Difference between revisions of "Aumann's agreement theorem"
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Aumann's agreement theorem, informally stated, says that two people 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, and have common knowledge of each person's current probability assignments, then they must have equal probability assignments after becoming aware of any discrepencies.