权重无标度网络上财富分布的仿真研究

摘要

在权重无标度网络上进行演化囚徒困境博弈的模拟仿真,对财富分布和网络权重参数β的关系进行了研究,并引入经济学中的两个重要参数(基尼系数和帕累托指数)来分析此系统中财富分布的不平等性.实验数据表明,这两个参数与β密切相关,并且在β≈-1的时候财富分布的不平等达到最小值.进一步的研究发现,当-0.5<β<1的时候,实验数据与实证数据比较吻合,说明真实世界的β可能处于这个范围之间.%The accumulated wealth distribution of evolutionary prisoner's dilemma (PD) game on weighted scale-free networks is investigated, and the effect of the edge-weight's heterogeneity, which depends on the only one parameter β in our model, is studied extensively with both theoretical analysis and simulation. Moreover, two important parameters in economics (Gini coefficient and Pareto exponent) are employed to analyze the inequality of wealth distribution in the population. Numerical studies show that they both vary sensitively with the change of β and the disparity of wealth reaches its minimal value when β≈-1.