Signed bounded confidence models for opinion dynamics. (July 2018)

• Record Type: Journal Article
• Authors: Altafini, Claudio; Ceragioli, Francesca
• Is Part Of: Automatica. Volume 93(2018)
• Page Start: 114
• Page End: 125
• Publication Date: 2018-07
• Subjects: Opinion dynamics -- Bounded confidence models -- Signed graphs -- ODEs with discontinuous right-hand-side; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.03.064
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: The aim of this paper is to modify continuous-time bounded confidence opinion dynamics models so that "changes of opinion" (intended as changes of the sign of the initial states) are never induced during the evolution. Such sign invariance can be achieved by letting opinions of different sign localized near the origin interact negatively, or neglect each other, or even repel each other. In all cases, it is possible to obtain sign-preserving bounded confidence models with state-dependent connectivity and with a clustering behavior similar to that of a standard bounded confidence model.