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Heterogeneous Beliefs with Finite-Lived Agents

  • A. A. Brown
  • L. C. G. Rogers

This paper will examine a model with many agents, each of whom has a different belief about the dynamics of a risky asset. The agents are Bayesian and so learn about the asset over time. All agents are assumed to have a finite (but random) lifetime. When an agent dies, he passes his wealth (but not his knowledge) onto his heir. As a result, the agents never become sure of the dynamics of the risky asset. We derive expressions for the stock price and riskless rate. We then use numerical examples to exhibit their behaviour.

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File URL: http://arxiv.org/pdf/0907.4953
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Paper provided by arXiv.org in its series Papers with number 0907.4953.

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Date of creation: Jul 2009
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Handle: RePEc:arx:papers:0907.4953
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  1. Michael Gallmeyer & Burton Hollifield, 2008. "An Examination of Heterogeneous Beliefs with a Short-Sale Constraint in a Dynamic Economy," Review of Finance, European Finance Association, vol. 12(2), pages 323-364.
  2. Nikolaus Hautsch & Dieter Hess, 2004. "Bayesian Learning in Financial Markets: Testing for the Relevance of Information Precision in Price Discovery," Discussion Papers 04-17, University of Copenhagen. Department of Economics.
  3. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer, vol. 4(6), pages 877-900, October.
  4. Ho-Mou Wu & Wen-Chung Guo, 2003. "Speculative trading with rational beliefs and endogenous uncertainty," Economic Theory, Springer, vol. 21(2), pages 263-292, 03.
  5. Ehud Kalai & Ehud Lehrer, 1990. "Rational Learning Leads to Nash Equilibrium," Discussion Papers 895, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Stephen Morris, 1996. "Speculative investor behavior and learning," Working Papers 96-5, Federal Reserve Bank of Philadelphia.
  7. Min Fan, 2006. "Heterogeneous Beliefs, the Term Structure and Time-varying Risk Premia," Annals of Finance, Springer, vol. 2(3), pages 259-285, July.
  8. Angus A Brown & L C G Rogers, 2010. "Diverse Beliefs," Papers 1001.1450, arXiv.org.
  9. Mordecai Kurz & Hehui Jin & Maurizio Motolese, 2005. "Determinants of stock market volatility and risk premia," Annals of Finance, Springer, vol. 1(2), pages 109-147, 07.
  10. Clotilde Napp & Elyès Jouini, 2007. "Consensus consumer and intertemporal asset pricing with heterogeneous beliefs," Post-Print halshs-00152348, HAL.
  11. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
  12. Jouini, Elyès & Napp, Clotilde, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," Economics Papers from University Paris Dauphine 123456789/78, Paris Dauphine University.
  13. Hiroyuki Nakata, 2007. "A Model of Financial Markets with Endogenously Correlated Rational Beliefs," Economic Theory, Springer, vol. 30(3), pages 431-452, March.
  14. Basak, Suleyman, 2000. "A model of dynamic equilibrium asset pricing with heterogeneous beliefs and extraneous risk," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 63-95, January.
  15. Harris, Milton & Raviv, Artur, 1993. "Differences of Opinion Make a Horse Race," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 473-506.
  16. Kurz, Mordecai & Motolese, Maurizio, 2006. "Risk Premia, diverse belief and beauty contests," MPRA Paper 247, University Library of Munich, Germany.
  17. Ho-Mou Wu & Wen-Chung Guo, 2004. "Asset price volatility and trading volume with rational beliefs," Economic Theory, Springer, vol. 23(4), pages 795-829, May.
  18. Schinkel, Maarten Pieter & Tuinstra, Jan & Vermeulen, Dries, 2002. "Convergence of Bayesian learning to general equilibrium in mis-specified models," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 483-508, December.
  19. Li, Tao, 2007. "Heterogeneous beliefs, asset prices, and volatility in a pure exchange economy," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1697-1727, May.
  20. Kurz, Mordecai, 2008. "Beauty contests under private information and diverse beliefs: How different?," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 762-784, July.
  21. Kandel, Eugene & Pearson, Neil D, 1995. "Differential Interpretation of Public Signals and Trade in Speculative Markets," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 831-72, August.
  22. Andrea Buraschi & Alexei Jiltsov, 2006. "Model Uncertainty and Option Markets with Heterogeneous Beliefs," Journal of Finance, American Finance Association, vol. 61(6), pages 2841-2897, December.
  23. Harrison, J Michael & Kreps, David M, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, MIT Press, vol. 92(2), pages 323-36, May.
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