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将股市投资者和股票标的物视为网络节点,二者间的所有权关系视为网络连边;界定投资者投资能力和股票价格收益关联为上述两类网络节点的特征属性,运用基于节点属性的网络建模方法,构建股市投资广义网络及其扩展模型;通过模拟仿真,对网络度分布、簇系数和平均路径长度等统计参数及网络稳定性进行系统性解析。研究结果表明,股市投资广义网络和扩展网络均具有无标度特征和小世界特性。尤其是股市投资扩展网络节点度呈现双向幂律分布;簇系数大小相对平稳,基本不受网络规模影响;平均路径长度在网络规模呈对数增长情形下线性增加。同时,股市投资扩展网络在随机攻击策略下的稳定性较高,蓄意攻击策略下的稳定性较低。
The stockholder and stock subject matter are regarded as network nodes, and the ownership relationship between them is regarded as the network edge. The relationship between investors’ investment ability and stock price return is defined as the characteristic attribute of these two types of network nodes. Network modeling method to construct the generalized stock market investment network and its extended model. Through the simulation, the statistical parameters such as network degree distribution, cluster coefficient and average path length and network stability are systematically analyzed. The results show that both the generalized network and the extended network in the stock market have scale-free features and small-world features. In particular, the degree of node expansion in the stock market shows bidirectional power-law distribution. The size of the cluster coefficient is relatively stable, which is basically unaffected by the network size. The average path length increases linearly with a logarithmic increase in the network size. At the same time, the stability of the stock investment expansion network under random attack strategy is higher and the stability under deliberate attack strategy is lower.