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Decreasing impatience and the magnitude effect jointly contradict exponential discounting

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  • Noor, Jawwad

Abstract

The experimental literature on time preference finds that the manner in which subjects discount money (as opposed to utility) exhibits properties known as Decreasing Impatience and the Magnitude Effect. While these findings are often referred to as anomalies for the Exponential Discounting model, several authors have demonstrated that each of these qualitative findings can be explained by the curvature of utility and thus are not anomalies. We prove that, under basic regularity conditions, the two findings jointly imply the existence of Preference Reversals, and thus jointly contradict the Exponential Discounting model.

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  • Noor, Jawwad, 2009. "Decreasing impatience and the magnitude effect jointly contradict exponential discounting," Journal of Economic Theory, Elsevier, vol. 144(2), pages 869-875, March.
    • Handle: RePEc:eee:jetheo:v:144:y:2009:i:2:p:869-875
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    References listed on IDEAS

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    1. Fishburn, Peter C & Rubinstein, Ariel, 1982. "Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 677-694, October.
    2. Anand, Paul & Pattanaik, Prasanta & Puppe, Clemens (ed.), 2009. "The Handbook of Rational and Social Choice," OUP Catalogue, Oxford University Press, number 9780199290420.
    3. Jawwad Noor, 2007. "Hyperbolic Discounting and the Standard Model," Boston University - Department of Economics - Working Papers Series WP2007-028, Boston University - Department of Economics.
    4. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    5. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Eliciting Risk and Time Preferences," Econometrica, Econometric Society, vol. 76(3), pages 583-618, May.
    6. Jawwad Noor, 2007. "Hyperbolic Discounting and the Standard," Levine's Bibliography 321307000000000939, UCLA Department of Economics.
    7. 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.
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    Cited by:

    1. Yu-Jui Huang & Zhou Zhou, 2017. "The Optimal Equilibrium for Time-Inconsistent Stopping Problems -- the Discrete-Time Case," Papers 1707.04981, arXiv.org, revised Dec 2018.
    2. Zexuan Wang & Ismaël Rafaï & Marc Willinger, 2023. "Does age affect the relation between risk and time preferences? Evidence from a representative sample," Southern Economic Journal, John Wiley & Sons, vol. 90(2), pages 341-368, October.
    3. Yu-Jui Huang & Adrien Nguyen-Huu, 2018. "Time-consistent stopping under decreasing impatience," Finance and Stochastics, Springer, vol. 22(1), pages 69-95, January.
    4. Bianjun Xia, 2011. "A simple explanation of some key time preference anomalies," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 44(2), pages 695-708, May.
    5. Erhan Bayraktar & Jingjie Zhang & Zhou Zhou, 2021. "Equilibrium concepts for time‐inconsistent stopping problems in continuous time," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 508-530, January.
    6. Zhou, Zhou & Jin, Zhuo, 2020. "Optimal equilibrium barrier strategies for time-inconsistent dividend problems in discrete time," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 100-108.
    7. Jawwad Noor & Norio Takeoka, 2022. "Optimal Discounting," Econometrica, Econometric Society, vol. 90(2), pages 585-623, March.
    8. Murat Yilmaz, 2018. "An Extended Survey of Time-Inconsistency and Its Applications," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 32(1), pages 55-73.
    9. Jawwad Noor & Norio Takeoka, "undated". "Impatience as Selfishness," Boston University - Department of Economics - Working Papers Series WP2018-008, Boston University - Department of Economics.
    10. Anujit Chakraborty, 2021. "Present Bias," Econometrica, Econometric Society, vol. 89(4), pages 1921-1961, July.

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