Skip to main content
Log in

Majority orienting model for the oscillation of market price

  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract

The present paper introduces a majority orienting model in which the dealers’ behavior changes based on the influence of the price to show the oscillation of stock price in the stock market. We show the oscillation of the price for the model by applying the van der Pol equation which is a deterministic approximation of our model.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Aoki, New Approaches to Macroeconomic Modeling (Cambridge University Press, New York, 1996)

  2. K. Binder, D.W. Heermann, Monte Carlo Simulation in Statistical Physics, 2nd edn. (Springer, Berlin Heidelberg, 1997)

  3. R. Cont, J.P. Bouchaud, Macroeconomic Dynamics 4, 170 (2000)

    Article  MATH  Google Scholar 

  4. H.M. Tayler, S. Karlin An Introduction to Stochastic Modeling, 3rd edn. (Academic Press, San Diego, 1998)

  5. G. Iori, J. Economic behavior & Org. 49, 269 (2002)

    Article  Google Scholar 

  6. Y. Itoh, S. Ueda, The Institute of Statistical Mathematics Research Memorandum, No. 753 (2000). Preprint available at http://xxx.lanl.gov/abs/nlin.AO/0106006

  7. E.A. Jackson, Perspectives of Nonlinear Dynamics (Cambridge University Press, Cambridge, 1989)

  8. M. Matsumoto, T. Nishimura, ACM Trans. Modeling Computer Simulation 8, 3 (1998), C and Fortran codes are available at http://www.math.keio.ac.jp/| |matumoto/emt.html

    Article  MATH  Google Scholar 

  9. T. Lux, M. Marchesi, Nature 397, 498 (1999)

    Article  ADS  Google Scholar 

  10. T. Ozaki, Int. J. Control 57, 75 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  11. J.E. Stiglitz, Microeconomics, 2nd edn. (W.W. Norton & Company, Inc., 1997)

  12. H. Takahashi, The Institute of Statistical Mathematics Research Memorandum, No. 853 (2002)

  13. W. Weidlich, Br. J. Math. Stat. Psychol. 27, 251 (1971)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Takahashi.

Additional information

Received: 29 October 2003, Published online: 15 March 2004

PACS:

89.65.Gh Economics; econophysics, financial markets, business and management - 05.45.Tp Time series analysis - 02.50.Ey Stochastic processes

Y. Itoh: Also at The Graduate University for Advanced Studies

Rights and permissions

Reprints and permissions

About this article

Cite this article

Takahashi, H., Itoh, Y. Majority orienting model for the oscillation of market price. Eur. Phys. J. B 37, 271–274 (2004). https://doi.org/10.1140/epjb/e2004-00054-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2004-00054-8

Keywords

Navigation