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Choice theory when agents can randomize

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  • Stoye, Jörg

Abstract

This paper takes choice theory to risk or uncertainty. Well-known decision models are axiomatized under the premise that agents can randomize. Under a reversal of order assumption, this convexifies choice sets, and even after imposing the weak axiom of revealed preference and nonemptiness of choice correspondences, the preferences directly revealed by choice may be incomplete or cyclical.

Suggested Citation

  • Stoye, Jörg, 2015. "Choice theory when agents can randomize," Journal of Economic Theory, Elsevier, vol. 155(C), pages 131-151.
    • Handle: RePEc:eee:jetheo:v:155:y:2015:i:c:p:131-151
    DOI: 10.1016/j.jet.2014.11.011
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    References listed on IDEAS

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    Cited by:

    1. Georgios Gerasimou, 2018. "Indecisiveness, Undesirability and Overload Revealed Through Rational Choice Deferral," Economic Journal, Royal Economic Society, vol. 128(614), pages 2450-2479, September.
    2. Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2019. "Deliberately Stochastic," American Economic Review, American Economic Association, vol. 109(7), pages 2425-2445, July.
      • Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2012. "Deliberately Stochastic," PIER Working Paper Archive 17-013, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 25 May 2017.
    3. Joseph Halpern & Samantha Leung, 2015. "Weighted sets of probabilities and minimax weighted expected regret: a new approach for representing uncertainty and making decisions," Theory and Decision, Springer, vol. 79(3), pages 415-450, November.
    4. Georgios Gerasimou, 2021. "Towards Eliciting Weak or Incomplete Preferences in the Lab: A Model-Rich Approach," Papers 2111.14431, arXiv.org, revised Dec 2023.
    5. Kuzmics, Christoph, 2017. "Abraham Wald's complete class theorem and Knightian uncertainty," Games and Economic Behavior, Elsevier, vol. 104(C), pages 666-673.

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    More about this item

    Keywords

    Revealed preference; Choice functions; Completeness; Transitivity; Expected utility; Maxmin 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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