Agreeing to disagree
The Annals of Statistics, vol. 4, no. 6, 1976, pp. 1236–1239
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.
