Study on Evolvement Complexity in an Artificial Stock Market

Details Study on Evolvement Complexity in an Artificial Stock Market Study on Evolvement Complexity in an Artificial Stock Market

2004-06-07

arxiv.org/abs/cond-mat/0406168v2

Chin. Phys. Lett. 22, 1014(2005)

Physics

Condensed Matter

Other Condensed Matter

4 pages and 4 figures

Scientific paper

10.1088/0256-307X/22/4/065

An artificial stock market is established based on multi-agent . Each agent has a limit memory of the history of stock price, and will choose an action according to his memory and trading strategy. The trading strategy of each agent evolves ceaselessly as a result of self-teaching mechanism. Simulation results exhibit that large events are frequent in the fluctuation of the stock price generated by the present model when compared with a normal process, and the price returns distribution is L\'{e}vy distribution in the central part followed by an approximately exponential truncation. In addition, by defining a variable to gauge the "evolvement complexity" of this system, we have found a phase cross-over from simple-phase to complex-phase along with the increase of the number of individuals, which may be a ubiquitous phenomenon in multifarious real-life systems.

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