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Cluster behavior of a simple model in financial markets

Author

Listed:
  • Jiang, J.
  • Li, W.
  • Cai, X.

Abstract

We investigate the cluster behavior of financial markets within the framework of a model based on a scale-free network. In this model, a cluster is formed by connected agents that are in the same state. The cumulative distribution of clusters is found to be a power-law. We find that the probability distribution of the liquidity parameter, which measures the financial markets’ energy, is rather robust. Furthermore, the time series of the liquidity parameter have the characteristics of 1/f noise, which may indicate the fractal geometry of financial markets.

Suggested Citation

  • Jiang, J. & Li, W. & Cai, X., 2008. "Cluster behavior of a simple model in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 528-536.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:2:p:528-536
    DOI: 10.1016/j.physa.2007.09.030
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    Cited by:

    1. Xiao, Di & Wang, Jun, 2012. "Modeling stock price dynamics by continuum percolation system and relevant complex systems analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4827-4838.
    2. Ma, Yuan-yuan & Zhuang, Xin-tian & Li, Ling-xuan, 2011. "Research on the relationships of the domestic mutual investment of China based on the cross-shareholding networks of the listed companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 749-759.
    3. Tu, Chengyi, 2014. "Cointegration-based financial networks study in Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 245-254.

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