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Non-Existence of Competitive Equilibria with Dynamically Inconsistent Preferences

Author

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  • Gabrieli, Tommaso

    (Department of Economics, City University London and Institute of Economic Policy Catholic University of Milan)

  • Ghosal, Sayantan

    (Department of Economics, University of Warwick)

Abstract

This paper shows the robust non existence of competitive equilibria even in a simple three period representative agent economy with dynamically inconsistent preferences. We distinguish between a sophisticated and naive representative agent. Even when underlying preferences are monotone and convex, we show by example that the induced preferences, at given prices, of the sophisticated representative agent over choices in first period markets are both non convex and satiated. Therefore, even allowing for negative prices, the market clearing allocation is not contained in the convex hull of demand. Finally, with a naive representative agent, we show that perfect foresight is incompatible with market clearing and individual optimization at given prices.

Suggested Citation

  • Gabrieli, Tommaso & Ghosal, Sayantan, 2009. "Non-Existence of Competitive Equilibria with Dynamically Inconsistent Preferences," The Warwick Economics Research Paper Series (TWERPS) 900, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:900
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    References listed on IDEAS

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    Cited by:

    1. Cingiz, Kutay & Flesch, János & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2016. "Doing it now, later, or never," Games and Economic Behavior, Elsevier, vol. 97(C), pages 174-185.
    2. Takeshi Ojima, 2013. "General Equilibrium Dynamics with Naive and Sophisticated Hyperbolic Consumers in an Overlapping Generations Economy," ISER Discussion Paper 0886r, Institute of Social and Economic Research, Osaka University, revised Jan 2014.
    3. Dziewulski, Paweł, 2015. "Efficiency of competitive equilibria in economies with time-dependent preferences," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 311-325.
    4. Woźny Łukasz, 2016. "On the Price of Commitment Assets in a General Equilibrium Model with Credit Constraints and Tempted Consumers," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(2), pages 579-598, June.
    5. repec:dpr:wpaper:0886 is not listed on IDEAS

    More about this item

    Keywords

    dynamically inconsistent preferences ; competitive equilibrium ; existence ; satiation ; non convexity;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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