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Random dual expected utility

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  • Wei Ma

    (Shandong University)

Abstract

This paper studies an individual’s random choice behavior when the objects of choice are random variables from a continuum of states of nature to a continuum of consequences. A decision problem is a nonempty finite set of random variables. A random choice rule specifies the choice distribution for each decision problem. We assume that each time an individual makes a choice from a decision problem, she conforms to dual expected utility theory. Since this theory is characterized by a probability distortion on the unit interval, the randomness in the individual’s choice behavior is due to the variation in her distortion. We first provide an axiomatic characterization for this random dual expected utility model, and then characterize comparative risk aversion within this model.

Suggested Citation

  • Wei Ma, 2023. "Random dual expected utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 293-315, February.
  • Handle: RePEc:spr:joecth:v:75:y:2023:i:2:d:10.1007_s00199-021-01401-5
    DOI: 10.1007/s00199-021-01401-5
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    References listed on IDEAS

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    1. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    2. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    3. Wei Ma, 2018. "Random expected utility theory with a continuum of prizes," Annals of Operations Research, Springer, vol. 271(2), pages 787-809, December.
    4. John D. Hey, 2018. "Does Repetition Improve Consistency?," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 2, pages 13-62, World Scientific Publishing Co. Pte. Ltd..
    5. Jay Lu, 2016. "Random Choice and Private Information," Econometrica, Econometric Society, vol. 84, pages 1983-2027, November.
    6. Jay Lu, 2019. "Bayesian Identification: A Theory for State-Dependent Utilities," American Economic Review, American Economic Association, vol. 109(9), pages 3192-3228, September.
    7. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    8. Yi-Hsuan Lin, 2020. "Random Non-Expected Utility: Non-Uniqueness," Papers 2009.04173, arXiv.org.
    9. Drew Fudenberg & Ryota Iijima & Tomasz Strzalecki, 2015. "Stochastic Choice and Revealed Perturbed Utility," Econometrica, Econometric Society, vol. 83, pages 2371-2409, November.
    10. Camerer, Colin F, 1989. "Does the Basketball Market Believe in the 'Hot Hand'?," American Economic Review, American Economic Association, vol. 79(5), pages 1257-1261, December.
    11. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    12. Wei Ma, 2017. "Perturbed Utility and General Equilibrium Analysis," Working Papers 201701, University of Pretoria, Department of Economics.
    13. Marina Agranov & Pietro Ortoleva, 2017. "Stochastic Choice and Preferences for Randomization," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 40-68.
    14. Machina, Mark J, 1985. "Stochastic Choice Functions Generated from Deterministic Preferences over Lotteries," Economic Journal, Royal Economic Society, vol. 95(379), pages 575-594, September.
    15. Ma, Wei, 2017. "Perturbed utility and general equilibrium analysis," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 122-131.
    16. Faruk Gul & Wolfgang Pesendorfer, 2014. "Expected Uncertain Utility Theory," Econometrica, Econometric Society, vol. 82(1), pages 1-39, January.
    17. 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.
    18. Wakker, Peter & Erev, Ido & Weber, Elke U, 1994. "Comonotonic Independence: The Critical Test between Classical and Rank-Dependent Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 9(3), pages 195-230, December.
    19. Clark, Stephen A, 1996. "The Random Utility Model with an Infinite Choice Space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 179-189, January.
    20. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    21. Faruk Gul & Wolfgang Pesendorfer, 2006. "Random Expected Utility," Econometrica, Econometric Society, vol. 74(1), pages 121-146, January.
    22. 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.
    23. Wei Ma, 2018. "Random Expected Utility Theory with a Continuum of Prizes," Working Papers 201854, University of Pretoria, Department of Economics.
    24. George Wu & Richard Gonzalez, 1996. "Curvature of the Probability Weighting Function," Management Science, INFORMS, vol. 42(12), pages 1676-1690, December.
    25. Wei Ma, 2017. "Perturbed Utility and General Equilibrium Analysis," Working Papers 654, Economic Research Southern Africa.
    26. 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.
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    More about this item

    Keywords

    Dual expected utility; Random utility; Stochastic choice; Risk aversion;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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