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

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 نشر من قبل Hugo Gimbert
 تاريخ النشر 2016
  مجال البحث الهندسة المعلوماتية
والبحث باللغة English
 تأليف Hugo Gimbert




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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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