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arXiv · 1611.08487

Pure and Stationary Optimal Strategies in Perfect-Information Stochastic Games with Global Preferences

Hugo Gimbert·Wieslaw Zielonka
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Abstract

We examine the problem of the existence of optimal deterministic stationary strategiesintwo-players antagonistic (zero-sum) perfect information stochastic games with finitely many states and actions.We show that the existenceof such strategies follows from the existence of optimal deterministic stationarystrategies for some derived one-player games.Thus we reducethe problem from two-player to one-player games (Markov decisionproblems), where usually it is much easier to tackle.The reduction is very general, it holds not only for all possible payoff mappings but alsoin more a general situations whereplayers' preferences are not expressed by payoffs.

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Hugo Gimbert, Wieslaw Zielonka. 2016-11-25. Pure and Stationary Optimal Strategies in Perfect-Information Stochastic Games with Global Preferences. https://arxiv.org/abs/1611.08487

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