    IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-323-v1-1">10.15479/AT:IST-2015-323-v1-1</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, The Complexity of Evolutionary
    Games on Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:18Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2023-02-23T12:26:33Z
day: '19'
ddc:
- '005'
- '576'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-323-v1-1
file:
- access_level: open_access
  checksum: 546c1b291d545e7b24aaaf4199dac671
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:57Z
  date_updated: 2020-07-14T12:46:53Z
  file_id: '5519'
  file_name: IST-2015-323-v1+1_main.pdf
  file_size: 576347
  relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '29'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '323'
related_material:
  record:
  - id: '5421'
    relation: earlier_version
    status: public
  - id: '5440'
    relation: later_version
    status: public
status: public
title: The complexity of evolutionary games on graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
