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Agreeing to Disagree

by: Robert J. Aumann
The Annals of Statistics, Vol. 4, No. 6. (1976), pp. 1236-1239.

X Abstract

Two people, 1 and 2, are said to have common knowledge of an event E if both know it, 1 knows that 2 knows it, 2 knows that 1 knows is, 1 knows that 2 knows that 1 knows it, and so on. THEOREM. If two people have the same priors, and their posteriors for an event A are common knowledge, then these posteriors are equal.

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