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Savings behavior with imperfect capital markets: when hyperbolic discounting leads to discontinuous strategies

Author

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  • Bertrand Wigniolle

    (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 des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper provides a detailed study of a simple life-cycle consumption model with quasi-hyperbolic discounting and an imperfect financial market. It gives a complete characterization of savings behavior. The joint assumptions of quasi-hyperbolic discount factors and no-borrowing constraints may lead to non-convexities in selves' objective functions that may imply discontinuous equilibrium strategies. The savings function may undergo jumps and non-monotonicities when the income or the interest rate reaches a threshold value. These ''anomalies'' may exist even for reasonable parameter values.

Suggested Citation

  • Bertrand Wigniolle, 2012. "Savings behavior with imperfect capital markets: when hyperbolic discounting leads to discontinuous strategies," Post-Print halshs-00684210, HAL.
    • Handle: RePEc:hal:journl:halshs-00684210
    DOI: 10.1016/j.econlet.2012.02.014
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00684210
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    References listed on IDEAS

    as
    1. Wigniolle, Bertrand, 2012. "Savings behavior with imperfect capital markets: When hyperbolic discounting leads to discontinuous strategies," Economics Letters, Elsevier, vol. 116(2), pages 186-189.
    2. Wigniolle, Bertrand, 2013. "Fertility in the absence of self-control," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 71-86.
    3. Laibson, David, 1998. "Life-cycle consumption and hyperbolic discount functions," European Economic Review, Elsevier, vol. 42(3-5), pages 861-871, May.
    4. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    5. Diamond, Peter & Koszegi, Botond, 2003. "Quasi-hyperbolic discounting and retirement," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 1839-1872, September.
    6. Carlo Favero, 2005. "Consumption, Wealth, the Elasticity of Intertemporal Substitution and Long-Run Stock Market Returns," Working Papers 291, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    7. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Wigniolle, Bertrand, 2012. "Savings behavior with imperfect capital markets: When hyperbolic discounting leads to discontinuous strategies," Economics Letters, Elsevier, vol. 116(2), pages 186-189.
    2. Wigniolle, Bertrand, 2013. "Fertility in the absence of self-control," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 71-86.
    3. Lu, Yang & Wu, Dongmei & Zhuang, Xintian, 2016. "Part-whole bias in intertemporal choice: An empirical study of additive assumption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 231-235.
    4. Lu, Yang & Zhuang, Xintian, 2014. "The impact of gender and working experience on intertemporal choices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 146-153.
    5. repec:hal:pseose:halshs-00823264 is not listed on IDEAS

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    More about this item

    Keywords

    Quasi-hyperbolic preferences; No-borrowing constraint; Discontinuous strategies;
    All these keywords.

    JEL classification:

    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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