Wealth distribution on complex networks

被引：8
作者：
Ichinomiya, Takashi [1 ,2 ]
机构：
[1] Gifu Univ, Grad Sch Med, Dept Biomed Informat, Gifu 5011194, Japan
[2] Japan Sci & Technol Agcy, PRESTO, Kawaguchi, Saitama 3320012, Japan
来源：
PHYSICAL REVIEW E | 2012年 / 86卷 / 06期
关键词：
DYNAMICS;
D O I：
10.1103/PhysRevE.86.066115
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We study the wealth distribution of the Bouchaud-Mezard model on complex networks. It is known from numerical simulations that this distribution depends on the topology of the network; however, no one has succeeded in explaining it. Using "adiabatic" and "independent" assumptions along with the central-limit theorem, we derive equations that determine the probability distribution function. The results are compared to those of simulations for various networks. We find good agreement between our theory and the simulations, except for the case of Watts-Strogatz networks with a low rewiring rate due to the breakdown of independent assumption. DOI: 10.1103/PhysRevE.86.066115
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页数：5
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