Two-Person Zero-Sum Stochastic Games with Semicontinuous Payoff

R. Laraki (), A. Maitra and W. Sudderth ()

Dynamic Games and Applications, 2013, vol. 3, issue 2, 162-171

Abstract: Consider a two-person, zero-sum stochastic game with Borel state space S, finite action sets A,B, and Borel measurable law of motion q. Suppose the payoff is a bounded function f of the infinite history of states and actions that is measurable for the product of the Borel σ-field for S and the σ-fields of all subsets for A and B, and is lower semicontinuous for the product of the discrete topologies on the coordinate spaces. Then the game has a value and player II has a subgame perfect optimal strategy. Copyright Springer Science+Business Media, LLC 2013

Keywords: Stochastic games; Subgame perfect; Borel sets (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s13235-012-0054-7

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