We study the existence of correlated equilibrium payoff in stochastic games. The correlation devices that we use are either autonomous (they base their choice of signal on previous signals, but not on previous states or actions) or stationary (their choice is independent of any data, and is drawn according to the same probability distribution at every stage). We prove that any n-player stochastic game admits an autonomous correlated equilibrium payoff, and obtain a stronger result for recursive games. When the game is positive and recursive, a stationary correlated equilibrium payoff exists.
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number
1226.
Length: Date of creation: Sep 1998 Date of revision: Handle: RePEc:nwu:cmsems:1226
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Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2002.
"Stochastic Games with Imperfect Monitoring,"
Discussion Papers
1341, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
[Downloadable!]
Other versions:
Eilon Solan & Nicolas Vieille, 2002.
"Perturbed Markov Chains,"
Discussion Papers
1342, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
[Downloadable!]