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Time series analysis for minority game simulations of financial markets

Author

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  • Ferreira, Fernando F
  • Francisco, Gerson
  • Machado, Birajara S
  • Muruganandam, Paulsamy

Abstract

The minority game (MG) model introduced recently provides promising insights into the understanding of the evolution of prices, indices and rates in the financial markets. In this paper we perform a time series analysis of the model employing tools from statistics, dynamical systems theory and stochastic processes. Using benchmark systems and a financial index for comparison, several conclusions are obtained about the generating mechanism for this kind of evolution. The motion is deterministic, driven by occasional random external perturbation. When the interval between two successive perturbations is sufficiently large, one can find low dimensional chaos in this regime. However, the full motion of the MG model is found to be similar to that of the first differences of the SP500 index: stochastic, nonlinear and (unit root) stationary.

Suggested Citation

  • Ferreira, Fernando F & Francisco, Gerson & Machado, Birajara S & Muruganandam, Paulsamy, 2003. "Time series analysis for minority game simulations of financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 619-632.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:3:p:619-632
    DOI: 10.1016/S0378-4371(02)01733-8
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    2. Crepaldi, Antonio F. & Neto, Camilo Rodrigues & Ferreira, Fernando F. & Francisco, Gerson, 2009. "Multifractal regime transition in a modified minority game model," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1364-1371.
    3. Mihailović, D.T. & Nikolić-Đorić, E. & Drešković, N. & Mimić, G., 2014. "Complexity analysis of the turbulent environmental fluid flow time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 96-104.

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    Keywords

    Minority game model; SP500 index; Nonlinearity; Complexity;
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