基于复杂网络的财富分布的仿真研究

基于网络结构对财富增长的影响, 针对财富动态增长性及其重分机制, 定义影响力系数, 提出一类财富总值不断增长的网络模型. 应用系统方程得到财富总值、节点度以及累积财富的时变方程. 经过具体分析可知, 影响力系数可调节节点度对财富增长的影响力度, 它对网络结构和累积财富值影响很大. 数值仿真表明, 调节影响力系数可降低基尼系数, 促使财富分布更趋近于均匀化, 且在一定条件下节点度与累积财富呈近似线性关系.

Simulation and analysis of wealth distribution based on complex network

Based on the influences of network structure on wealth growths, for the character of wealth increasing and the
mechanism of wealth redistribution, a definition of an influence coefficient is given, and a network model of the wealth growth is proposed. System equations are used to obtain the time-varying equations of the total wealth, degree and cumulated wealth. Analysis results show that the influence coefficient can adjust the impacts of the node degree on the wealth growth, and has great effects on the network structure and cumulated wealth. Numerical simulations show that the influence coefficient can reduce Gini index and make the wealth distribution more even, and the cumulated wealth is linear with the node degree in a certain condition.