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Aumann's agreement theorem

Index Aumann's agreement theorem

Aumann's agreement theorem says that two people acting rationally (in a certain precise sense) and with common knowledge of each other's beliefs cannot agree to disagree. [1]

10 relations: Agree to disagree, Bayesian probability, Common knowledge (logic), Joseph Halpern, Posterior probability, Prior probability, Rational choice theory, Robert Aumann, Robin Hanson, Scott Aaronson.

Agree to disagree

"Agree to disagree" or "agreeing to disagree" is a phrase in English referring to the resolution of a conflict (usually a debate or quarrel) whereby all parties tolerate but do not accept the opposing position(s).

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Bayesian probability

Bayesian probability is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief.

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Common knowledge (logic)

Common knowledge is a special kind of knowledge for a group of agents.

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Joseph Halpern

Joseph Yehuda Halpern (born 1953) is a professor of computer science at Cornell University.

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Posterior probability

In Bayesian statistics, the posterior probability of a random event or an uncertain proposition is the conditional probability that is assigned after the relevant evidence or background is taken into account.

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Prior probability

In Bayesian statistical inference, a prior probability distribution, often simply called the prior, of an uncertain quantity is the probability distribution that would express one's beliefs about this quantity before some evidence is taken into account.

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Rational choice theory

Rational choice theory, also known as choice theory or rational action theory, is a framework for understanding and often formally modeling social and economic behavior.

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Robert Aumann

Robert John Aumann (Hebrew name: ישראל אומן, Yisrael Aumann; born June 8, 1930) is an Israeli-American mathematician and a member of the United States National Academy of Sciences.

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Robin Hanson

Robin Dale Hanson (born August 28, 1959) is an associate professor of economics at George Mason University and a research associate at the Future of Humanity Institute of Oxford University.

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Scott Aaronson

Scott Joel Aaronson (born May 21, 1981) is an American theoretical computer scientist and David J. Bruton Jr.

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Redirects here:

Aumann agreement theorem, Aumann's Agreement Theorem.

References

[1] https://en.wikipedia.org/wiki/Aumann's_agreement_theorem

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