Agreeing to Disagree

作者：Robert J. Aumann · 发表于：The Annals of Statistics · 年份：1976 · DOI：10.1214/aos/1176343654 · 被引用次数：2505 · 研究领域：Epistemology, Ethics, and Metaphysics、Economic Theory and Institutions、Game Theory and Applications

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.