Iterated Expectations with Common Beliefs
نویسنده
چکیده
This paper generalizes a result by Samet concerning iterated expectations and common priors. When a player in some state of the world is allowed to ascribe probability zero to that state, something not allowed in Samet’s framework, iterated expectations may not converge, and when they do, common knowledge of their limit may not characterize a common prior. It is shown here that replacing common knowledge with common belief, convergence is still lost in general, but when it obtains, the full characterization is restored.
منابع مشابه
Iterated Expectations and Common Priors
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 iff 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 ...
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تاریخ انتشار 2001