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On time preference, rational addiction and utility satiation

Author

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  • Jean-Pierre Drugeon

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

  • Bertrand Wigniolle

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

Abstract

A basic consumer problem with a unique good is considered, current consumption of this good influencing in a positive manner consumer intertemporal utility, while past consumption exerts a negative influence. Moreover, in the line of Fisher, a specification of preferences is retained so that the rate of time preference, assumes a long-run value – this means for a stationary consumption-path – that is non-monotonic as a function of consumption: impatience increases for low level of consumptions but decreases for higher ones. Such a framework allows for an integrated appraisal of addiction, satiation and the rate of time preference. It is shown that the emergence of an addiction phenomenon in the neighbourhood of an unsatiated long-run position exactly corresponds to letting the rate of time preference be an increasing function of past consumption habits. When addiction becomes sufficiently strong, the unsatiated stationary state becomes unstable and the satiated steady state becomes the only admissible stationary position.

Suggested Citation

  • Jean-Pierre Drugeon & Bertrand Wigniolle, 2007. "On time preference, rational addiction and utility satiation," Post-Print halshs-00185280, HAL.
    • Handle: RePEc:hal:journl:halshs-00185280
    DOI: 10.1016/j.jmateco.2006.06.010
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00185280
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    References listed on IDEAS

    as
    1. Iannaccone, Laurence R., 1986. "Addiction and satiation," Economics Letters, Elsevier, vol. 21(1), pages 95-99.
    2. Boyer, Marcel, 1978. "A Habit Forming Optimal Growth Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 585-609, October.
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    5. Epstein, Larry G & Hynes, J Allan, 1983. "The Rate of Time Preference and Dynamic Economic Analysis," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 611-635, August.
    6. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    7. Becker, Robert A. & Boyd, John III & Sung, Bom Yong, 1989. "Recursive utility and optimal capital accumulation. I. Existence," Journal of Economic Theory, Elsevier, vol. 47(1), pages 76-100, February.
    8. Shi, Shouyong & Epstein, Larry G, 1993. "Habits and Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 61-84, February.
    9. Stigler, George J & Becker, Gary S, 1977. "De Gustibus Non Est Disputandum," American Economic Review, American Economic Association, vol. 67(2), pages 76-90, March.
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    Cited by:

    1. Jesus Marin-Solano & Concepcio Patxot, 2009. "Discounting Arduousness," Working Papers in Economics 230, Universitat de Barcelona. Espai de Recerca en Economia.

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    Keywords

    Impatience; Consumption habits; Rational addiction; Satiation;
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