Evolution of Self-confidence in Opinion Dynamics over Signed Network

This paper discusses the evolution of self-confidence of individuals in Degroot-Friedkin (D-F) model when they interact along sequences of issues over a signed network. The underlying strongly connected signed network contains both positive and negative influences on the opinions of the individuals. It has been shown in this work that the opinions of the individuals under this network polarize into two groups with the individuals attaining same asymptotic opinion value within the same group while asymptotic opinion values having same magnitude, opposite in sign for different group. The evolution of self-confidences of the individuals along sequences of issues have been shown and they are found to converge to an equilibrium contained in an n-simplex. The numerical simulations validate the theoretical results obtained in the work. Copyright (C) 2020 The Authors.