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The MaxMin value of stochastic games with imperfect monitoring

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Author Info
Dinah Rosenberg ()
Eilon Solan
Nicolas Vieille ()

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Abstract

We study finite zero-sum stochastic games in which players do not observe the actions of their opponent. Rather, at each stage, each player observes a stochastic signal that may depend on the current state and on the pair of actions chosen by the players. We assume that each player observes the state and his/her own action. We prove that the uniform max-min value always exists. Moreover, the uniform max-min value is independent of the information structure of player 2. Symmetric results hold for the uniform min-max value. Copyright Springer-Verlag 2003

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File URL: http://hdl.handle.net/10.1007/s001820300150
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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: 133-150
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Handle: RePEc:spr:jogath:v:32:y:2003:i:1:p:133-150

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Related research
Keywords: Stochastic games; Imperfect monitoring; Maxmin value; Minmax value;

Cited by:
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  1. Jean-Francois Mertens & Abraham Neyman & Dinah Rosenberg, 2007. "Absorbing Games with Compact Action Spaces," Levine's Bibliography 843644000000000178, UCLA Department of Economics. [Downloadable!]
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This page was last updated on 2009-12-22.

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