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An Explicit Representation for Disappointment Aversion and Other Betweenness Preferences

Author

Listed:
  • Simone Cerreia-Vioglio

    (Department of Decision Sciences, Bocconi University)

  • David Dillenberger

    (Department of Economics, University of Pennsylvania)

  • Pietro Ortoleva

    (Department of Economics, Princeton University)

Abstract

One of the most well-known models of non-expected utility is Gul (1991)’s model of Disappointment Aversion. This model, however, is defined implicitly, as the solution to a functional equation; its explicit utility representation is unknown, which may limit its applicability. We show that an explicit representation can be easily constructed, using solely the components of the implicit one. We also provide a more general result: an explicit representation for preferences in the Betweenness class that also satisfy Negative Certainty Independence (Dillenberger, 2010).

Suggested Citation

  • Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva, 2018. "An Explicit Representation for Disappointment Aversion and Other Betweenness Preferences," PIER Working Paper Archive 18-019, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Sep 2018.
    • Handle: RePEc:pen:papers:18-019
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    References listed on IDEAS

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    1. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
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    16. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2017. "Stochastic Dominance Analysis Without the Independence Axiom," Management Science, INFORMS, vol. 63(4), pages 1097-1109, April.
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    3. Evren, Özgür, 2019. "Recursive non-expected utility: Connecting ambiguity attitudes to risk preferences and the level of ambiguity," Games and Economic Behavior, Elsevier, vol. 114(C), pages 285-307.
    4. Uri Gneezy & Yoram Halevy & Brian Hall & Theo Offerman & Jeroen van de Ven, 2024. "How Real is Hypothetical? A High-Stakes Test of the Allais Paradox," Working Papers tecipa-783, University of Toronto, Department of Economics.
    5. Alex Gershkov & Benny Moldovanu & Philipp Strack & Mengxi Zhang, 2023. "Optimal Insurance: Dual Utility, Random Losses, and Adverse Selection," American Economic Review, American Economic Association, vol. 113(10), pages 2581-2614, October.
    6. Alex Gershkov & Benny Moldovanu & Philipp Strack & Mengxi Zhang, 2023. "Optimal Insurance: Dual Utility, Random Losses and Adverse Selection," ECONtribute Discussion Papers Series 242, University of Bonn and University of Cologne, Germany.
    7. Fernando Payró Chew, 2022. "Mixture-Dependent Preference for Commitment," Working Papers 1365, Barcelona School of Economics.

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    More about this item

    Keywords

    Betweenness; Cautious Expected Utility; Disappointment Aversion; Utility representation;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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