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Some new results on the Levy, Levy and Solomon microscopic stock market model

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  • Zschischang, Elmar
  • Lux, Thomas
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    Abstract

    We report some findings from our simulations of the Levy, Levy and Solomon microscopic stock market model. Our results cast doubts on some of the results published in the original papers (i.e., chaotic stock price movements). We also point out the possibility of sensitive dependence on initial conditions of the emerging wealth distribution among agents. Extensions of the model set-up show that with varying degrees of risk aversion, the less risk averse traders will tend to dominate the market. Similarly, when introducing a new trader group (or even a single trader) with a constant share of stocks in their portfolio, the latter will eventually take over and marginalize the other groups. The better performance of the more sober investors is in accordance with traditional perceptions in financial economics. Hence, the survival of ‘noise traders’ looking at short-term trends and patterns remains as much of a puzzle in this framework as in the traditional Efficient Market Theory.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437100006099
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 291 (2001)
    Issue (Month): 1 ()
    Pages: 563-573

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    Handle: RePEc:eee:phsmap:v:291:y:2001:i:1:p:563-573

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Stock market simulation; Microscopic model; Heterogeneous agents;

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    Cited by:
    1. Mikhail Anufriev, 2008. "Wealth-driven competition in a speculative financial market: examples with maximizing agents," Quantitative Finance, Taylor & Francis Journals, vol. 8(4), pages 363-380.
    2. Xue-Zhong He & Min Zheng, 2010. "Dynamics of Moving Average Rules in a Continuous-time Financial Market Model," Research Paper Series 268, Quantitative Finance Research Centre, University of Technology, Sydney.
    3. Anufriev, M. & Bottazzi, G., 2006. "Price and Wealth Dynamics in a Speculative Market with Generic Procedurally Rational Traders," CeNDEF Working Papers 06-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    4. 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.
    5. Youwei Li & Bas Donkers, 2004. "The Econometric Analysis of Microscopic Simulation Models," Computing in Economics and Finance 2004 195, Society for Computational Economics.
    6. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2011. "The dynamic behaviour of asset prices in disequilibrium: a survey," International Journal of Behavioural Accounting and Finance, Inderscience Enterprises Ltd, vol. 2(2), pages 101-139.
    7. Mikhail Anufriev & Pietro Dindo, 2007. "Wealth-driven Selection in a Financial Market with Heterogeneous Agents," LEM Papers Series 2007/27, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    8. Anufriev, Mikhail & Bottazzi, Giulio & Pancotto, Francesca, 2006. "Equilibria, stability and asymptotic dominance in a speculative market with heterogeneous traders," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1787-1835.
    9. Mikhail Anufriev & Giulio Bottazzi, 2006. "Behavioral Consistent Market Equilibria under Procedural Rationality," Computing in Economics and Finance 2006 225, Society for Computational Economics.

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