Aumann's agreement theorem, clarified: what persistent disagreement really implies

_onionesque · x · 2026-11-03

In a thread on whether rational agents can agree to disagree, onionesque clarifies the narrow scope of Aumann's theorem: if two Bayesian agents share a common prior and their posteriors are common knowledge, those posteriors must be equal — so persistent disagreement under common knowledge is evidence against the common prior, not a puzzle about asymmetric information.

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