Asymptotic analysis of the Friedkin-Johnsen model when the matrix of the susceptibility weights approaches the identity matrix
arXiv:1808.103792 citations
Originality Synthesis-oriented
AI Analysis
Provides theoretical insight into opinion dynamics for researchers studying social influence models.
The paper analyzes the Friedkin-Johnsen opinion model as susceptibility weights approach 1, showing convergence to quasi-consensus under suitable assumptions, with the consensus value differing from the DeGroot model.
In this paper we analyze the Friedkin-Johnsen model of opinions when the coefficients weighting the agent susceptibilities to interpersonal influence approach 1. We will show that in this case, under suitable assumptions, the model converges to a quasi-consensus condition among the agents. In general the achieved consensus value will be different to the one obtained by the corresponding DeGroot model