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Erschienen in:
2009 | OriginalPaper | Buchkapitel
The Complexity of Solving Stochastic Games on Graphs
verfasst von : Daniel Andersson, Peter Bro Miltersen
Erschienen in: Algorithms and Computation
Verlag: Springer Berlin Heidelberg
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We consider some well-known families of two-player zero-sum perfect-information stochastic games played on finite directed graphs. The families include stochastic parity games, stochastic mean payoff games, and simple stochastic games. We show that the tasks of solving games in each of these classes (quantitiatively or strategically) are all polynomial time equivalent. In addition, we exhibit a linear time algorithm that given a simple stochastic game
and
the values of all positions of that game, computes a pair of optimal strategies.