Abstract: In this paper, social structure can be abstracted into three different network models, such as ER network, WS network and BA scale-free network. Based on this, the influence on wealth distribution of the social structure can be analyzed. From computer simulation and empirical research, compared to ER network and WS network, it is obtained that the BA scale-free network can describe the social structure well. The wealth distribution in this network fits the real society well. It can provide more wealth information for people. Furthermore, these results can offer important theoretical foundation for studying wealth accumulation, transformation and redistribution.

Key words: random network, small world network, scale-free network, social structure, wealth distribution

摘要： 将社会结构抽象化为随机网络（ER图）、小世界网络（WS网络）以及BA无标度网络三种不同的拓扑网络结构，分析了社会关系结构对社会财富分布规律的影响。通过模拟仿真以及实证研究得到，与ER随机网络以及WS网络相比，以BA无标度网络为基础的社会结构网络中的财富分布与真实社会中的财富分布规律是吻合的。因此说以BA无标度网络可以很好地刻画社会关系结构，其将为人类提供更多的财富信息，为进一步研究社会财富的累积、转移和重新分配提供了重要的理论基础。

关键词: 随机网络, 小世界网络, 无标度网络, 拓扑结构, 财富分布