Hybrid models of opinion dynamics with opinion-dependent connectivity

Paolo Frasca*, Sophie Tarbouriech, Luca Zaccarian

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    13 Citations (Scopus)

    Abstract

    This paper is a first attempt at using tools from the theory of hybrid systems to study opinion dynamics on networks with opinion-dependent connectivity. According to the hybrid framework, our dynamics are represented by the combination of continuous flow dynamics and discrete jump dynamics. The flow embodies the attractive forces between the agents and is defined by an ordinary differential equation whose right-hand side is a Laplacian, whereas the jumps describe the activation or deactivation of the pairwise interactions between agents. We first reformulate the classical Hegselmann–Krause model in this framework and then define a novel interaction model, which has the property of being scale-invariant. We study the stability and convergence properties of both models by a Lyapunov analysis, showing convergence and clusterization of opinions.

    Original languageEnglish
    Pages (from-to)153-161
    Number of pages9
    JournalAutomatica
    Volume100
    DOIs
    Publication statusPublished - Feb 2019

    Keywords

    • Hybrid dynamical systems
    • Lyapunov analysis
    • Opinion dynamics

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