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Non-Existence of Competitive Equilibria with Dynamically Inconsistent Preferences

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Author Info
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)

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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.

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Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 900.

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Date of creation: 2009
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Handle: RePEc:wrk:warwec:900

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Related research
Keywords: dynamically inconsistent preferences ; competitive equilibrium ; existence ; satiation ; non convexity;

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Find related papers by JEL classification:
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving

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  1. P. Herings & Kirsten Rohde, 2006. "Time-inconsistent preferences in a general equilibrium model," Economic Theory, Springer, vol. 29(3), pages 591-619, November. [Downloadable!] (restricted)
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  2. Erzo Luttmer & Thomas Mariotti, 2006. "Competitive equilibrium when preferences change over time," Economic Theory, Springer, vol. 27(3), pages 679-690, 04. [Downloadable!] (restricted)
  3. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  4. Blackorby, Charles, et al, 1973. "Consistent Intertemporal Decision Making," Review of Economic Studies, Blackwell Publishing, vol. 40(2), pages 239-48, April. [Downloadable!] (restricted)
  5. Luttmer, Erzo G.J. & Mariotti, Thomas, 2007. "Efficiency and equilibrium when preferences are time-inconsistent," Journal of Economic Theory, Elsevier, vol. 132(1), pages 493-506, January. [Downloadable!] (restricted)
  6. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-57, July.
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  7. Erzo G. J. Luttmer & Thomas Mariotti, 2003. "Subjective Discounting in an Exchange Economy," Journal of Political Economy, University of Chicago Press, vol. 111(5), pages 959-989, October. [Downloadable!] (restricted)
  8. Robert J. Barro, 1999. "Ramsey Meets Laibson In The Neoclassical Growth Model," The Quarterly Journal of Economics, MIT Press, vol. 114(4), pages 1125-1152, November. [Downloadable!] (restricted)
  9. Andrew Caplin & John Leahy, 2001. "Psychological Expected Utility Theory And Anticipatory Feelings," The Quarterly Journal of Economics, MIT Press, vol. 116(1), pages 55-79, February. [Downloadable!] (restricted)
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  10. Goldman, Steven M, 1980. "Consistent Plans," Review of Economic Studies, Blackwell Publishing, vol. 47(3), pages 533-37, April. [Downloadable!] (restricted)
  11. Peleg, Bezalel & Yaari, Menahem E, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Blackwell Publishing, vol. 40(3), pages 391-401, July. [Downloadable!] (restricted)
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