Rational Verification for Probabilistic Systems

Julian Gutierrez, Lewis Hammond, Anthony W. Lin, Muhammad Najib, Michael Wooldridge

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Rational verification is the problem of determining which temporal logic properties will hold in a multi-agent system, under the assumption that agents in the system act rationally, by choosing strategies that collectively form a game-theoretic equilibrium. Previous work in this area has largely focussed on deterministic systems. In this paper, we develop the theory and algorithms for rational verification in probabilistic systems. We focus on concurrent stochastic games (CSGs), which can be used to model uncertainty and randomness in complex multi-agent environments. We study the rational verification problem for both non-cooperative games and cooperative games in the qualitative probabilistic setting. In the former case, we consider LTL properties satisfied by the Nash equilibria of the game and in the latter case LTL properties satisfied by the core. In both cases, we show that the problem is 2EXPTIME-complete, thus not harder than the much simpler verification problem of model checking LTL properties of systems modelled as Markov decision processes (MDPs).

Original languageEnglish
Title of host publicationProceedings of the 18th International Conference on Principles of Knowledge Representation and Reasoning
EditorsMeghyn Bienvenu, Gerhard Lakemeyer, Esra Erdem
PublisherIJCAI
Pages312-322
Number of pages11
ISBN (Electronic)9781956792997
Publication statusPublished - 2021
Event18th International Conference on Principles of Knowledge Representation and Reasoning 2021 - Virtual, Online
Duration: 3 Nov 202112 Nov 2021

Conference

Conference18th International Conference on Principles of Knowledge Representation and Reasoning 2021
Abbreviated titleKR 2021
CityVirtual, Online
Period3/11/2112/11/21

ASJC Scopus subject areas

  • Software
  • Logic

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