Asymptotic analysis of the Friedkin-Johnsen model when the matrix of the\n susceptibility weights approaches the identity matrix

2018/08/30 by A. Pironti, Pironti, Alfredo
Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Electrical engineering #Multiagent Systems (cs.MA) #Opinion Dynamics and Social Influence #Quantum many-body systems #Social and Information Networks (cs.SI) #Spectral Theory in Mathematical Physics #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1808.10379

openalex publication_date 2018/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we analyze the Friedkin-Johnsen model of opinions when the\ncoefficients weighting the agent susceptibilities to interpersonal influence\napproach 1. We will show that in this case, under suitable assumptions, the\nmodel converges to a quasi-consensus condition among the agents. In general the\nachieved consensus value will be different to the one obtained by the\ncorresponding DeGroot model\n

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