基于平均场理论的社会网络中行为扩散的研究  

Study on behavior diffusion in social networks based on mean-field theory

作　　者：张博[1,3] 王玉峰[2] 梁忠诚[3] 

机构地区：[1]南京邮电大学理学院,210046 [2]南京邮电大学光电工程学院,210046 [3]南京邮电大学通信与信息工程学院,210046

出　　处：《计算机工程与应用》2013年第16期53-56,共4页Computer Engineering and Applications

基　　金：国家自然科学基金面上项目(No.NSFC61171092)

摘　　要：在社会生活中,存在大量的用户之间相互影响相互协调并做出决策的事例,具有广泛的应用。深入研究了基于平均场理论的复杂社会网络中行为扩散模式。设计了特定的扩散模型,该模型考虑了采用某行为的邻居节点绝对数目、相对比率以及节点的总邻居数目对该节点选择行为的影响。采用平均场理论对扩散过程进行分析,研究了网络结构对行为扩散的影响,从理论上得出了如何选择门限值使新行为能够在社会网络中大规模传播成为可能。In our everyday social life, there exist many scenarios that users are affected by each other, and decisions are made collaboratively. This paper deeply investigates the behavior diffusion model and diffusion process in social network, based on mean-field theory. A specific diffusion model is desiged that can accommodate the impact of three factors on user＇ s probability of adopting one specific behavior： the absolute number and the ratio of neighbors adopting the behavior and the number of her total neighbors. Based on mean-field theory, the diffusion process is analytically provided, and the effect of network structure on behavior diffusion is also given. The necessary condition （critical threshold） for widespread diffusion is analyzed. The simula- tion results verify the theoretical analysis.

关 键 词：社会网络 平均场理论 行为扩散 门限值 

分 类 号：TP393.08[自动化与计算机技术—计算机应用技术]