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Agreeing to Disagree with Conditional Probability Systems

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  • Tsakas Elias

    (Department of Economics (AE1), Maastricht University, P.O. Box 616, 6200 MD, Maastricht, The Netherlands)

Abstract

In this note, we extend Aumann’s agreement theorem to a framework where beliefs are modelled by conditional probability systems à la Battigalli, P., and M. Siniscalchi. 1999. “Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games.” Journal of Economic Theory 88: 188–230. We prove two independent generalizations of the agreement theorem, one where the agents share some common conditioning event, and one where they may not.

Suggested Citation

  • Tsakas Elias, 2018. "Agreeing to Disagree with Conditional Probability Systems," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-7, July.
    • Handle: RePEc:bpj:bejtec:v:18:y:2018:i:2:p:7:n:13
    DOI: 10.1515/bejte-2016-0182
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    References listed on IDEAS

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    1. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
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    7. Bach, Christian W. & Perea, Andrés, 2013. "Agreeing to disagree with lexicographic prior beliefs," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 129-133.
    8. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
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