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From Decision in Risk to Decision in Time - and Return: A Restatement of Probability Discounting

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  • Marc-Arthur Diaye

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • André Lapidus

    (PHARE - Philosophie, Histoire et Analyse des Représentations Économiques - UP1 - Université Paris 1 Panthéon-Sorbonne)

  • Christian Schmidt

    (PHARE - Philosophie, Histoire et Analyse des Représentations Économiques - UP1 - Université Paris 1 Panthéon-Sorbonne)

Abstract

This paper aims at restating, in a decision theory framework, the results of some signicant contributions of the literature on probability discounting that followed the publication of the pioneering article by Rachlin et al. (1991). We provide a restatement of probability discounting in terms of rank-dependent utility, in which the utilities of the outcomes of n-issues lotteries are weighted by probabilities transformed after their transposition into time-delays. This formalism makes the typical cases of rationality in time and in risk mutually exclusive, but allows looser types of rationality. The resulting attitude toward probability and toward risk are then determined in relation to the values of the two parameters involved in the procedure of probability discounting.

Suggested Citation

  • Marc-Arthur Diaye & André Lapidus & Christian Schmidt, 2021. "From Decision in Risk to Decision in Time - and Return: A Restatement of Probability Discounting," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03256606, HAL.
    • Handle: RePEc:hal:cesptp:hal-03256606
    Note: View the original document on HAL open archive server: https://paris1.hal.science/hal-03256606
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    References listed on IDEAS

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    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.
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    5. Chateauneuf, Alain & Cohen, Michele, 1994. "Risk Seeking with Diminishing Marginal Utility in a Non-expected Utility Model," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 77-91, July.
    6. 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.
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    14. María José Muñoz Torrecillas & Taiki Takahashi & Jesús Gil Roales-Nieto & Salvador Cruz Rambaud & Zaida Callejón Ruiz & Blas Torrecillas Jover, 2018. "Impatience and Inconsistency in Intertemporal Choice: An Experimental Analysis," Journal of Behavioral Finance, Taylor & Francis Journals, vol. 19(2), pages 190-198, April.
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    Keywords

    Probability discounting; time discounting; logarithmic time perception; rank-dependent utility; rationality; attitude toward probabilities; attitude toward risk;
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