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Observing Different Orders of Risk Aversion

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  • Graham Loomes
  • Uzi Segal

Abstract

A decision maker's attitude towards risk is said to be of order (i), (i) = 1, 2, if for every given risk (e) with expected value zero, the risk premium the decision maker is willing to pay to avoid the risk (te) goes with (t) to zero at the same order as t[superscript i]. This article presents an experiment testing the order of decision makers' attitudes toward risk. Its major result is that both attitudes exist, each in significant proportions. Moreover, two classes of first-order behavior are defined. The rank-dependent model (Quiggin, 1982) belongs to one, the disappointment aversion model (Gul, 1991) to the other. We show that only the first of these two classes appears among our subjects. Copyright 1994 by Kluwer Academic Publishers
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Suggested Citation

  • Graham Loomes & Uzi Segal, "undated". "Observing Different Orders of Risk Aversion," Discussion Papers 92/5, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:92/5
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    Cited by:

    1. Safra, Zvi & Segal, Uzi, 2002. "On the Economic Meaning of Machina's Frechet Differentiability Assumption," Journal of Economic Theory, Elsevier, vol. 104(2), pages 450-461, June.
    2. Adrian Bruhin & Maha Manai & Luís Santos-Pinto, 2022. "Risk and rationality: The relative importance of probability weighting and choice set dependence," Journal of Risk and Uncertainty, Springer, vol. 65(2), pages 139-184, October.
    3. Dionne, Georges & Li, Jingyuan, 2014. "When can expected utility handle first-order risk aversion?," Journal of Economic Theory, Elsevier, vol. 154(C), pages 403-422.
    4. Palacios-Huerta, Ignacio & Serrano, Roberto, 2006. "Rejecting small gambles under expected utility," Economics Letters, Elsevier, vol. 91(2), pages 250-259, May.
    5. Machina, Mark J, 2001. "Payoff Kinks in Preferences over Lotteries," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 207-260, November.
    6. Chris Snijders & Werner Raub, 1998. "Revolution And Risk," Rationality and Society, , vol. 10(4), pages 405-425, November.
    7. Matthew Rabin & Richard H. Thaler, 2013. "Anomalies: Risk aversion," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 27, pages 467-480, World Scientific Publishing Co. Pte. Ltd..
    8. Guo, Xu & Li, Jingyuan, 2016. "Confidence band for expectation dependence with applications," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 141-149.
    9. Epper, Thomas & Fehr-Duda, Helga, 2017. "A Tale of Two Tails: On the Coexistence of Overweighting and Underweighting of Rare Extreme Events," Economics Working Paper Series 1705, University of St. Gallen, School of Economics and Political Science.
    10. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    11. Rabin, Matthew, 2000. "Diminishing Marginal Utility of Wealth Cannot Explain Risk Aversion," Department of Economics, Working Paper Series qt61d7b4pg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    12. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    13. Livio Stracca, 2002. "Behavioural Finance and Aggregate Market Behaviour: Where do we Stand?," Discussion Papers in Economics 02/10, Division of Economics, School of Business, University of Leicester.
    14. 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.
    15. Helga Fehr-Duda & Thomas Epper, 2012. "Probability and Risk: Foundations and Economic Implications of Probability-Dependent Risk Preferences," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 567-593, July.
    16. F. McElroy, 2007. "“Probability of risk aversion” and other applications of derivatives of the certainty equivalent," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 54(4), pages 429-444, December.
    17. Ang, Andrew & Bekaert, Geert & Liu, Jun, 2005. "Why stocks may disappoint," Journal of Financial Economics, Elsevier, vol. 76(3), pages 471-508, June.
    18. Han Bleichrodt & Simon Grant & Jingni Yang, 2023. "Testing Hurwicz Expected Utility," Econometrica, Econometric Society, vol. 91(4), pages 1393-1416, July.

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