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Hyperbolic discounting may be time consistent

Author

Listed:
  • Nicolas Drouhin

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

Using dynamic programming methodology, the paper analyzes the most general conditions for an additive utility functional to represent time consistent preferences. It challenges the conventional wisdom of the domain, which, following Strotz(1956), assume that only exponential discounting is compatible with time consistent behavior. The paper gives some examples of special time consistent hyperbolic discount functions and also discuss the relation between time consistency and stationarity.

Suggested Citation

  • Nicolas Drouhin, 2009. "Hyperbolic discounting may be time consistent," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00633177, HAL.
  • Handle: RePEc:hal:cesptp:hal-00633177
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    Citations

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    Cited by:

    1. Drouhin, Nicolas, 2020. "Non-stationary additive utility and time consistency," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 1-14.
    2. André Lapied & Olivier Renault, 2012. "An Investigation of Time Consistency for Subjective Discontinued Utility," Working Papers halshs-00793174, HAL.
    3. Strulik, Holger & Trimborn, Timo, 2018. "Hyperbolic discounting can be good for your health," Journal of Economic Psychology, Elsevier, vol. 69(C), pages 44-57.
    4. André Lapied & Olivier Renault, 2012. "A subjective discounted utility model," Economics Bulletin, AccessEcon, vol. 32(2), pages 1171-1179.
    5. Cabo, Francisco & Martín-Herrán, Guiomar & Martínez-García, María Pilar, 2016. "Unbounded growth in the Neoclassical growth model with non-constant discounting," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 93-104.
    6. Orlando Gomes & Alexandra Ferreira-Lopes & Tiago Sequeira, 2014. "Exponential discounting bias," Journal of Economics, Springer, vol. 113(1), pages 31-57, September.
    7. Holger Strulik, 2021. "Hyperbolic discounting and the time‐consistent solution of three canonical environmental problems," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(3), pages 462-486, June.
    8. Strulik, Holger & Werner, Katharina, 2021. "Time-inconsistent health behavior and its impact on aging and longevity," Journal of Health Economics, Elsevier, vol. 76(C).
    9. Drouhin, Nicolas, 2015. "A rank-dependent utility model of uncertain lifetime," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 208-224.
    10. Nicolas Drouhin, 2012. "A rank-dependent utility model of uncertain lifetime, time consistency and life insurance," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00748662, HAL.
    11. Nicolas Drouhin, 2016. "Non stationary additive utility and time consistency," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01238584, HAL.
    12. Strulik, Holger, 2019. "I shouldn’t eat this donut: Self-control, body weight, and health in a life cycle model," The Journal of the Economics of Ageing, Elsevier, vol. 14(C).
    13. Anna M. Dugan & Timo Trimborn, 2020. "The Optimal Extraction of Non-Renewable Resources under Hyperbolic Discounting," Economics Working Papers 2020-17, Department of Economics and Business Economics, Aarhus University.

    More about this item

    Keywords

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    JEL classification:

    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment

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