Opinion dynamics of two populations with time-delayed coupling

2024/04/10 by Chiara Cicolani, Cicolani, Chiara, Cristina Pignotti +1 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Opinion Dynamics and Social Influence #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2404.07007

openalex publication_date 2024/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a Hegselmann-Krause type opinion formation model for a system of two populations. The two groups interact with each other via subsets of individuals, namely the leaders, and natural time delay effects are considered. By using careful estimates of the system's trajectories, we are able to prove an asymptotic convergence to consensus result. Some numerical tests illustrate the theoretical result and point out some possible applications.

Cited by

• Time-delayed opinion dynamics with leader-follower interactions: consensus, stability, and mean-field limits

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