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Transitive Regret over Statistically Independent Lotteries

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  • Uzi Segal

    (Boston College)

Abstract

Preferences may arise from regret, i.e., from comparisons with alternatives forgone by the decision maker. We show that when the choice set consists of pairwise statistically independent lotteries, transitive regret-based behavior is consistent with betweenness preferences and with a family of preferences that is characterized by a consistency property. Examples of consistent preferences include CARA, CRRA, and anticipated utility.

Suggested Citation

  • Uzi Segal, 2012. "Transitive Regret over Statistically Independent Lotteries," Boston College Working Papers in Economics 796, Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:796
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    References listed on IDEAS

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    1. Chew, S H & Epstein, Larry G & Segal, U, 1991. "Mixture Symmetry and Quadratic Utility," Econometrica, Econometric Society, vol. 59(1), pages 139-163, January.
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    6. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    7. Fishburn, Peter C., 1983. "Transitive measurable utility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 293-317, December.
    8. Dekel, Eddie, 1986. "An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom," Journal of Economic Theory, Elsevier, vol. 40(2), pages 304-318, December.
    9. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
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    Citations

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    Cited by:

    1. Sushil Bikhchandani & Uzi Segal, 2021. "Intransitivity in the small and in the large," Journal of Risk and Uncertainty, Springer, vol. 63(3), pages 257-273, December.
    2. Michele Fioretti & Alexander Vostroknutov & Giorgio Coricelli, 2022. "Dynamic Regret Avoidance," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 70-93, February.
    3. Qin, Jie, 2015. "A model of regret, investor behavior, and market turbulence," Journal of Economic Theory, Elsevier, vol. 160(C), pages 150-174.
    4. Klimm, Felix & Kocher, Martin G. & Opitz, Timm & Schudy, Simeon, 2023. "Time pressure and regret in sequential search," Journal of Economic Behavior & Organization, Elsevier, vol. 206(C), pages 406-424.
    5. Michele Fioretti & Alexander Vostroknutov & Giorgio Coricelli, 2022. "Dynamic Regret Avoidance," SciencePo Working papers hal-03562318, HAL.

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    More about this item

    Keywords

    Regret; transitivity; non-expected utility;
    All these keywords.

    JEL classification:

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

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