Referential type opinion formation with fluctuating affinities on social network

Abstract

The referential type opinion formation with the fluctuating affinities on the social network is investigated. The time evolution of the opinions is written by the DeGroot–Hegselmann–Krause type equation with the fluctuating weights (i.e. affinities). The time evolution of opinions obtained by such fluctuating affinities is calculated by changing the structure of the network. Finally, the stability of clusters of opinions depends on the balance between the mean value and the temperature, which define motions of the affinities.