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基于复杂网络理论,考虑到局部连接、成本以及收益分配,构建一个基于局域网络的加权财富演化模型.首先应用率方程法推导出节点度分布和财富分布的动力学方程,理论分析和数值仿真表明,网络模型的节点度与财富值均符合幂律分布;然后,通过分析聚集系数、度相关性、财富分布以及财富熵等统计量,发现该网络是一个负向匹配网络,网络中的财富分布是不均衡的,个体间财富异质性与结构参数r以及M相关;最后结合实证进行了说明和验证.
Based on the theory of complex networks, considering the local connection, cost and revenue distribution, we construct a weighted wealth evolution model based on LAN.Firstly, the dynamic equations of degree distribution and wealth distribution are deduced by using the rate equation method, and the theoretical analysis and numerical simulation show that , The node degree and the wealth value of the network model all fit the power law distribution. Then, by analyzing the statistics of aggregation coefficient, degree correlation, wealth distribution and wealth entropy, it is found that the network is a negative matching network. The distribution of wealth in the network Is unbalanced, and the heterogeneity of wealth among individuals is related to the structural parameters r and M; Finally, the empirical analysis and verification are carried out.