2006 | OriginalPaper | Buchkapitel
Strategy Improvement and Randomized Subexponential Algorithms for Stochastic Parity Games
verfasst von : Krishnendu Chatterjee, Thomas A. Henzinger
Erschienen in: STACS 2006
Verlag: Springer Berlin Heidelberg
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A stochastic graph game is played by two players on a game graph with probabilistic transitions. We consider stochastic graph games with
ω
-regular winning conditions specified as parity objectives. These games lie in NP ∩ coNP. We present a strategy improvement algorithm for stochastic parity games; this is the first non-brute-force algorithm for solving these games. From the strategy improvement algorithm we obtain a randomized subexponential-time algorithm to solve such games.