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Fat tails and multi-scaling in a simple model of limit order markets

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  • Krause, Andreas

Abstract

We use a simple model where traders submit limit orders which are cleared in a double auction market. The limit prices are set by traders randomly, for buyers around a long-term trend and for sellers in a narrow band around their purchase price. Orders which are not filled within a specific time frame are randomly assigned a new limit price. In this framework we find evidence for the endogenous emergence of fat tails in the distribution of returns and multi-scaling whose origin is attributed to the market structure.

Suggested Citation

  • Krause, Andreas, 2006. "Fat tails and multi-scaling in a simple model of limit order markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 183-190.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:1:p:183-190
    DOI: 10.1016/j.physa.2005.12.038
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    Cited by:

    1. Xinyang Li & Andreas Krause, 2011. "An evolutionary multi‐objective optimization of trading rules in call markets," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 18(1), pages 1-14, January.
    2. Withanawasam, R.M. & Whigham, P.A. & Crack, Timothy Falcon, 2013. "Characterizing limit order prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5346-5355.
    3. Withanawasam, R.M. & Whigham, P.A. & Crack, T.F., 2013. "Characterising trader manipulation in a limit-order driven market," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 93(C), pages 43-52.
    4. Jiahua Wang & Hongliang Zhu & Dongxin Li, 2018. "Price Dynamics in an Order-Driven Market with Bayesian Learning," Complexity, Hindawi, vol. 2018, pages 1-15, November.
    5. Cerqueti, Roy & Giacalone, Massimiliano & Panarello, Demetrio, 2019. "A Generalized Error Distribution Copula-based method for portfolios risk assessment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 687-695.

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