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Cognitive biases and the representative agent

  • Elyès Jouini

    ()

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS - Université Paris IX - Paris Dauphine)

  • Clotilde Napp

    (DRM - Dauphine Recherches en Management - CNRS - Université Paris IX - Paris Dauphine)

In this paper, we show that behavioral features can be obtained at a group level when the individuals of the group are heterogeneous enough. Starting from a standard model of Pareto optimal allocations, with expected utility maximizers and exponential discounting, but allowing for heterogeneity among individual beliefs and individual time preference rates, we show that the representative agent has an inverse S-shaped probability distortion function and hyperbolic discount rates. As an application of this result, we show that an agent with a probability weighting function as in Cumulative Prospect Theory (resp. an ambiguity averse agent, resp. an hyperbolic discounting agent) may be represented as a collection of agents with noisy beliefs (resp. heterogeneous beliefs, resp. heterogeneous constant discount rates).

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Paper provided by HAL in its series Working Papers with number halshs-00488570.

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Date of creation: 2009
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Handle: RePEc:hal:wpaper:halshs-00488570
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00488570
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  1. Isabelle Brocas & Juan D. Carrillo, 2005. "The Brain as a Hierarchical Organization," Levine's Bibliography 784828000000000205, UCLA Department of Economics.
  2. Clotilde Napp & Elyès Jouini, 2007. "Consensus consumer and intertemporal asset pricing with heterogeneous beliefs," Post-Print halshs-00152348, HAL.
  3. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
  4. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 573-597.
  5. Diecidue, E. & Wakker, P.P., 2000. "On the Intuition of Rank-Dependent Utility," Discussion Paper 2000-74, Tilburg University, Center for Economic Research.
  6. Andrew B. Abel, 2001. "An exploration of the effects of pessimism and doubt on asset returns," Working Papers 01-1, Federal Reserve Bank of Philadelphia.
  7. Craig R. Fox & Amos Tversky, 1995. "Ambiguity Aversion and Comparative Ignorance," The Quarterly Journal of Economics, Oxford University Press, vol. 110(3), pages 585-603.
  8. Diego Nocetti & Elyès Jouini & Clotilde Napp, 2008. "Properties of the Social Discount Rate in a Benthamite Framework with Heterogeneous Degrees of Impatience," Management Science, INFORMS, vol. 54(10), pages 1822-1826, October.
  9. repec:dau:papers:123456789/260 is not listed on IDEAS
  10. Christian Gollier, 1997. "A Note on Portfolio Dominance," Review of Economic Studies, Oxford University Press, vol. 64(1), pages 147-150.
  11. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
  12. Jouini, Elyès & Marin, Jean-Michel & Napp, Clotilde, 2010. "Discounting and divergence of opinion," Journal of Economic Theory, Elsevier, vol. 145(2), pages 830-859, March.
  13. H. M. Shefrin & Richard Thaler, 1977. "An Economic Theory of Self-Control," NBER Working Papers 0208, National Bureau of Economic Research, Inc.
  14. Landsberger, Michael & Meilijson, Isaac, 1990. "Demand for risky financial assets: A portfolio analysis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 204-213, February.
  15. David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
  16. Yvan Lengwiler, 2005. "Heterogeneous Patience and the Term Structure of Real Interest Rates," American Economic Review, American Economic Association, vol. 95(3), pages 890-896, June.
  17. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  18. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
  19. Kenneth F. Reinschmidt, 2002. "Aggregate Social Discount Rate Derived from Individual Discount Rates," Management Science, INFORMS, vol. 48(2), pages 307-312, February.
  20. Shefrin, Hersh M & Thaler, Richard H, 1988. "The Behavioral Life-Cycle Hypothesis," Economic Inquiry, Western Economic Association International, vol. 26(4), pages 609-43, October.
  21. Chateauneuf, Alain & Cohen, Michele, 1994. "Risk Seeking with Diminishing Marginal Utility in a Non-expected Utility Model," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 77-91, July.
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