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Agreeing to disagree in a countable space of equiprobable states

Author

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  • João Correia-da-Silva

    () (CEMPRE and Faculdade de Economia da Universidade do Porto, Portugal)

Abstract

An example is given in which agents agree to disagree, showing that Aumann's (1976) Agreement Theorem does not extend to a countable space of equiprobable states of nature. Even in this unorthodox setting, if the sets of the information partitions are intervals, an agreement theorem holds. A result that describes the margin for disagreement is also obtained.

Suggested Citation

  • João Correia-da-Silva, 2008. "Agreeing to disagree in a countable space of equiprobable states," FEP Working Papers 260, Universidade do Porto, Faculdade de Economia do Porto.
  • Handle: RePEc:por:fepwps:260
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    References listed on IDEAS

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    1. Maxwell B. Stinchcombe, 1997. "Countably Additive Subjective Probabilities," Review of Economic Studies, Oxford University Press, vol. 64(1), pages 125-146.
    2. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    3. Heifetz, Aviad, 2006. "The positive foundation of the common prior assumption," Games and Economic Behavior, Elsevier, vol. 56(1), pages 105-120, July.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Agreeing to disagree; Interactive epistemology; Bounded rationality.;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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