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Market Ecology, Pareto Wealth Distribution and Leptokurtic Returns in the LLS Stock Market Model

Author

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  • Sorin Solomon and Moshe Levy
Abstract
The LLS stock market model (for a review see the book in Academic Press 2000: "Microscopic Simulation of Financial Markets; From Investor Behavior to Market Phenomena" by Levy, Levy and Solomon, ISBN: 0124458904) is a model of heterogeneous quasi-rational investors operating in a complex environment about which they have incomplete information. We review the main features of this model and several of its extensions. We study the effects of investor heterogeneity and show that predation, competition, or symbiosis may occur between different investor populations. The dynamics of the LLS model lead to the empirically observed Pareto wealth distribution. Many properties observed in actual markets appear as natural consequences of the LLS dynamics: truncated Levy distribution of short-term returns, excess volatility, a return autocorrelation "U-shape" pattern, and a positive correlation between volume and absolute returns.

Suggested Citation

  • Sorin Solomon and Moshe Levy, 2001. "Market Ecology, Pareto Wealth Distribution and Leptokurtic Returns in the LLS Stock Market Model," Computing in Economics and Finance 2001 10, Society for Computational Economics.
    • Handle: RePEc:sce:scecf1:10
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    Keywords

    Agent based market simulation;

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • G - Financial Economics
    • Z - Other Special Topics

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