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Disentangling strict and weak choice in random expected utility models

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  • Piermont, Evan

Abstract

I examine the structure of random choice resulting from random expected utility maximization and a tie-breaking rule. I provide a partial identification result, characterizing the set of random expected utility models that could have generated the observed choice frequencies. I then consider a particular class of random choice rules for which it is possible to constructively identify the consistent random utility model that produces indifference the least. These random choice rules are characterized by breaking ties in favor of strict convex combinations. Towards proving these results, I introduce and axiomatize the notion of a choice capacity, representing the frequency of choice by strict maximization. Choice capacities, while not necessarily observable themselves, provide the technical machinery to translate arbitrary random expected utility models into choice behavior.

Suggested Citation

  • Piermont, Evan, 2022. "Disentangling strict and weak choice in random expected utility models," Journal of Economic Theory, Elsevier, vol. 202(C).
    • Handle: RePEc:eee:jetheo:v:202:y:2022:i:c:s0022053122000485
    DOI: 10.1016/j.jet.2022.105458
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    References listed on IDEAS

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    1. Mira Frick & Ryota Iijima & Tomasz Strzalecki, 2019. "Dynamic Random Utility," Econometrica, Econometric Society, vol. 87(6), pages 1941-2002, November.
    2. Jay Lu, 2016. "Random Choice and Private Information," Econometrica, Econometric Society, vol. 84, pages 1983-2027, November.
    3. David S. Ahn & Todd Sarver, 2013. "Preference for Flexibility and Random Choice," Econometrica, Econometric Society, vol. 81(1), pages 341-361, January.
    4. Jose Apesteguia & Miguel A. Ballester & Jay Lu, 2017. "Single‐Crossing Random Utility Models," Econometrica, Econometric Society, vol. 85, pages 661-674, March.
    5. Daniel McFadden, 2005. "Revealed stochastic preference: a synthesis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 245-264, August.
    6. Faruk Gul & Wolfgang Pesendorfer, 2006. "Random Expected Utility," Econometrica, Econometric Society, vol. 74(1), pages 121-146, January.
    7. Nishimura, Hiroki & Ok, Efe A., 2014. "Non-existence of continuous choice functions," Journal of Economic Theory, Elsevier, vol. 153(C), pages 376-391.
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    Cited by:

    1. Yang, Erya & Kopylov, Igor, 2023. "Random quasi-linear utility," Journal of Economic Theory, Elsevier, vol. 209(C).

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    More about this item

    Keywords

    Random choice; Random expected utility; Capacities; Tie-breaking;
    All these keywords.

    JEL classification:

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

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