22.12.2025 16:30 Chiara Sabina Bariletto:
Opinion dynamics with repulsionBC1 2.01.10 (8101.02.110) (Parkring 11, 85748 Garching-Hochbrück)

In a recent paper in the journal Electronic Communications in Probability, Lanchier and Mercer discussed a variant of the original Deffuant model that additionally featured repulsion for individuals on the integer line, holding opinions farther than a confidence threshold \(\theta\) apart. The authors proved that all non-trivial choices of the parameter \(\theta\) resulted in the divergence of the opinion gap along at least one edge, meaning consensus never arises in this model. Inspired by a phenomenon where individuals of too different opinions may stop communicating, we introduce a new model with an added parameter \(K>\theta\), where repulsion stops after the opinion gap on an edge exceeds \(K\), 'deactivating' the edge so no interaction occurs. On this model still no global consensus occurs, however both agreeing opinion clusters and 'inactive' clusters arise.