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Convexity in the Theory of Choice under Risk

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  • Menahem E. Yaari

Abstract

I. Summary, 278. — II. Introduction, 279. — III. Acceptance sets, 282. — IV. Some experimental evidence, 284. — V. Subjective probabilities, 288.

Suggested Citation

  • Menahem E. Yaari, 1965. "Convexity in the Theory of Choice under Risk," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 79(2), pages 278-290.
    • Handle: RePEc:oup:qjecon:v:79:y:1965:i:2:p:278-290.
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    Citations

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    Cited by:

    1. Diecidue, Enrico & Wakker, Peter P, 2001. "On the Intuition of Rank-Dependent Utility," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 281-298, November.
    2. Machina, Mark J, 2001. "Payoff Kinks in Preferences over Lotteries," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 207-260, November.
    3. Leighton Vaughan Williams & Ming‐Chien Sung & Peter A. F. Fraser‐Mackenzie & John Peirson & Johnnie E. V. Johnson, 2018. "Towards an Understanding of the Origins of the Favourite–Longshot Bias: Evidence from Online Poker Markets, a Real‐money Natural Laboratory," Economica, London School of Economics and Political Science, vol. 85(338), pages 360-382, April.
    4. Lisa L. Posey & Vickie Bajtelsmit, 2017. "Insurance and Endogenous Bankruptcy Risk: When is it Rational to Choose Gambling, Insurance, and Potential Bankruptcy?," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(1), pages 15-40, March.
    5. Louis R. Eeckhoudt & Roger J. A. Laeven, 2021. "Probability Premium and Attitude Towards Probability," Papers 2105.00054, arXiv.org.
    6. Levy, Haim & Levy, Moshe, 2002. "Arrow-Pratt Risk Aversion, Risk Premium and Decision Weights," Journal of Risk and Uncertainty, Springer, vol. 25(3), pages 265-290, November.
    7. Jakusch, Sven Thorsten, 2017. "On the applicability of maximum likelihood methods: From experimental to financial data," SAFE Working Paper Series 148, Leibniz Institute for Financial Research SAFE, revised 2017.
    8. Yaron Azrieli & Christopher P. Chambers & Paul J. Healy, 2018. "Incentives in Experiments: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1472-1503.
    9. Wakker, Peter P. & Yang, Jingni, 2019. "A powerful tool for analyzing concave/convex utility and weighting functions," Journal of Economic Theory, Elsevier, vol. 181(C), pages 143-159.
    10. Vesna Prasnikar, 1993. "Binary Lottery Payoffs: Do They Control Risk Aversion?," Discussion Papers 1059, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Charles-Cadogan, G., 2016. "Expected utility theory and inner and outer measures of loss aversion," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 10-20.
    12. Coelho, Philip R. P. & McClure, James E., 1998. "Social context and the utility of wealth: Addressing the Markowitz challenge," Journal of Economic Behavior & Organization, Elsevier, vol. 37(3), pages 305-314, November.
    13. Alexis DIRER, 2010. "Equilibrium Lottery Games and Preferences Under Risk," LEO Working Papers / DR LEO 550, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    14. Laudagé, Christian & Sass, Jörn & Wenzel, Jörg, 2022. "Combining multi-asset and intrinsic risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 106(C), pages 254-269.
    15. Dorte Gyrd‐Hansen & Ivar Sønbø Kristiansen, 2008. "Preferences for ‘life‐saving’ programmes: Small for all or gambling for the prize?," Health Economics, John Wiley & Sons, Ltd., vol. 17(6), pages 709-720, June.
    16. Guido Baltussen & G. Post & Martijn Assem & Peter Wakker, 2012. "Random incentive systems in a dynamic choice experiment," Experimental Economics, Springer;Economic Science Association, vol. 15(3), pages 418-443, September.
    17. Gregory G. Brunk, 1981. "A Test of the Friedman-Savage Gambling Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 96(2), pages 341-348.
    18. Lisa L. Posey & Vickie Bajtelsmit, 2017. "Insurance and Endogenous Bankruptcy Risk: When is it Rational to Choose Gambling, Insurance, and Potential Bankruptcy?," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(1), pages 15-40, March.
    19. Gregory Brunk, 1980. "The impact of rational participation models on voting attitudes," Public Choice, Springer, vol. 35(5), pages 549-564, January.
    20. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
    21. Horst Zank, 2007. "Social welfare functions with a reference income," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 609-636, June.
    22. Brown, Alexander L. & Healy, Paul J., 2018. "Separated decisions," European Economic Review, Elsevier, vol. 101(C), pages 20-34.
    23. Enrico Diecidue & Jeroen Van De Ven, 2008. "Aspiration Level, Probability Of Success And Failure, And Expected Utility," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(2), pages 683-700, May.
    24. Wakker, Peter P. & Zank, Horst, 2002. "A simple preference foundation of cumulative prospect theory with power utility," European Economic Review, Elsevier, vol. 46(7), pages 1253-1271, July.

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