---
_id: '5420'
abstract:
- lang: eng
text: 'We consider concurrent mean-payoff games, a very well-studied class of two-player
(player 1 vs player 2) zero-sum games on finite-state graphs where every transition
is assigned a reward between 0 and 1, and the payoff function is the long-run
average of the rewards. The value is the maximal expected payoff that player 1
can guarantee against all strategies of player 2. We consider the computation
of the set of states with value 1 under finite-memory strategies for player 1,
and our main results for the problem are as follows: (1) we present a polynomial-time
algorithm; (2) we show that whenever there is a finite-memory strategy, there
is a stationary strategy that does not need memory at all; and (3) we present
an optimal bound (which is double exponential) on the patience of stationary strategies
(where patience of a distribution is the inverse of the smallest positive probability
and represents a complexity measure of a stationary strategy).'
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
citation:
ama: Chatterjee K, Ibsen-Jensen R. The Value 1 Problem for Concurrent Mean-Payoff
Games. IST Austria; 2014. doi:10.15479/AT:IST-2014-191-v1-1
apa: Chatterjee, K., & Ibsen-Jensen, R. (2014). The value 1 problem for concurrent
mean-payoff games. IST Austria. https://doi.org/10.15479/AT:IST-2014-191-v1-1
chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Value 1 Problem
for Concurrent Mean-Payoff Games. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-191-v1-1.
ieee: K. Chatterjee and R. Ibsen-Jensen, The value 1 problem for concurrent mean-payoff
games. IST Austria, 2014.
ista: Chatterjee K, Ibsen-Jensen R. 2014. The value 1 problem for concurrent mean-payoff
games, IST Austria, 49p.
mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Value 1 Problem for
Concurrent Mean-Payoff Games. IST Austria, 2014, doi:10.15479/AT:IST-2014-191-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, The Value 1 Problem for Concurrent Mean-Payoff
Games, IST Austria, 2014.
date_created: 2018-12-12T11:39:14Z
date_published: 2014-04-14T00:00:00Z
date_updated: 2021-01-12T08:02:05Z
day: '14'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-191-v1-1
file:
- access_level: open_access
checksum: 49e0fd3e62650346daf7dc04604f7a0a
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:58Z
date_updated: 2020-07-14T12:46:50Z
file_id: '5520'
file_name: IST-2014-191-v1+1_main_full.pdf
file_size: 584368
relation: main_file
file_date_updated: 2020-07-14T12:46:50Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '49'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '191'
status: public
title: The value 1 problem for concurrent mean-payoff games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...