Skip to main content

A Simple Micro-Model of Market Dynamics

  • Conference paper
The Complex Dynamics of Economic Interaction

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 531))

  • 235 Accesses

Summary

We present a simple agent based model aimed at the qualitative description of trading activity in a “stylized” financial market. A two assets economy is considered, with a bond providing a riskless constant return and a risky stock, paying constant dividends, whose price is fixed via Walrasian auction. The market participants are speculators described as myopic utility maximizers provided with limited forecasting ability. If one varies the parameters describing the market and the agents behavior, the model presents many distinct “phases”. In particular, the no-arbitrage “fundamental” price can emerge as a stable fixed point, while for different parameterizations the market shows chaotic dynamics with speculative bubbles and crashes.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Akerlof G.A., and Yellen J.L. (1985) Can Small Deviations from Rationality Make Significant Differences in Economic. Equilibria American Economic Review 75,4 pp. 708–720

    Google Scholar 

  2. Arthur, W.B., (1994) Inductive reasoning and bounded rationality. American Economic Review Papers and Proc, 84, 406–412.

    Google Scholar 

  3. Arthur W. B., Holland J. H., LeBaron B., Palmer R., Tayler P. (1997) Asset Pricing under Endogenous Expectations in an Artificial Stock Market. In: Arthur W. B., Durlauf S. N., Lane D.A. (eds) The Economy as an Evolving Complex System II. Addison-Wesley.

    Google Scholar 

  4. Bottazzi G. (2002) A Simple Micro-Model of Market Dynamics, Part I:The “Homogenous Agents” Deterministic Limit. L.E.M. Working Paper, Sant’Anna School of Advanced Studies

    Google Scholar 

  5. Bottazzi G. (2002) A Simple Micro-Model of Market Dynamics, Part II: Noisy Dynamics and Heterogenous Agents. L.E.M. Working Paper, Sant’Anna School of Advanced Studies (in preparation)

    Google Scholar 

  6. Brock W.A. and Hommes C. H. (1998) Heterogeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model. Journal of Economic Dynamics and Control 22, pp. 1235–1274

    Article  Google Scholar 

  7. Brock W.A. and Hommes C. H. (2001) An Asset Pricing Model with Heterogeneous Beliefs and Price Contingent Contracts. CeNDEF Working Paper, Amsterdam.

    Google Scholar 

  8. Chiaromonte F., Dosi G. and Jonard N. (1999) A Speculative Centralized Asset Market with Adaptive Heterogenous Agents. HASA Working Paper.

    Google Scholar 

  9. Eckmann J.P. and Ruelle D. (1985) Ergodic theory of chaos and strange attractors. Reviews of Modern Physics 57:617–656.

    Article  Google Scholar 

  10. Elton J.E. and Gruber M.J. (1981) Modern Portfolio Theory and Investment Analysis. Jhon Wiley & Sons, New York

    Google Scholar 

  11. Farmer D.J. (1998) Market Force, Ecology and Evolution. Industrial and Corpore Change, forthcoming.

    Google Scholar 

  12. Fama E. and Miller M.H. (1972) The Theory of Finance. Dryden Press, Illinois

    Google Scholar 

  13. Gaunersdorfer A. (2000) Endogenous fluctuations in a simple asset pricing model with heterogeneous beliefs. Journal of Economic Dynamics and Control 24:799–831

    Article  Google Scholar 

  14. Hirsh M.W., Smale S. (1970) Differential Equations, Dynamical Systems, and Linear Algebra. Academic Press, New York.

    Google Scholar 

  15. Hommes, C.H. (2001) Financial markets as nonlinear adaptive evolutionary systems. Quantitative Finance 1:149–167

    Article  Google Scholar 

  16. Katok A. and Hasselblatt B. (1995) Introduction to the Modern Theory of Dynamical Systems. Cambridge Univerist Press, Cambridge, U.K.

    Google Scholar 

  17. Kirman A. and Teyssiere G. (2002) Bubbles and Long Range Dependence in Asset Prices Volatilities, forthcoming in Hommes C., Ramer R. and Withagen C. (eds) Markets and Dynamics.

    Google Scholar 

  18. LeBaron B. (2001) Empirical Regularities from Interacting long and Short Memory Investors in an agent Based Stock Market. IEEE Transaction on Evolutionary Computation

    Google Scholar 

  19. Levy H., Markowitz H.M. (1984) Approximate Expected Utility by a Function of Mean and Variance. American Economic Review 69:308–317

    Google Scholar 

  20. Levy M., Levy H., Solomon S. (2000) Microscopic Simulation of Financial Markets, Academic Press, London

    Google Scholar 

  21. Levy M., Levy H., Solomon S. (1994) A Microscopic Model of the Stock Market. Economics Letters 45:103–111

    Article  Google Scholar 

  22. Lux T. (1995) Herd Behaviour, Bubbles and Crashes. The Economic Journal 105:881–896

    Article  Google Scholar 

  23. RiskMetrics Technical Document, JPMorgan

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bottazzi, G. (2004). A Simple Micro-Model of Market Dynamics. In: Gallegati, M., Kirman, A.P., Marsili, M. (eds) The Complex Dynamics of Economic Interaction. Lecture Notes in Economics and Mathematical Systems, vol 531. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17045-4_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17045-4_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40497-2

  • Online ISBN: 978-3-642-17045-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics