This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Dynamics of Beliefs and Learning Under aL Processes - The Heterogeneous Case

Author info | Abstract | Publisher info | Download info | Related research | Statistics
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)

Additional information is available for the following registered author(s):

Abstract

This paper studies a class of models in which agents' expectations influence the actual dynamics while the expectations themselves are the outcome of some recursive processes with bounded memory. Under the assumptions of heterogeneous expectations (or beliefs) and that the agents update their expectations by recursive L- and general aL-processes, the dynamics of the resulting expectations and learning schemes are analyzed. It is shown that the dynamics of the system, including stability, instability and bifurcation, are affected differently by the recursive processes. The cobweb model with a simple heterogeneous expectation scheme is employed as an example to illustrate the stability results, the various types of bifurcations and the routes to complicated price dynamics. In particular, the double edged effect of heterogeneity on the dynamics of the model is demonstrated.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help file. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.business.uts.edu.au/qfrc/research/research_papers/rp55.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 55.

Download reference. The following formats are available: HTML, plain text, BibTeX, RIS (EndNote), ReDIF
Length:
Date of creation: 01 Jun 2001
Date of revision:
Handle: RePEc:uts:rpaper:55

Contact details of provider:
Postal: PO Box 123, Broadway, NSW 2007, Australia
Phone: +61 2 9514 7777
Fax: +61 2 9514 7711
Web page: http://www.business.uts.edu.au/qfrc/index.html
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Duncan Ford).

Related research
Keywords: heterogeneous beliefs recursive L-process general aL-process stability instability bifucation cobweb model

Other versions of this item:

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. 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. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
  3. 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:
  4. Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
  5. 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)
  6. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December. [Downloadable!] (restricted)
    Other versions:
  7. 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)
  8. 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)
  9. Lux, Thomas, 1997. "Time variation of second moments from a noise trader/infection model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 1-38, November. [Downloadable!] (restricted)
  10. 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!]
    Other versions:
  11. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  12. Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July. [Downloadable!] (restricted)
  13. 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)
Full references

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. Carl Chiarella & Xue-Zhong He, 2001. "Dynamics of Beliefs and Learning Under aL Processes - The Homogeneous Case," Research Paper Series 53, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
  2. Li, Youwei & Donkers, Bas & Melenberg, Bertrand, 2006. "The non- and semiparametric analysis of MS models : some applications," Discussion Paper 95, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Xue-Zhong (Tony) He & Carl Chiarella, 2001. "Asset Price and Wealth Dynamics under Heterogeneous Expectations," CeNDEF Workshop Papers, January 2001 5A.2, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    Other versions:
  4. Carl Chiarella & Xue-Zhong He & Cars Hommes, 2004. "A Dynamic Analysis of Moving Average Rules," Research Paper Series 133, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  5. Xue-Zhong He & Frank H. Westerhoff, 2004. "Commodity Markets, Price Limiters and Speculative Price Dynamics," Research Paper Series 136, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  6. Li, Youwei & Donkers, Bas & Melenberg, Bertrand, 2006. "The econometric analysis of microscopic simulation models," Discussion Paper 99, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  7. Henrik Amilon, 2003. "Estimation of an Adaptive Stock Market Model with Heterogeneous Agents," Research Paper Series 107, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
  8. Maciej K. Dudek, 2005. "Expectation Formation and Endogenous Fluctuations in Aggregate Demand," Computing in Economics and Finance 2005 263, Society for Computational Economics. [Downloadable!]
    Other versions:
  9. Lux, Thomas, 2006. "Financial power laws : empirical evidence, models, and mechanism," Economics working papers 2006,12, Christian-Albrechts-University of Kiel, Department of Economics. [Downloadable!]
  10. Frank Westerhoff, 2004. "The effectiveness of Keynes-Tobin transaction taxes when heterogeneous agents can trade in different markets: A behavioral finance approach," Computing in Economics and Finance 2004 14, Society for Computational Economics. [Downloadable!]
    Other versions:
  11. Xue-Zhong He, 2003. "Asset Pricing, Volatility and Market Behaviour: A Market Fraction Approach," Research Paper Series 95, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
  12. Carl Chiarella & Xue-Zhong He & Peiyuan Zhu, 2003. "Fading Memory Learning in the Cobweb Model with Risk Averse Heterogeneous Producers," Research Paper Series 108, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  13. Xue-Zhong He & Youwei Li, 2005. "Heterogeneity, Profitability and Autocorrelations," Research Paper Series 147, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  14. Amilon, Henrik, 2005. "Estimation of an Adaptive Stock Market Model with Heterogeneous Agents," Working Paper Series 177, Sveriges Riksbank (Central Bank of Sweden). [Downloadable!]
Statistics
Access and download statistics

Did you know? Over 800 institutions contribute their bibliographic data directly to this service.

This page was last updated on 2008-10-3.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.