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Phys. Rev. E 69, 057103 (2004) [4 pages]

Wealth accumulation with random redistribution

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Ding-wei Huang
Department of Physics, Chung Yuan Christian University, Chung-li, Taiwan

Received 6 October 2003; published 25 May 2004

We study the wealth distribution in random multiplicative processes with random redistribution. The equilibrium distribution can be extended to the negative wealth. The extreme wealths follow power law distributions and the same exponent is found for both the large wealths and the large debts. We propose a mean-field model to emphasize the fluctuations in the thermodynamic limit. The exact solution can be obtained analytically.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.057103
DOI:
10.1103/PhysRevE.69.057103
PACS:
05.70.Fh, 89.65.Gh, 89.75.Da