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Agreement theorem for neo-additive beliefs

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  • Adam Dominiak
  • Jean-Philippe Lefort

Abstract

In this paper, we extend Aumann’s (Ann Stat 4:1236–1239, 1976 ) probabilistic agreement theorem to situations in which agents’ prior beliefs are represented by a common neo-additive capacity. In particular, we characterize the family of updating rules for neo-additive capacities, which are necessary and sufficient for the impossibility of “agreeing to disagree” on the values of posterior capacities as well as on the values of posterior Choquet expectations for binary acts. Furthermore, we show that generalizations of this result to more general acts are impossible. Copyright Springer-Verlag 2013

Suggested Citation

  • Adam Dominiak & Jean-Philippe Lefort, 2013. "Agreement theorem for neo-additive beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 1-13, January.
    • Handle: RePEc:spr:joecth:v:52:y:2013:i:1:p:1-13
    DOI: 10.1007/s00199-011-0678-7
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    Citations

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    Cited by:

    1. Tarbush, Bassel, 2016. "Counterfactuals in “agreeing to disagree” type results," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 125-133.
    2. Craig Webb, 2015. "Piecewise additivity for non-expected utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 371-392, October.
    3. Zimper, Alexander, 2014. "On the impossibility of insider trade in rational expectations equilibria," The North American Journal of Economics and Finance, Elsevier, vol. 28(C), pages 109-118.
    4. Nicolas Lampach & Kene Boun My & Sandrine Spaeter, 2016. "Risk, Ambiguity and Efficient Liability Rules: An experiment," Working Papers of BETA 2016-30, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    5. Emy Lécuyer & Jean-Philippe Lefort, 2021. "Put–call parity and generalized neo-additive pricing rules," Theory and Decision, Springer, vol. 90(3), pages 521-542, May.
    6. Nicolas Lampach & Sandrine Spaeter, 2016. "The Efficiency of (strict) Liability Rules revised in Risk and Ambiguity," Working Papers of BETA 2016-29, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    7. Dominiak, Adam & Lefort, Jean-Philippe, 2015. "“Agreeing to disagree” type results under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 119-129.
    8. Craig S. Webb, 2017. "Piecewise linear rank-dependent utility," Theory and Decision, Springer, vol. 82(3), pages 403-414, March.

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    More about this item

    Keywords

    Ambiguity; Neo-additive capacities; Choquet expected utility; Asymmetric information; Common knowledge; Agreement theorem; D70; D81; D82;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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