基于局域网络的加权财富演化模型

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.

Weighted wealth evolving model based on local-world network

Based on the complex network theory, a local-world evolving weighted wealth network model is constructed, which considers local connection, cost and income distribution. By applying the rate equations, the kinetic equations of degree and wealth are obtained. Then, through the analysis of cluster coefficient, degree correlation, wealth distribution and wealth entropy, it is found that the wealth model is a negative network. The network displays wealth imbalance, and the wealth heterogeneity possesses a positive association with the structure parameter r as well as a negative association with M. Finally, an example is given to illustrate and validate the proposed conclusion.