Evolution analysis of the time-varying trust Hegselmann-Krause models

As a typical state-dependent model in opinion dynamics, bounded confidence model has attracted many scholars to study its evolution characteristics and phenomena. In order to describe the "Similarity Effect" in psychology, we introduce the sensitivity of opinion difference into the classical Hegselmann-Krause (HK) model. In this paper, a new time-varying trust Hegselmann-Krause (Trust Hegselmann-Krause, THK) model is proposed, and the opinion evolution phenomena in homogeneous THK model and heterogeneous THK model are studied respectively. Simulation analyses show that in homogenous THK model, the more sensitive the group is, the slower the opinion evolution speed is, and it is more difficult to achieve consensus. While in heterogenous THK model, it is necessary to choose a proper sensitivity parameter for open-minded group to promote the opinion consensus.