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Volatility, Heterogeneous Agents and Chaos

  • Orlando Gomes

    (Escola Superior de Comunicação Social)

Agent heterogeneity has been used in recent economic literature to justify nonlinear dynamics for the time paths of aggregate economic variables. In this paper, the mechanism through which heterogeneous agents leads to chaotic motion is explained. Adding to a system with initial behavior heterogeneity an adaptive learning rule based on discrete choice theory, one is able to encounter a reasonable explanation for nonlinear motion. The adaptive learning / bounded rationality rule is not the only ingredient necessary for the absence of a long run steady state; heterogeneity must also imply that the several behavior possibilities alternate as the best behavioral choice. Only in such circumstances heterogeneity persists and an unpredictable outcome is likely to arise. The paper develops two models. The first is a generic approach that exemplifies how heterogeneity concerning the volatility of two stochastic processes may lead to chaotic motion; the second is a utility maximization setup, where the source of heterogeneity is investment decisions.

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File URL: http://128.118.178.162/eps/ge/papers/0409/0409010.pdf
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Paper provided by EconWPA in its series GE, Growth, Math methods with number 0409010.

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Length: 18 pages
Date of creation: 28 Sep 2004
Date of revision:
Handle: RePEc:wpa:wuwpge:0409010
Note: Type of Document - pdf; pages: 18
Contact details of provider: Web page: http://128.118.178.162

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  1. Brock, W.A. & Hommes, C.H., 1996. "A Rational Route to Randomness," Working papers 9530r, Wisconsin Madison - Social Systems.
  2. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 1998. "The Perils of Taylor Rules," Working Papers 98-37, C.V. Starr Center for Applied Economics, New York University.
  3. James Bullard & John Duffy, 1994. "Using genetic algorithms to model the evolution of heterogeneous beliefs," Working Papers 1994-028, Federal Reserve Bank of St. Louis.
  4. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1999. "Monetary Policy and Multiple Equilibria," Departmental Working Papers 199914, Rutgers University, Department of Economics.
  5. Azariadis, Costas & Kaas, Leo, 2007. "Asset price fluctuations without aggregate shocks," Journal of Economic Theory, Elsevier, vol. 136(1), pages 126-143, September.
  6. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Chaotic Interest Rate Rules," Departmental Working Papers 200109, Rutgers University, Department of Economics.
  7. Marco Casari, 2003. "Does bounded rationality lead to individual heterogeneity? The impact of the experimentation process and of memory constraints," UFAE and IAE Working Papers 583.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  8. James Bullard & John Duffy, 1994. "A model of learning and emulation with artificial adaptive agents," Working Papers 1994-014, Federal Reserve Bank of St. Louis.
  9. Emilio Barucci, 1999. "Heterogeneous beliefs and learning in forward looking economic models," Journal of Evolutionary Economics, Springer, vol. 9(4), pages 453-464.
  10. Mordecai Kurz & Maurizio Motolese, 1999. "Endogenous Uncertainty and Market Volatility," Working Papers 1999.27, Fondazione Eni Enrico Mattei.
  11. Florian Wagener & Jan Tuinstra, 2004. "On Learning Equilibria," Computing in Economics and Finance 2004 217, Society for Computational Economics.
  12. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer, vol. 4(6), pages 877-900, October.
  13. Arifovic, Jasmina, 1994. "Genetic algorithm learning and the cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 3-28, January.
  14. Negroni, Giorgio, 2003. "Adaptive expectations coordination in an economy with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 117-140, October.
  15. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
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