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Population and Asset Distributions in Economically Competitive Activities: a Rate-Equation Approach |
KE Jian-Hong;CAI Xiao-Ou;LIN Zhen-Quan |
School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027 |
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Cite this article: |
KE Jian-Hong, CAI Xiao-Ou, LIN Zhen-Quan 2004 Chin. Phys. Lett. 21 1216-1219 |
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Abstract We introduce a simple asset migration model for the wealth redistribution in economical activities, in which a unit of asset migrates from one individual to another whenever they interact. By means of the mean-field rate equation, we have analysed the dynamic behaviour of the system. In the random migration case, the asset distribution of individuals takes the standard Gaussian form and consistently decreases to zero at the end. As for the system in which only the richer can gain assets from the poorer, it is found that the individual asset distribution is discontinuous at a critical point and only the individuals with asset absolute value less than a cutoff value have a uniform and non-zero distribution. Moreover, the result shows that for the system with migration bias the assets of the individuals may have a cutoff value at each given time, which is different from the system without migration bias.
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Keywords:
05.40.-a
89.65.-s
82.20.-w
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Published: 01 July 2004
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PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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89.65.-s
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(Social and economic systems)
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82.20.-w
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(Chemical kinetics and dynamics)
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