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Multi-player equilibria verification for concurrent stochastic games

Abstract:
Concurrent stochastic games (CSGs) are an ideal formalism for modelling probabilistic systems that feature multiple players or components with distinct objectives making concurrent, rational decisions. Examples include communication or security protocols and multi-robot navigation. Verification methods for CSGs exist but are limited to scenarios where agents or players are grouped into two coalitions, with those in the same coalition sharing an identical objective. In this paper, we propose multi-coalitional verification techniques for CSGs. We use subgame-perfect social welfare (or social cost) optimal Nash equilibria, which are strategies where there is no incentive for any coalition to unilaterally change its strategy in any game state, and where the total combined objectives are maximised (or minimised). We present an extension of the temporal logic rPATL (probabilistic alternating-time temporal logic with rewards) to specify equilibria-based properties for any number of distinct coalitions, and a corresponding model checking algorithm for a variant of stopping games. We implement our techniques in the PRISM-games tool and apply them to several case studies, including a secret sharing protocol and a public good game.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-030-59854-9_7
Publication website:
https://www.springer.com/gp/book/9783030598532

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Department:
COMPUTER SCIENCE
Sub department:
Computer Science
Role:
Author
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Institution:
University of Oxford
Division:
MPLS
Department:
Zoology
Role:
Author


Publisher:
Springer
Host title:
Quantitative Evaluation of Systems: 17th International Conference, QEST 2020, Vienna, Austria, August 31–September 3, 2020, Proceedings
Journal:
Proceedings of the 17th International Conference on Quantitative Evaluation of Systems More from this journal
Volume:
12289
Pages:
74-95
Series:
Theoretical Computer Science and General Issues
Publication date:
2020-11-03
Acceptance date:
2020-08-03
Event title:
17th International Conference on Quantitative Evaluation of SysTems (QEST 2020)
Event location:
Online
Event website:
http://www.qest.org/qest2020/
Event start date:
2020-08-31
Event end date:
2020-09-03
DOI:
ISSN:
0302-9743
EISBN:
978-3-030-59854-9
ISBN:
978-3-030-59853-2


Language:
English
Keywords:
Pubs id:
1123636
Local pid:
pubs:1123636
Deposit date:
2020-08-05

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