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Stability of Competitive Equilibria with Heterogeneous Beliefs and Learning

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Author Info
Carl Chiarella () (School of Finance and Economics, University of Technology, Sydney)
Xue-Zhong He () (School of Finance and Economics, University of Technology, Sydney)

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Abstract

The paper studies a class of models in which agents' expectations influence the actual dynamics while the expectations themselves are the outcome of some learning processes. Situations of both homogeneous and heterogeneous beliefs are considered. In both cases agents update their expectations by general ah - and least-squares h-processes and the stability of the resulting dynamics in both cases is analysed. It is shown how the stability of the actual dynamics is affected by the heterogeneous expectations and different least-squares h-processes.

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File URL: http://www.business.uts.edu.au/qfrc/research/research_papers/rp37.pdf
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Publisher Info
Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 37.

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Date of creation: 01 Mar 2000
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Handle: RePEc:uts:rpaper:37

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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. 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. [Downloadable!] (restricted)
  2. Day, Richard H. & Huang, Weihong, 1990. "Bulls, bears and market sheep," Journal of Economic Behavior & Organization, Elsevier, vol. 14(3), pages 299-329, December. [Downloadable!] (restricted)
    Other versions:
  3. Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
  4. Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, School of Finance and Economics, University of Technology, Sydney. [Downloadable!]
  5. Reiner Franke & Tim Nesemann, 1999. "Two destabilizing strategies may be jointly stabilizing," Journal of Economics, Springer, vol. 69(1), pages 1-18, February. [Downloadable!] (restricted)
  6. James Bullard, 1991. "Learning equilibria," Working Papers 1991-004, Federal Reserve Bank of St. Louis. [Downloadable!]
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  7. Hommes, Cars H., 1991. "Adaptive learning and roads to chaos : The case of the cobweb," Economics Letters, Elsevier, vol. 36(2), pages 127-132, June. [Downloadable!] (restricted)
  8. Barucci, Emilio & Bischi, Gian Italo & Gardini, Laura, 1999. "Endogenous Fluctuations in a Bounded Rationality Economy: Learning Non-perfect Foresight Equilibria," Journal of Economic Theory, Elsevier, vol. 87(1), pages 243-253, July. [Downloadable!] (restricted)
  9. Franke, Reiner & Sethi, Rajiv, 1998. "Cautious trend-seeking and complex asset price dynamics," Research in Economics, Elsevier, vol. 52(1), pages 61-79, March. [Downloadable!] (restricted)
  10. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January. [Downloadable!] (restricted)
  11. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August. [Downloadable!] (restricted)
  12. Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October. [Downloadable!] (restricted)
  13. repec:att:wimass:19976 is not listed on IDEAS
  14. Evans, George W & Ramey, Garey, 1992. "Expectation Calculation and Macroeconomic Dynamics," American Economic Review, American Economic Association, vol. 82(1), pages 207-24, March. [Downloadable!] (restricted)
  15. Evans, George W. & Honkapohja, Seppo, 1999. "Learning dynamics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 7, pages 449-542 Elsevier. [Downloadable!] (restricted)
  16. Bullard, James & Duffy, John, 1999. "Using Genetic Algorithms to Model the Evolution of Heterogeneous Beliefs," Computational Economics, Springer, vol. 13(1), pages 41-60, February. [Downloadable!]
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  17. Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August. [Downloadable!] (restricted)
  18. repec:att:wimass:199530r is not listed on IDEAS
  19. Balasko, Yves & Royer, Daniel, 1996. "Stability of Competitive Equilibrium with Respect to Recursive and Learning Processes," Journal of Economic Theory, Elsevier, vol. 68(2), pages 319-348, February. [Downloadable!] (restricted)
    Other versions:
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  1. repec:att:wimass:192017 is not listed on IDEAS
  2. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2002. "Evolutionary dynamics in markets with many trader types," CeNDEF Working Papers 02-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
    Other versions:
  3. Vivaldo M. Mendes & Diana A. Mendes, 2006. "Active Interest Rate Rules and the Role of Stabilization Policy R&D Tax Credits," Working Papers ercwp0208, ISCTE, UNIDE, Economics Research Centre. [Downloadable!]
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