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Volatility, Heterogeneous Agents and Chaos

Listed author(s):
  • 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://econwpa.repec.org/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
Handle: RePEc:wpa:wuwpge:0409010
Note: Type of Document - pdf; pages: 18
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Bennett T. McCallum, 2002. "Consistent Expectations, Rational Expectations, Multiple-Solution Indeterminacies, and Least-Squares Learnability," NBER Working Papers 9218, National Bureau of Economic Research, Inc.
  2. Paul M. Romer, 2000. "Thinking and Feeling," American Economic Review, American Economic Association, vol. 90(2), pages 439-443, May.
  3. Hommes, Cars & Sonnemans, Joep & Tuinstra, Jan & van de Velden, Henk, 2005. "A strategy experiment in dynamic asset pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 823-843, April.
  4. Chryssi Giannitsarou, 2003. "Heterogeneous Learning," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 885-906, October.
  5. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
  6. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(6), pages 877-900, October.
  7. Evans, George W. & Guesnerie, Roger, 2003. "Coordination On Saddle-Path Solutions: The Eductive Viewpoint Linear Univariate Models," Macroeconomic Dynamics, Cambridge University Press, vol. 7(01), pages 42-62, February.
  8. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
  9. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
  10. Chiarella, Carl & He, Xue-Zhong, 2002. "Heterogeneous Beliefs, Risk and Learning in a Simple Asset Pricing Model," Computational Economics, Springer;Society for Computational Economics, vol. 19(1), pages 95-132, February.
  11. Bullard, James & Duffy, John, 1999. "Using Genetic Algorithms to Model the Evolution of Heterogeneous Beliefs," Computational Economics, Springer;Society for Computational Economics, vol. 13(1), pages 41-60, February.
  12. Honkapohja, Seppo & Mitra, Kaushik, 2005. "Performance of monetary policy with internal central bank forecasting," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 627-658, April.
  13. McGough, Bruce, 2003. "Statistical Learning With Time-Varying Parameters," Macroeconomic Dynamics, Cambridge University Press, vol. 7(01), pages 119-139, February.
  14. Bullard, James & Duffy, John, 1998. "A model of learning and emulation with artificial adaptive agents," Journal of Economic Dynamics and Control, Elsevier, vol. 22(2), pages 179-207, February.
  15. Sargent, Thomas J., 1993. "Bounded Rationality in Macroeconomics: The Arne Ryde Memorial Lectures," OUP Catalogue, Oxford University Press, number 9780198288695, April.
  16. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, Oxford University Press, vol. 69(1), pages 99-118.
  17. Alan P. Kirman, 1992. "Whom or What Does the Representative Individual Represent?," Journal of Economic Perspectives, American Economic Association, vol. 6(2), pages 117-136, Spring.
  18. De Grauwe, Paul & Grimaldi, Marianna, 2005. "Heterogeneity of agents, transactions costs and the exchange rate," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 691-719, April.
  19. Daniel Kahneman, 2003. "Maps of Bounded Rationality: Psychology for Behavioral Economics," American Economic Review, American Economic Association, vol. 93(5), pages 1449-1475, December.
  20. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
  21. Manzan, Sebastiano & Westerhoff, Frank, 2005. "Representativeness of news and exchange rate dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 677-689, April.
  22. Emilio Barucci, 1999. "Heterogeneous beliefs and learning in forward looking economic models," Journal of Evolutionary Economics, Springer, vol. 9(4), pages 453-464.
  23. 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.
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