On the Analysis of the DeGroot-Friedkin Model with Dynamic Relative Interaction Matrices
作者： Mengbin Ye , Ji Liu , Brian D.O. Anderson , Changbin Yu , Tamer Başar
DOI: 10.1016/J.IFACOL.2017.08.1426
关键词: Computer science 、 Set (psychology) 、 Network topology 、 Multi-agent system 、 Simulation 、 Sequence 、 Social network 、 Mathematical optimization 、 Group (mathematics) 、 Behavioural sciences
摘要: Abstract This paper analyses the DeGroot-Friedkin model for evolution of individuals’ social powers in a network when topology varies dynamically (described by dynamic relative interaction matrices). The describes how individual power (self-appraisal, self-weight) evolves as individuals discuss opinions on sequence issues. We seek to study changing interactions because may change depending issue being discussed. Specifically, we matrices which vary periodically with respect reflect group individuals, e.g. government cabinet, that meet regularly set issues sequentially. It is shown admit periodic solution. Initially, between two matrices, and then generalise an arbitrary number matrices.
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