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AUSI expected utility: An anticipated utility theory of relative disappointment aversion

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  • Grant, Simon
  • Kajii, Atsushi

Abstract

In recent years there has been a growing theoretical, experimental and empirical challenge to Expected Utility Theory, the overwhelmingly dominant paradigm for modeling decision-making under risk. However, there has been relatively little work done in providing easily parameterized alternatives for applied work. In this paper we provide an axiomatization for a representation of preferences over lotteries that is only one parameter richer than expected utility. Our model is a special case of Quiggin's Rank Dependent Expected Utility. Moreover, we show that the same restriction on this parameter is required for: risk aversion; intuitive comparative static results for a reasonably general class of economically interesting choice problems; and accommodating some of the most well-known violations of Expected Utility Theory.
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  • Grant, Simon & Kajii, Atsushi, 1998. "AUSI expected utility: An anticipated utility theory of relative disappointment aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 37(3), pages 277-290, November.
  • Handle: RePEc:eee:jeborg:v:37:y:1998:i:3:p:277-290
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    1. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-377, March.
    2. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    3. Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, vol. 8(3), pages 337-360, July.
    4. 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.
    5. Wu, George, 1994. "An Empirical Test of Ordinal Independence," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 39-60, July.
    6. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
    7. Luce, R. Duncan, 1991. "Rank- and sign-dependent linear utility models for binary gambles," Journal of Economic Theory, Elsevier, vol. 53(1), pages 75-100, February.
    8. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    9. Segal, Uzi, 1987. "Some remarks on Quiggin's anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 8(1), pages 145-154, March.
    10. Segal, Uzi, 1993. "The Measure Representation: A Correction," Journal of Risk and Uncertainty, Springer, vol. 6(1), pages 99-107, January.
    11. Loomes, Graham, 1991. "Evidence of a New Violation of the Independence Axiom," Journal of Risk and Uncertainty, Springer, vol. 4(1), pages 91-108, January.
    12. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    13. 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..
    14. Karni, Edi & Safra, Zvi, 1987. ""Preference Reversal' and the Observability of Preferences by Experimental Methods," Econometrica, Econometric Society, vol. 55(3), pages 675-685, May.
    15. Rubinstein, Ariel, 1988. "Similarity and decision-making under risk (is there a utility theory resolution to the Allais paradox?)," Journal of Economic Theory, Elsevier, vol. 46(1), pages 145-153, October.
    16. Wakker, Peter, 1993. "Counterexamples to Segal's Measure Representation Theorem," Journal of Risk and Uncertainty, Springer, vol. 6(1), pages 91-98, January.
    17. 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..
    18. Hong Chew Soo & Epstein Larry G. & Wakker Peter, 1993. "A Unifying Approach to Axiomatic Non-expected Utility Theories: Correction and Comment," Journal of Economic Theory, Elsevier, vol. 59(1), pages 183-188, February.
    19. Puppe, Clemens, 1990. "Preference functionals with prize-dependent distortion of probabilities," Economics Letters, Elsevier, vol. 33(2), pages 127-131, June.
    20. Chris Starmer, 1992. "Testing New Theories of Choice under Uncertainty using the Common Consequence Effect," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 813-830.
    21. Camerer, Colin F, 1989. "An Experimental Test of Several Generalized Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 2(1), pages 61-104, April.
    22. Chew, S. H. & Epstein, L. G., 1989. "A unifying approach to axiomatic non-expected utility theories," Journal of Economic Theory, Elsevier, vol. 49(2), pages 207-240, December.
    23. Luce, R Duncan & Fishburn, Peter C, 1991. "Rank- and Sign-Dependent Linear Utility Models for Finite First-Order Gambles," Journal of Risk and Uncertainty, Springer, vol. 4(1), pages 29-59, January.
    24. repec:bla:econom:v:58:y:1991:i:229:p:1-16 is not listed on IDEAS
    25. Feder, Gershon, 1977. "The impact of uncertainty in a class of objective functions," Journal of Economic Theory, Elsevier, vol. 16(2), pages 504-512, December.
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    Cited by:

    1. Freeman, David, 2015. "Calibration without reduction for non-expected utility," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 21-32.
    2. repec:cup:judgdm:v:16:y:2021:i:6:p:1324-1369 is not listed on IDEAS
    3. Thierry Chauveau, 2016. "Stochastic dominance, risk and disappointment: a synthesis," Post-Print halshs-01025102, HAL.
    4. Grant, Simon & Kajii, Atsushi & Polak, Ben, 2001. "Different notions of disappointment aversion," Economics Letters, Elsevier, vol. 70(2), pages 203-208, February.
    5. Kfir Eliaz & Debraj Ray & Ronny Razin, 2006. "Choice Shifts in Groups: A Decision-Theoretic Basis," American Economic Review, American Economic Association, vol. 96(4), pages 1321-1332, September.
    6. Meng, Jingyi & Webb, Craig S. & Zank, Horst, 2024. "Mixture independence foundations for expected utility," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    7. Thierry Chauveau, 2012. "Subjective risk and disappointment," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00747902, HAL.
    8. Thierry Chauveau, 2014. "Stochastic dominance, risk and disappointment: a synthesis," Documents de travail du Centre d'Economie de la Sorbonne 14054rr, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jan 2016.
    9. Ryan, Matthew J., 2006. "Risk aversion in RDEU," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 675-697, September.
    10. Sudeep Bhatia & Graham Loomes & Daniel Read, 2021. "Establishing the laws of preferential choice behavior," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 16(6), pages 1324-1369, November.
    11. Lindsey, Robin, 2011. "State-dependent congestion pricing with reference-dependent preferences," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1501-1526.
    12. Abdellaoui, Mohammed & Bleichrodt, Han, 2007. "Eliciting Gul's theory of disappointment aversion by the tradeoff method," Journal of Economic Psychology, Elsevier, vol. 28(6), pages 631-645, December.
    13. Jamie Alcock & Petra Andrlikova, 2018. "Asymmetric Dependence in Real Estate Investment Trusts: An Asset-Pricing Analysis," The Journal of Real Estate Finance and Economics, Springer, vol. 56(2), pages 183-216, February.
    14. Thierry Chauveau & Nicolas Nalpas, 2011. "Disappointment Models: an axiomatic approach," Post-Print halshs-00560543, HAL.
    15. Daniel R. Burghart, 2020. "The two faces of independence: betweenness and homotheticity," Theory and Decision, Springer, vol. 88(4), pages 567-593, May.
    16. Kfir Eliaz & Debraj Ray, 2004. "Choice Shifts in Groups," Econometric Society 2004 North American Summer Meetings 205, Econometric Society.
    17. Thierry Chauveau, 2014. "Stochastic dominance, risk and disappointment: a synthesis," Documents de travail du Centre d'Economie de la Sorbonne 14054r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jul 2015.
    18. Thierry Chauveau, 2012. "Subjective risk and disappointment," Documents de travail du Centre d'Economie de la Sorbonne 12063, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    19. Carlos Laciana & Elke Weber, 2008. "Correcting expected utility for comparisons between alternative outcomes: A unified parameterization of regret and disappointment," Journal of Risk and Uncertainty, Springer, vol. 36(1), pages 1-17, February.
    20. Ormiston, Michael B. & E. Schlee, Edward, 1999. "Comparative statics tests between decision models under risk," Journal of Mathematical Economics, Elsevier, vol. 32(2), pages 145-166, October.

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