Hellman, Ziv (2007): Iterated Expectations, Compact Spaces and Common Priors.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Iterated Expectations, Compact Spaces and Common Priors|
|Keywords:||common priors; Markov chains; type spaces; iterated expectations|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C70 - General
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D82 - Asymmetric and Private Information ; Mechanism Design
|Depositing User:||Ziv Hellman|
|Date Deposited:||13. May 2008 05:03|
|Last Modified:||12. Mar 2015 17:53|
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Iterated Expectations, Compact Spaces and Common Priors. (deposited 03. Jul 2007)
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