Opinion dynamics of two populations with time-delayed coupling

2024/04/10 by Cicolani, Chiara, Pignotti, Cristina · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2404.07007

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.

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

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