common knowledge and aumann’s agreement theorem


Wikipedia: 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. More specifically, if two people are genuine Bayesian rationalists with common priors, and if they each have common knowledge of their individual posteriors, then their posteriors must be equal.[1]

via Patric Hayes on Facebook

Hmmm .... ... so can we conclude that it is in everybody's best interest to agree whenever they can?


Tags

  1. agreement
  2. rationality

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