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Agreeing to disagree in a countable space of equiprobable states

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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.

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File URL: http://www.fep.up.pt/investigacao/workingpapers/08.01.16_wp260.pdf
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Bibliographic Info

Paper provided by Universidade do Porto, Faculdade de Economia do Porto in its series FEP Working Papers with number 260.

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Length: 16 pages
Date of creation: Jan 2008
Date of revision:
Handle: RePEc:por:fepwps:260

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Keywords: Agreeing to disagree; Interactive epistemology; Bounded rationality.;

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  1. Paul Milgrom & Nancy L.Stokey, 1979. "Information, Trade, and Common Knowledge," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 377R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Stinchcombe, Maxwell B, 1997. "Countably Additive Subjective Probabilities," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 64(1), pages 125-46, January.
  3. Heifetz, Aviad, 2006. "The positive foundation of the common prior assumption," Games and Economic Behavior, Elsevier, Elsevier, vol. 56(1), pages 105-120, July.
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