Agreeing to Disagree¶
Aumann, R. J. (1976). Agreeing to Disagree. Annals of Statistics, 4(6), 1236-1239.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Common Knowledge
- A fact p is common knowledge among a group when every member knows p, every member knows that every member knows p, every member knows that, and so on recursively to arbitrary depth.
This sourceGives the first formal definition of common knowledge and proves the agreement theorem, underwriting equilibrium and no-trade reasoning in game theory.
Supported in partVerified against the publisher's abstract
Aumann's abstract states the recursive definition of common knowledge for two people ('1 knows that 2 knows it ... and so on'); it does not state the arbitrary-group form the claim asserts.
“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.”
- A fact p is common knowledge among a group when every member knows p, every member knows that every member knows p, every member knows that, and so on recursively to arbitrary depth.
- Mutual knowledge
- Preference Heterogeneity and Conflict
- Disagreement about means (Which policy best achieves our shared goal?) is often resolvable through technical analysis and comparative effectiveness, a position Aumann (1976) formalizes in his agreement theorem for common-knowledge Bayesians.
Supported in partVerified against the publisher's abstract
The abstract states the agreement theorem (same priors plus common knowledge of posteriors force equal posteriors); it backs the attribution to Aumann, not the added claim that means-disagreement is often technically resolvable.
“THEOREM. If two people have the same priors, and their posteriors for an event $A$ are common knowledge, then these posteriors are equal.”
- Disagreement about means (Which policy best achieves our shared goal?) is often resolvable through technical analysis and comparative effectiveness, a position Aumann (1976) formalizes in his agreement theorem for common-knowledge Bayesians.
Verification¶
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