---
_id: '6006'
abstract:
- lang: eng
text: 'Network games (NGs) are played on directed graphs and are extensively used
in network design and analysis. Search problems for NGs include finding special
strategy profiles such as a Nash equilibrium and a globally-optimal solution.
The networks modeled by NGs may be huge. In formal verification, abstraction has
proven to be an extremely effective technique for reasoning about systems with
big and even infinite state spaces. We describe an abstraction-refinement methodology
for reasoning about NGs. Our methodology is based on an abstraction function that
maps the state space of an NG to a much smaller state space. We search for a global
optimum and a Nash equilibrium by reasoning on an under- and an over-approximation
defined on top of this smaller state space. When the approximations are too coarse
to find such profiles, we refine the abstraction function. We extend the abstraction-refinement
methodology to labeled networks, where the objectives of the players are regular
languages. Our experimental results demonstrate the effectiveness of the methodology. '
article_number: '39'
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Shibashis
full_name: Guha, Shibashis
last_name: Guha
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: Avni G, Guha S, Kupferman O. An abstraction-refinement methodology for reasoning
about network games. Games. 2018;9(3). doi:10.3390/g9030039
apa: Avni, G., Guha, S., & Kupferman, O. (2018). An abstraction-refinement methodology
for reasoning about network games. Games. MDPI AG. https://doi.org/10.3390/g9030039
chicago: Avni, Guy, Shibashis Guha, and Orna Kupferman. “An Abstraction-Refinement
Methodology for Reasoning about Network Games.” Games. MDPI AG, 2018. https://doi.org/10.3390/g9030039.
ieee: G. Avni, S. Guha, and O. Kupferman, “An abstraction-refinement methodology
for reasoning about network games,” Games, vol. 9, no. 3. MDPI AG, 2018.
ista: Avni G, Guha S, Kupferman O. 2018. An abstraction-refinement methodology for
reasoning about network games. Games. 9(3), 39.
mla: Avni, Guy, et al. “An Abstraction-Refinement Methodology for Reasoning about
Network Games.” Games, vol. 9, no. 3, 39, MDPI AG, 2018, doi:10.3390/g9030039.
short: G. Avni, S. Guha, O. Kupferman, Games 9 (2018).
date_created: 2019-02-14T14:17:54Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2023-09-22T09:48:59Z
day: '01'
ddc:
- '004'
department:
- _id: ToHe
doi: 10.3390/g9030039
file:
- access_level: open_access
checksum: 749d65ca4ce74256a029d9644a1b1cb0
content_type: application/pdf
creator: kschuh
date_created: 2019-02-14T14:20:31Z
date_updated: 2020-07-14T12:47:16Z
file_id: '6008'
file_name: 2018_MDPI_Avni.pdf
file_size: 505155
relation: main_file
file_date_updated: 2020-07-14T12:47:16Z
has_accepted_license: '1'
intvolume: ' 9'
issue: '3'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 264B3912-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02369
name: Formal Methods meets Algorithmic Game Theory
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: Games
publication_identifier:
issn:
- 2073-4336
publication_status: published
publisher: MDPI AG
quality_controlled: '1'
related_material:
record:
- id: '1003'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: An abstraction-refinement methodology for reasoning about network games
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: 9
year: '2018'
...