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Finite-size effects in Monte Carlo simulations of two stock market models

Author

Listed:
  • Egenter, E.
  • Lux, T.
  • Stauffer, D.

Abstract

The microscopic market models of Kim–Markowitz and of Lux–Marchesi are simulated for varying number of investors. If this number goes to infinity, in some quantities nearly periodic oscillations occur.

Suggested Citation

  • Egenter, E. & Lux, T. & Stauffer, D., 1999. "Finite-size effects in Monte Carlo simulations of two stock market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(1), pages 250-256.
  • Handle: RePEc:eee:phsmap:v:268:y:1999:i:1:p:250-256
    DOI: 10.1016/S0378-4371(99)00059-X
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    Citations

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    Cited by:

    1. LeBaron, Blake, 2001. "Evolution And Time Horizons In An Agent-Based Stock Market," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 225-254, April.
    2. Rothenstein, R & Pawelzik, K, 2003. "Evolution and anti-evolution in a minimal stock market model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 326(3), pages 534-543.
    3. Alfarano, Simone & Lux, Thomas & Wagner, Friedrich, 2008. "Time variation of higher moments in a financial market with heterogeneous agents: An analytical approach," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 101-136, January.
    4. Brock, William A. & Hommes, Cars H. & Wagener, Florian O. O., 2005. "Evolutionary dynamics in markets with many trader types," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 7-42, February.
    5. A. Corcos & J-P Eckmann & A. Malaspinas & Y. Malevergne & D. Sornette, 2002. "Imitation and contrarian behaviour: hyperbolic bubbles, crashes and chaos," Quantitative Finance, Taylor & Francis Journals, vol. 2(4), pages 264-281.
    6. LeBaron, Blake, 2006. "Agent-based Computational Finance," Handbook of Computational Economics,in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 24, pages 1187-1233 Elsevier.
    7. repec:wsi:acsxxx:v:14:y:2011:i:03:n:s0219525911002949 is not listed on IDEAS
    8. Thomas Lux, 2008. "Stochastic Behavioral Asset Pricing Models and the Stylized Facts," Working Papers wp08-03, Warwick Business School, Finance Group.
    9. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2001. "Microscopic Models of Financial Markets," Papers cond-mat/0110354, arXiv.org.
    10. Liu, Yi-Fang & Zhang, Wei & Xu, Hai-Chuan, 2014. "Collective behavior and options volatility smile: An agent-based explanation," Economic Modelling, Elsevier, vol. 39(C), pages 232-239.
    11. Hommes, C.H., 2005. "Heterogeneous Agent Models in Economics and Finance, In: Handbook of Computational Economics II: Agent-Based Computational Economics, edited by Leigh Tesfatsion and Ken Judd , Elsevier, Amsterdam 2006," CeNDEF Working Papers 05-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    12. Domenico Colucci & Vincenzo Valori, 2008. "Asset Price Dynamics When Behavioural Heterogeneity Varies," Computational Economics, Springer;Society for Computational Economics, vol. 32(1), pages 3-20, September.
    13. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics,in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
    14. Blaurock, Ivonne & Schmitt, Noemi & Westerhoff, Frank, 2017. "Market entry waves and volatility outbursts in stock markets," BERG Working Paper Series 128, Bamberg University, Bamberg Economic Research Group.
    15. Friedman, Daniel & Abraham, Ralph, 2008. "Bubblesandcrashes:Gradientdynamicsinï¬ nancial markets," Santa Cruz Department of Economics, Working Paper Series qt3905j8kq, Department of Economics, UC Santa Cruz.
    16. Lux, Thomas & Schornstein, Sascha, 2005. "Genetic learning as an explanation of stylized facts of foreign exchange markets," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 169-196, February.
    17. Thomas Lux, 2009. "Applications of Statistical Physics in Finance and Economics," Chapters,in: Handbook of Research on Complexity, chapter 9 Edward Elgar Publishing.
    18. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.
    19. Alfarano, Simone & Milakovic, Mishael, 2009. "Network structure and N-dependence in agent-based herding models," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 78-92, January.
    20. Albrecht Irle & Jonas Kauschke & Thomas Lux & Mishael Milaković, 2011. "Switching Rates And The Asymptotic Behavior Of Herding Models," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 359-376.
    21. Lux, Thomas, 2006. "Financial power laws: Empirical evidence, models, and mechanism," Economics Working Papers 2006-12, Christian-Albrechts-University of Kiel, Department of Economics.
    22. Zawadowski, A.G & Karádi, R & Kertész, J, 2002. "Price drops, fluctuations, and correlation in a multi-agent model of stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 403-412.
    23. Friedman, Daniel & Abraham, Ralph, 2009. "Bubbles and crashes: Gradient dynamics in financial markets," Journal of Economic Dynamics and Control, Elsevier, vol. 33(4), pages 922-937, April.

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