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Aggregation of Heterogeneous Beliefs

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Author Info
Elyès Jouini () (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS : UMR7534 - Université Paris Dauphine - Paris IX)
Clotilde Napp (DRM - Dauphine Recherches en Management - CNRS : UMR7088 - Université Paris Dauphine - Paris IX)

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Abstract

This paper is a generalization of Calvet et al. (2002) to a dynamic setting. We propose a method to aggregate heterogeneous individual probability beliefs, in dynamic and complete asset markets, into a single consensus probability belief. This consensus probability belief, if commonly shared by all investors, generates the same equilibrium prices as well as the same individual marginal valuation as in the original heterogeneous probability beliefs setting. As in Calvet et al. (2002), the construction stands on a fictitious adjustment of the market portfolio. The adjustment process reflects the aggregation bias due to the diversity of beliefs. In this setting, the construction of a representative agent is shown to be also valid.

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Paper provided by HAL in its series Post-Print with number halshs-00176505_v1.

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Date of creation: 01 Sep 2006
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Publication status: Published, Journal of Mathematical Economics, 2006, 752-770
Handle: RePEc:hal:journl:halshs-00176505_v1

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Related research
Keywords: Heterogeneous beliefs; Consensus belief; Aggregation of belief; Representative agents;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Rubinstein, Mark, 1976. "The Strong Case for the Generalized Logarithmic Utility Model as the Premier Model of Financial Markets," Journal of Finance, American Finance Association, vol. 31(2), pages 551-71, May. [Downloadable!] (restricted)
  2. Zapatero, Fernando, 1998. "Effects of financial innovations on market volatility when beliefs are heterogeneous," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 597-626, April. [Downloadable!] (restricted)
  3. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 11(2), pages 309-41.
  4. Laurent Calvet ; Jean-Michel Grandmont ; Isabelle Lemaire, 2001. "Aggregation of Heterogenous Beliefs and Asset Pricing in Complete Financial Markets," Working Papers 2001-01, Centre de Recherche en Economie et Statistique. [Downloadable!]
  5. Elyès Jouini & Clotilde Napp, 2003. "Consensus consumer and intertemporal asset pricing with heterogeneous beliefs," Finance 0312001, EconWPA. [Downloadable!]
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  6. Rubinstein, Mark, 1974. "An aggregation theorem for securities markets," Journal of Financial Economics, Elsevier, vol. 1(3), pages 225-244, September. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Christian Gollier, 2007. "Whom should we believe? Aggregation of heterogeneous beliefs," Journal of Risk and Uncertainty, Springer, vol. 35(2), pages 107-127, October. [Downloadable!] (restricted)
  2. Costas Xiouros, 2006. "Asset price volatilities and trading volumes in heterogeneous agent economies," Computing in Economics and Finance 2006 466, Society for Computational Economics. [Downloadable!]
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