Convergence analysis of expressed and private opinion dynamics model on signed network

Abstract

Due to the discrepancy between an individual's expressed opinion and private opinion in many social situations, this paper aims to study the convergence and bipartite consensus of expressed and private opinion (EPO) model on signed directed network G ( W ) without satisfying common strong connectivity. First, by constructing an enlarged network G ( P ) of G ( W ) and studying the properties of CSCCs in G ( P ) , we establish some general convergence criteria for the EPO model. Second, we explore the relationship between the final private opinion, final expressed opinion and initial opinion of an individual and prove that the self-confidence of an individual can influence the gap between his final expressed opinion and group pressure. Third, by structural balance theory, we establish the bipartite consensus criterion of the EPO model. Finally, numerical simulations are presented to illustrate the effectiveness of our results.