Aumann's Agreement Theorem

Applied to Dangers of deference by Noosphere89 3mo ago
Applied to Singletons Rule OK by Yoav Ravid 2y ago

Aumann's agreement theorem, roughly speaking, says that two agents acting rationally (in a certain precise sense) and with common knowledge of each other's beliefs cannot agree to disagree. More specifically, if two people are genuine Bayesians, share common priors,priors, and have common knowledge of each other's current probability assignments, then they must have equal probability assignments.

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Applied to The Error of Crowds by Kaj Sotala 3y ago