IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/halshs-00488570.html
   My bibliography  Save this paper

Cognitive biases and the representative agent

Author

Listed:
  • Elyès Jouini

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris sciences et lettres - CNRS - Centre National de la Recherche Scientifique)

  • Clotilde Napp

    (DRM - Dauphine Recherches en Management - Université Paris Dauphine-PSL - PSL - Université Paris sciences et lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

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).

Suggested Citation

  • Elyès Jouini & Clotilde Napp, 2009. "Cognitive biases and the representative agent," Working Papers halshs-00488570, HAL.
  • Handle: RePEc:hal:wpaper:halshs-00488570
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00488570
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00488570/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Diecidue, Enrico & Wakker, Peter P, 2001. "On the Intuition of Rank-Dependent Utility," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 281-298, November.
    2. 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.
    3. Isabelle Brocas & Juan D. Carrillo, 2008. "The Brain as a Hierarchical Organization," American Economic Review, American Economic Association, vol. 98(4), pages 1312-1346, September.
    4. 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.
    5. Elyès Jouini & Clotilde Napp, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1149-1174.
    6. Jonathan D. Cohen, 2005. "The Vulcanization of the Human Brain: A Neural Perspective on Interactions Between Cognition and Emotion," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 3-24, Fall.
    7. Thaler, Richard H & Shefrin, H M, 1981. "An Economic Theory of Self-Control," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 392-406, April.
    8. Abel, Andrew B., 2002. "An exploration of the effects of pessimism and doubt on asset returns," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1075-1092, July.
    9. repec:dau:papers:123456789/260 is not listed on IDEAS
    10. 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.
    11. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    12. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    13. 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.
    14. Craig R. Fox & Amos Tversky, 1995. "Ambiguity Aversion and Comparative Ignorance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 585-603.
    15. Christian Gollier, 1997. "A Note on Portfolio Dominance," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 147-150.
    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. Shefrin, Hersh M & Thaler, Richard H, 1988. "The Behavioral Life-Cycle Hypothesis," Economic Inquiry, Western Economic Association International, vol. 26(4), pages 609-643, October.
    18. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    19. 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.
    20. Kenneth F. Reinschmidt, 2002. "Aggregate Social Discount Rate Derived from Individual Discount Rates," Management Science, INFORMS, vol. 48(2), pages 307-312, February.
    21. repec:dau:papers:123456789/78 is not listed on IDEAS
    22. Itzhak Gilboa, 2004. "Uncertainty in Economic Theory," Post-Print hal-00756317, HAL.
    23. 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.
    24. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
    25. Michael Landsberger & Isaac Meilijson, 1993. "Mean-preserving Portfolio Dominance," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(2), pages 479-485.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Elyès Jouini & Clotilde Napp, 2012. "Behavioral biases and the representative agent," Theory and Decision, Springer, vol. 73(1), pages 97-123, July.
    2. repec:dau:papers:123456789/2319 is not listed on IDEAS
    3. repec:dau:papers:123456789/6511 is not listed on IDEAS
    4. Laurent Denant-Boemont & Olivier L’Haridon, 2013. "La rationalité à l'épreuve de l'économie comportementale," Revue française d'économie, Presses de Sciences-Po, vol. 0(2), pages 35-89.
    5. 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.
    6. Jouini, Elyès & Napp, Clotilde, 2014. "How to aggregate experts' discount rates: An equilibrium approach," Economic Modelling, Elsevier, vol. 36(C), pages 235-243.
    7. Jinrui Pan & Craig S. Webb & Horst Zank, 2019. "Delayed probabilistic risk attitude: a parametric approach," Theory and Decision, Springer, vol. 87(2), pages 201-232, September.
    8. Elyès Jouini & Clotilde Napp, 2008. "Aggregation of Discount Rates: an Equilibrium Approach," Working Papers halshs-00394035, HAL.
    9. Mohammed Abdellaoui & Olivier L’Haridon & Horst Zank, 2010. "Separating curvature and elevation: A parametric probability weighting function," Journal of Risk and Uncertainty, Springer, vol. 41(1), pages 39-65, August.
    10. Wakker, Peter P. & Zank, Horst, 2002. "A simple preference foundation of cumulative prospect theory with power utility," European Economic Review, Elsevier, vol. 46(7), pages 1253-1271, July.
    11. Olivier L’Haridon & Lætitia Placido, 2010. "Betting on Machina’s reflection example: an experiment on ambiguity," Theory and Decision, Springer, vol. 69(3), pages 375-393, September.
    12. 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.
    13. Kpegli, Yao Thibaut & Corgnet, Brice & Zylbersztejn, Adam, 2023. "All at once! A comprehensive and tractable semi-parametric method to elicit prospect theory components," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    14. Diecidue, Enrico & Schmidt, Ulrich & Zank, Horst, 2009. "Parametric weighting functions," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1102-1118, May.
    15. Geoffrey Heal & Antony Millner, 2013. "Discounting under disagreement," GRI Working Papers 112, Grantham Research Institute on Climate Change and the Environment.
    16. Dorje C. Brody & Lane P. Hughston, 2013. "Social Discounting and the Long Rate of Interest," Papers 1306.5145, arXiv.org, revised Sep 2015.
    17. Michael Kilka & Martin Weber, 2001. "What Determines the Shape of the Probability Weighting Function Under Uncertainty?," Management Science, INFORMS, vol. 47(12), pages 1712-1726, December.
    18. José Lara Resende & George Wu, 2010. "Competence effects for choices involving gains and losses," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 109-132, April.
    19. Thomas Epper & Helga Fehr-Duda, 2012. "The missing link: unifying risk taking and time discounting," ECON - Working Papers 096, Department of Economics - University of Zurich, revised Oct 2018.
    20. Floris Heukelom, 2007. "Who are the Behavioral Economists and what do they say?," Tinbergen Institute Discussion Papers 07-020/1, Tinbergen Institute.
    21. Mohammed Abdellaoui & Frank Vossmann & Martin Weber, 2005. "Choice-Based Elicitation and Decomposition of Decision Weights for Gains and Losses Under Uncertainty," Management Science, INFORMS, vol. 51(9), pages 1384-1399, September.
    22. Francesco Cesarone & Massimiliano Corradini & Lorenzo Lampariello & Jessica Riccioni, 2023. "A new behavioral model for portfolio selection using the Half-Full/Half-Empty approach," Papers 2312.10749, arXiv.org.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:halshs-00488570. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.