The effect of investor psychology on the complexity of stock market: An analysis based on cellular automaton model

In this paper, using a developed cellular automaton model of the stock market, variables reflecting fractal and stability properties are introduced to describe complexity in the stock market; the concept of discrete level is defined to characterize market stability. Based on the model, the dependency of market complexity on the investors' imitation degree is investigated. The results show a clear correlation between investors' imitation degree and complexity of the stock market.

[1]  Gabor Korvin,et al.  Fractal models in the earth sciences , 1992 .

[2]  E. C. Chang,et al.  An Examination of Herd Behavior in Equity Markets: An International Perspective , 1999 .

[3]  J. Neumann The General and Logical Theory of Au-tomata , 1963 .

[4]  B. Mandelbrot Statistical Methodology for Nonperiodic Cycles: From the Covariance To R/S Analysis , 1972 .

[5]  H. E. Hurst,et al.  Long-Term Storage Capacity of Reservoirs , 1951 .

[6]  Yi-Ming Wei,et al.  The cellular automaton model of investment behavior in the stock market , 2003 .

[7]  J. Crutchfield,et al.  Turbulent pattern bases for cellular automata , 1993 .

[8]  Jerome H. Abrams,et al.  Modeling inert pulmonary gas exchange using cellular automata , 1999, Complex..

[9]  R. Huang,et al.  Following the Pied Piper: Do Individual Returns Herd around the Market? , 1995 .

[10]  Ying Shang Cellular automata based behavior simulation of stock market investment , 2001 .

[11]  G Sugihara,et al.  Applications of fractals in ecology. , 1990, Trends in ecology & evolution.

[12]  S. Wolfram Statistical mechanics of cellular automata , 1983 .

[13]  David Colander,et al.  The Economy as an Evolving Complex System III: Current Perspectives and Future Directions. Edited by LAWRENCE E. BLUME and STEVEN N. DURLAUF , 2007 .

[14]  Li Hong The Comparison Between the Shenzhen & ShanghaiStock Market and the Hong Kong Stock Market , 2002 .

[15]  Joalin P.-K. Lim,et al.  Modeling inert pulmonary gas exchange using cellular automata , 1999 .