Reachability for Branching Concurrent Stochastic Games (Track B: Automata, Logic, Semantics, and Theory of Programming)

Authors Kousha Etessami, Emanuel Martinov, Alistair Stewart, Mihalis Yannakakis



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Kousha Etessami
  • School of Informatics, University of Edinburgh, UK
Emanuel Martinov
  • School of Informatics, University of Edinburgh, UK
Alistair Stewart
  • Department of Computer Science, University of Southern California, Los Angeles, CA, USA
Mihalis Yannakakis
  • Department of Computer Science, Columbia University, New York City, NY, USA

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Kousha Etessami, Emanuel Martinov, Alistair Stewart, and Mihalis Yannakakis. Reachability for Branching Concurrent Stochastic Games (Track B: Automata, Logic, Semantics, and Theory of Programming). In 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 132, pp. 115:1-115:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019) https://doi.org/10.4230/LIPIcs.ICALP.2019.115

Abstract

We give polynomial time algorithms for deciding almost-sure and limit-sure reachability in Branching Concurrent Stochastic Games (BCSGs). These are a class of infinite-state imperfect-information stochastic games that generalize both finite-state concurrent stochastic reachability games ([L. de Alfaro et al., 2007]) and branching simple stochastic reachability games ([K. Etessami et al., 2018]).

Subject Classification

ACM Subject Classification
  • Theory of computation → Design and analysis of algorithms
Keywords
  • stochastic games
  • multi-type branching processes
  • concurrent games
  • minimax-polynomial equations
  • reachability
  • almost-sure
  • limit-sure

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