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Borel stay-in-a-set games

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Author Info
A. Maitra ()
W. Sudderth ()
Abstract

Consider an n-person stochastic game with Borel state space S, compact metric action sets A 1,A 2,…,A n , and law of motion q such that the integral under q of every bounded Borel measurable function depends measurably on the initial state x and continuously on the actions (a 1,a 2,…,a n ) of the players. If the payoff to each player i is 1 or 0 according to whether or not the stochastic process of states stays forever in a given Borel set G i , then there is an ε-equilibrium for every ε>0. Copyright Springer-Verlag 2003

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File URL: http://hdl.handle.net/10.1007/s001820300148
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Publisher Info
Article provided by Springer in its journal International Journal of Games Theory.

Volume (Year): 32 (2003)
Issue (Month): 1 (December)
Pages: 97-108
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Handle: RePEc:spr:jogath:v:32:y:2003:i:1:p:97-108

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Related research
Keywords: N-person stochastic games; Nash equilibrium; Borel sets;

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