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Dynamic Preference Foundations of Expected Exponentially-Discounted Utility

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  • Craig S. Webb

Abstract

Expected exponentially-discounted utility (EEDU) is the standard model of choice over risk and time in economics. This paper considers the dynamic preference foundations of EEDU in the timed risks framework. We first provide dynamic preference foundations for a time-invariant expected utility representation. The new axioms for this are called foregone-risk independence and strong time invariance. This class of dynamic preferences includes EEDU as a special case. If foregone-risk independence is strengthened to a new condition called conditional consistency, then an EEDU representation results. Alternative approaches for extending exponential discounting axioms to risk are considered, resulting in five new preference foundations of EEDU.

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  • Craig S. Webb, 2023. "Dynamic Preference Foundations of Expected Exponentially-Discounted Utility," Economics Discussion Paper Series 2303, Economics, The University of Manchester.
    • Handle: RePEc:man:sespap:2303
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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    3. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475, October.
    4. Prakash, Prem, 1977. "On the consistency of a gambler with time preference," Journal of Economic Theory, Elsevier, vol. 15(1), pages 92-98, June.
    5. Millner, Antony & Heal, Geoffrey, 2018. "Time consistency and time invariance in collective intertemporal choice," Journal of Economic Theory, Elsevier, vol. 176(C), pages 158-169.
    6. Hayashi, Takashi, 2003. "Quasi-stationary cardinal utility and present bias," Journal of Economic Theory, Elsevier, vol. 112(2), pages 343-352, October.
    7. Asen Kochov, 2015. "Time and No Lotteries: An Axiomatization of Maxmin Expected Utility," Econometrica, Econometric Society, vol. 83, pages 239-262, January.
    8. Grandmont, Jean-Michel, 1972. "Continuity properties of a von Neumann-Morgenstern utility," Journal of Economic Theory, Elsevier, vol. 4(1), pages 45-57, February.
    9. Matthew O. Jackson & Leeat Yariv, 2015. "Collective Dynamic Choice: The Necessity of Time Inconsistency," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 150-178, November.
    10. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2020. "Time Lotteries and Stochastic Impatience," Econometrica, Econometric Society, vol. 88(2), pages 619-656, March.
    11. Karni, Edi & Schmeidler, David, 1991. "Atemporal dynamic consistency and expected utility theory," Journal of Economic Theory, Elsevier, vol. 54(2), pages 401-408, August.
    12. Gilboa, Itzhak & Postlewaite, Andrew & Samuelson, Larry, 2016. "Memorable consumption," Journal of Economic Theory, Elsevier, vol. 165(C), pages 414-455.
    13. Yoram Halevy, 2015. "Time Consistency: Stationarity and Time Invariance," Econometrica, Econometric Society, vol. 83, pages 335-352, January.
    14. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    15. Nachman, David C., 1975. "Risk aversion, impatience, and optimal timing decisions," Journal of Economic Theory, Elsevier, vol. 11(2), pages 196-246, October.
    16. Nina Anchugina, 2017. "A simple framework for the axiomatization of exponential and quasi-hyperbolic discounting," Theory and Decision, Springer, vol. 82(2), pages 185-210, February.
    17. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    18. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
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