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Payoff Kinks in Preferences over Lotteries

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  • Machina, Mark J

Abstract

This paper identifies two distinct types of payoff kinks that can be exhibited by preference functions over monetary lotteries--"locally separable" vs. "locally nonseparable"--and illustrates their relationship to the payoff and probability derivatives of such functions. Expected utility and Frechet differentiable preference functions are found to be incapable of exhibiting locally nonseparable payoff kinks; rank-dependent preference functions are incapable of avoiding them. Copyright 2001 by Kluwer Academic Publishers

Suggested Citation

  • Machina, Mark J, 2001. "Payoff Kinks in Preferences over Lotteries," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 207-260, November.
    • Handle: RePEc:kap:jrisku:v:23:y:2001:i:3:p:207-60
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    Cited by:

    1. Kam Yu, 2009. "Measuring the Output and Prices of the Lottery Sector: An Application of Implicit Expected Utility Theory," NBER Chapters,in: Price Index Concepts and Measurement, pages 405-425 National Bureau of Economic Research, Inc.
    2. Frank Milne & Edwin Neave, 2003. "A General Equilibrium Financial Asset Economy with Transaction Costs and Trading Constraints," Working Papers 1082, Queen's University, Department of Economics.
    3. 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.
    4. Edi Karni & Zvi Safra, 2008. "Moral sentiments and social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 427-446, April.
    5. Sujoy Mukerji & Jean-Marc Tallon, 2002. "Ellsberg`s 2-Color Experiment, Bid-Ask Behavior and Ambiguity," Economics Series Working Papers 114, University of Oxford, Department of Economics.
    6. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications, Elsevier.
    7. Fabio Maccheroni & Massimo Marinacci & Doriana Ruffino, 2011. "Does Uncertainty Vanish in the Small? The Smooth Ambiguity Case," Working Papers 391, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    8. Robert G. Chambers & John Quiggin, 2007. "Dual Approaches to the Analysis of Risk Aversion," Economica, London School of Economics and Political Science, vol. 74(294), pages 189-213, May.
    9. Kannai, Yakar & Selden, Larry & Kang, Minwook & Wei, Xiao, 2016. "Risk neutrality regions," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 75-89.
    10. Shaw, W. Douglass & Woodward, Richard T., 2008. "Why environmental and resource economists should care about non-expected utility models," Resource and Energy Economics, Elsevier, vol. 30(1), pages 66-89, January.
    11. Sagi, Jacob S., 2006. "Anchored preference relations," Journal of Economic Theory, Elsevier, vol. 130(1), pages 283-295, September.
    12. Edi Karni & Zvi Safra, 2003. "Moral Sentiments and Social Choice: Fairness Considerations in University Admissions," Economics Working Paper Archive 492, The Johns Hopkins University,Department of Economics.
    13. Liang Zou, 2006. "An Alternative to Prospect Theory," Annals of Economics and Finance, Society for AEF, vol. 7(1), pages 1-28, May.

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