A Hybrid Model of Opinion Dynamics with Limited Confidence. Issue 18 (2016)

• Record Type: Journal Article
• Authors: Frasca, Paolo; Tarbouriech, Sophie; Zaccarian, Luca
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 18(2016)
• Page Start: 351
• Page End: 355
• Publication Date: 2016
• Subjects: Hybrid dynamical systems -- opinion dynamics -- Lyapunov; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.10.190
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper proposes a novel model of opinion dynamics with limited confidence. As opposed to other models, the onset of reciprocal influences between individuals is not defined by absolute thresholds, but by a notion of relative relevance for each link. The proposed dynamics takes the form of a hybrid dynamical system, where topology and opinions are coupled but as distinct variables. We prove converge to opinion distributions where disconnected clusters of individuals agree locally, while each cluster holds a different opinion. We also illustrate the dynamics via simulations.