异质阈值决策规则下的复杂网络扩散  

Modeling Heterogenous Threshold Rule Based Innovation Diffusion

作　　者：肖宇[1] 韩景倜[2,3] 

机构地区：[1]上海对外经贸大学商务信息学院,上海201620 [2]上海财经大学信息管理与工程学院,上海200433 [3]上海财经大学实验中心,上海200433

出　　处：《复杂系统与复杂性科学》2016年第3期47-56,57,共11页Complex Systems and Complexity Science

基　　金：国家自然科学基金(71271126);教育部博士点专项科研基金(20120078110002);教育部人文社会科学研究规划基金(15YJCZH201);上海财经大学第六批研究生科研创新基金(CXJJ-2012-427);上海市教育委员会科研创新项目(14YZ134)

摘　　要：基于异质阈值模型和平均场理论刻画了社会网络扩散,分析了邻居效应、阈值分布和网络度分布对扩散的影响。结果表明:邻居效应或阈值分布均值的减小将加速扩散及增大均衡状态值,阈值分布方差的减小将减缓初始扩散,且满足一定条件下,将加速扩散收尾过程;邻居效应较弱时,度分布异质性的增加将加速初始扩散,反之亦然;邻居效应和阈值分布满足一定条件时,扩散初始速度将呈现出超指数增长;邻居效应、阈值分布或度分布的变化均可使扩散均衡状态值发生跳跃式增长。Based on heterogenous threshold model and mean‐field theory ,we analyse the impact of neighbor effect ,threshold distribution and degree distribution on the diffusion process and equi‐librium .The result shows that the decrease in neighbor effect or the mean of threshold distribu‐tion would speed up the diffusion process and increase the equilibrium value .Besides ,the de‐crease in the variance of threshold distribution would slow down the initial diffusion process ,and would also speed up the end‐stage diffusion when some conditions are given ;if the neighbor effect is low ,the increase in the heterogeneity of degree distribution would speed up the initial diffusion stage;the initial diffusion would experience a super‐exponential increase stage when a certain re‐lationship between the neighbor effect and the threshold distribution is met ;the change in neigh‐bor effect ,threshold distribution or degree distribution may lead to a jump increase of the equilib‐rium value .

关 键 词：创新扩散 社会网络 邻居效应 社会影响 扩散影响率 

分 类 号：F244[经济管理—劳动经济]