Superstatistics in Econophysics

Yoshikazu Ohtaki and Hiroshi H. Hasegawa

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Abstract: We consider an ideal closed stock market, in which 100 traders have economic activities. The assets of the traders change through buying and selling stocks. We simulate the assets under conservation of both total currency and total number of stocks. If the traders are identical, then the assets are distributed as a stationary Gaussian. When variety among the traders makes winners and losers, the asset distribution displays power law scaling such as the Pareto law. We discuss this power law scaling from the point of view of superstatistics. It is given as a superposition of scaled distributions for each hierarchical level. The various traders have the same growth rate distribution to keep the scaling.

Date: 2003-12
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