基于动态随机配对演化网络模型的网络结构、稳定性和有效性

The Research on the Network Structure and Stability and Effectiveness Based on Dynamic Random Mating Network Evolution Model

通过网络图描述网络关系的拓扑结构,利用成本——收益方法分析了网络的形成演化过程;假设利己的网络成员结点能够联结或中断联结时,基于动态随机配对演化网络模型建立网络的拓扑结构模型研究了网络的静态结构、动态演化、稳定性和有效性及其关系.同时用联结模型,刻画了稳定网络和有效网络的特征和条件.根据Jackson和Wolinsky等人的已有研究框架,提出了网络形成中的退出成本和补偿成本的概念,修正了稳定网络和有效网络的界定,论证了在网络的演化过程中,若有退出成本和补偿成本,则稳定网络的范围会扩大,相关网络的稳定性和有效性的一致性会增强,但网络的稳定性和有效性不总是兼容的.Jackson和Wolinsky等人的研究结果是此研究结果的特例.

Through the network diagram describes the topology structure of the network relationship.This paper analyzes the network formation processes using cost-income and establish the topology structure of the network model of the static and the dynamic network evolution,the stabiUty and the validity and their relationship suppose that selfish network members node can connecting or interrupt its coupling based on dynamic random mating network evolution model.At the same time,it depict the features and conditions of the stable network and effective network using the connect model.According to Wolinsky Jackson and the existing research framework,puts forward the concept of the exit post and compensation costs in the network formation,revise the definition of a stable and effective network,demonstrates that the scope of the stable network will expand,the consistency will enhance between the relevant network stability and the effectiveness in the process of network evolution.But the network stability and the validity is not always compatible.