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Iterated Expectations and Common Priors

Dov Samet

出版	SSRN, 2001
URL	http://books.google.com.hk/books?id=M9vizwEACAAJ&hl=&source=gbs_api

註釋

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 for each random variable it is common knowledge that all its iterated expectations converge to the same value; this value is its expectation with respect to the common prior. The proof is based on the presentation of type functions as Markov matrices.