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oai:drops-oai.dagstuhl.de:19689 2024-03-06T11:04:39Z ddc:004 open_access

Concurrent Stochastic Lossy Channel Games Stan, Daniel Najib, Muhammad Lin, Anthony Widjaja Abdulla, Parosh Aziz concurrent games stochastic lossy channels wqo finite attractor property cooperative core Nash equilibrium Concurrent stochastic games are an important formalism for the rational verification of probabilistic multi-agent systems, which involves verifying whether a temporal logic property is satisfied in some or all game-theoretic equilibria of such systems. In this work, we study the rational verification of probabilistic multi-agent systems where agents can cooperate by communicating over unbounded lossy channels. To model such systems, we present concurrent stochastic lossy channel games (CSLCG) and employ an equilibrium concept from cooperative game theory known as the core, which is the most fundamental and widely studied cooperative equilibrium concept. Our main contribution is twofold. First, we show that the rational verification problem is undecidable for systems whose agents have almost-sure LTL objectives. Second, we provide a decidable fragment of such a class of objectives that subsumes almost-sure reachability and safety. Our techniques involve reductions to solving infinite-state zero-sum games with conjunctions of qualitative objectives. To the best of our knowledge, our result represents the first decidability result on the rational verification of stochastic multi-agent systems on infinite arenas. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Daniel Stan and Muhammad Najib and Anthony Widjaja Lin and Parosh Aziz Abdulla 2024 Is Part Of LIPIcs, Volume 288, 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CSL.2024.46 urn:nbn:de:0030-drops-196894 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.46 eng https://creativecommons.org/licenses/by/4.0/legalcode