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Lottery Decisions and Probability Weighting Function


  • Alarie, Yves
  • Dionne, Georges


This article analyzes the implications of basic lottery tests for the probability weighting function w(p). We first show that the w(p) function with one argument cannot accommodate three basic tests of lottery choice. We also discuss in detail the links between the w(p) function with one argument and the preference reversal paradox. In the last section we propose an evaluation function that accommodates the restrictions imposed by the tests and we provide an example of such function. Copyright 2001 by Kluwer Academic Publishers

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  • Alarie, Yves & Dionne, Georges, 2001. "Lottery Decisions and Probability Weighting Function," Journal of Risk and Uncertainty, Springer, vol. 22(1), pages 21-33, January.
  • Handle: RePEc:kap:jrisku:v:22:y:2001:i:1:p:21-33

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    References listed on IDEAS

    1. Savage, Ian, 1993. "An Empirical Investigation into the Effect of Psychological Perceptions on the Willingness-to-Pay to Reduce Risk," Journal of Risk and Uncertainty, Springer, vol. 6(1), pages 75-90, January.
    2. Jones-Lee, M W & Loomes, G, 1995. "Scale and Context Effects in the Valuation of Transport Safety," Journal of Risk and Uncertainty, Springer, vol. 11(3), pages 183-203, December.
    3. Chilton, Susan & Covey, Judith & Hopkins, Lorraine & Jones-Lee, Michael & Loomes, Graham & Pidgeon, Nick & Spencer, Anne, 2002. "Public Perceptions of Risk and Preference-Based Values of Safety," Journal of Risk and Uncertainty, Springer, vol. 25(3), pages 211-232, November.
    4. Viscusi, W Kip, 1989. "Prospective Reference Theory: Toward an Explanation of the Paradoxes," Journal of Risk and Uncertainty, Springer, vol. 2(3), pages 235-263, September.
    5. Kip Viscusi, W. & Magat, Wesley A. & Huber, Joel, 1991. "Pricing environmental health risks: survey assessments of risk-risk and risk-dollar trade-offs for chronic bronchitis," Journal of Environmental Economics and Management, Elsevier, vol. 21(1), pages 32-51, July.
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    Cited by:

    1. Yves Alarie & Georges Dionne, 2004. "On the Necessity of Using Lottery Qualities," Cahiers de recherche 0415, CIRPEE.
    2. Alarie, Yves & Dionne, Georges, 2004. "Utility of Gains and Losses: Measurement-Theoretical and Experimental Approaches: R. Duncan Luce, Lawrence Erlbaum Associates, Mahwah, NJ, USA, 1999, 331 pp., Author Index, Subject Index, US$ 59.95, I," Journal of Economic Behavior & Organization, Elsevier, vol. 54(1), pages 133-136, May.
    3. Yves Alarie & Georges Dionne, 2006. "Lottery qualities," Journal of Risk and Uncertainty, Springer, vol. 32(3), pages 195-216, May.
    4. Nathalie Etchart-Vincent, 2009. "Probability weighting and the ‘level’ and ‘spacing’ of outcomes: An experimental study over losses," Journal of Risk and Uncertainty, Springer, vol. 39(1), pages 45-63, August.
    5. Mattos, Fabio & Garcia, Philip & Pennings, Joost M.E., 2008. "Probability weighting and loss aversion in futures hedging," Journal of Financial Markets, Elsevier, vol. 11(4), pages 433-452, November.
    6. Narges Hajimoladarvish, 2017. "Very Low Probabilities in the Loss Domain," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(1), pages 41-58, March.
    7. Anat Bracha, 2004. "Affective Decision Making in Insurance Markets," Yale School of Management Working Papers amz2665, Yale School of Management, revised 01 Sep 2004.
    8. Humphrey, Steven J. & Verschoor, Arjan, 2004. "The probability weighting function: experimental evidence from Uganda, India and Ethiopia," Economics Letters, Elsevier, vol. 84(3), pages 419-425, September.

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