Common priors

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A precondition of Aumann's agreement theorem and its numerous generalizations is that the agents must have the same priors. Without common priors, the agents can disagree easily. The assumption of common priors can be justified by noting that it would be awfully strange if rational beliefs could depend on seemingly arbitrary starting features of the agent.

External References

Uncommon Priors Require Origin Disputes (PDF) by Robin Hanson