Iterated expectations, compact spaces, and common priors

Ziv Hellman ()

Games and Economic Behavior, 2011, vol. 72, issue 1, 163-171

Abstract: Extending to infinite state spaces that are compact metric spaces a result previously attained by D. Samet solely in the context of finite state spaces, a necessary and sufficient condition for the existence of a common prior for several players is given in terms of the players' present beliefs only. A common prior exists if and only if for each random variable it is common knowledge that all Cesàro means of iterated expectations with respect to any permutation converge to the same value; this value is its expectation with respect to the common prior. It is further shown that compactness is a necessary condition for some of the results.

Keywords: Common; priors; Iterated; expectations (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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Related works:
Working Paper: Iterated Expectations, Compact Spaces, and Common Priors (2009)
Working Paper: Iterated Expectations, Compact Spaces and Common Priors (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:72:y:2011:i:1:p:163-171

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