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Transitive regret over statistically independent lotteries

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  • Bikhchandani, Sushil
  • Segal, Uzi

Abstract

Preferences may arise from regret, i.e., from comparisons with alternatives forgone by the decision maker. When each outcome in a random variable is compared with the parallel outcome in an alternative random variable, regret preferences are transitive iff they are expected utility. In this paper we show that when the choice set consists of pairwise statistically independent lotteries and the regret associated with each outcome is with respect to the entire alternative distribution, then 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.

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  • Bikhchandani, Sushil & Segal, Uzi, 2014. "Transitive regret over statistically independent lotteries," Journal of Economic Theory, Elsevier, vol. 152(C), pages 237-248.
    • Handle: RePEc:eee:jetheo:v:152:y:2014:i:c:p:237-248
    DOI: 10.1016/j.jet.2014.05.001
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    References listed on IDEAS

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    Cited by:

    1. Qin, Jie, 2015. "A model of regret, investor behavior, and market turbulence," Journal of Economic Theory, Elsevier, vol. 160(C), pages 150-174.
    2. 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.
    3. 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.
    4. Michele Fioretti & Alexander Vostroknutov & Giorgio Coricelli, 2022. "Dynamic Regret Avoidance," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 70-93, February.
    5. Zhuzhu Zhou, 2024. "Ranking blame," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(2), pages 403-441, September.
    6. 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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