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An Explicit Representation for Disappointment Aversion and Other Betweenness Preferences

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  • Simone Cerreia-Vioglio
  • David Dillenberger
  • Pietro Ortoleva

Abstract

One of the most well-known models of non-expected utility is Gul (1991)’s bmodel 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). JEL: D80, D81 KEYWORDS: Betweenness, Cautious Expected Utility, Disappointment Aversion, Utility representation.

Suggested Citation

  • Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva, 2018. "An Explicit Representation for Disappointment Aversion and Other Betweenness Preferences," Working Papers 631, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    • Handle: RePEc:igi:igierp:631
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    References listed on IDEAS

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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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    Cited by:

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    2. 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.
    3. 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.
    4. Sendhil Mullainathan & Ashesh Rambachan, 2024. "From Predictive Algorithms to Automatic Generation of Anomalies," NBER Working Papers 32422, National Bureau of Economic Research, Inc.
    5. Fernando Payró Chew, 2022. "Mixture-Dependent Preference for Commitment," Working Papers 1365, Barcelona School of Economics.
    6. Meng, Jingyi & Webb, Craig S. & Zank, Horst, 2024. "Mixture independence foundations for expected utility," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    7. 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.

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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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