Modeling Heterogenous Threshold Rule Based Innovation Diffusion
XIAO Yu1, HAN Jingti2
1. School of Business Information, Shanghai University of International Business and Economics, Shanghai 201620, China; 2. a. School of Information Management and Engeneering, b. Experimental Center, Shanghai University of Finance and Economics, Shanghai 200433, China
Abstract：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 equilibrium. The result shows that the decrease in neighbor effect or the mean of threshold distribution would speed up the diffusion process and increase the equilibrium value. Besides, the decrease 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 relationship between the neighbor effect and the threshold distribution is met; the change in neighbor effect, threshold distribution or degree distribution may lead to a jump increase of the equilibrium value.
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