Wealth accumulation with random redistribution.
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.
Huang
Ding-wei
DW
Department of Physics, Chung Yuan Christian University, Chung-li, Taiwan.