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Opinion Dynamics Under Common Influencer Assumption or Leadership Control

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  • Chiara Cicolani

    (Università degli Studi dell’Aquila)

  • Badis Ouahab

    (École Militaire Polytechnique)

  • Cristina Pignotti

    (Università degli Studi dell’Aquila)

Abstract

We study Hegselmann–Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two different agents. Moreover, we explore two cases in which such an assumption does not hold but leaders with independent opinion dynamics are present. By using careful estimates on the system’s trajectories, we are able to prove asymptotic convergence to consensus estimates. Some numerical tests illustrate the theoretical results.

Suggested Citation

  • Chiara Cicolani & Badis Ouahab & Cristina Pignotti, 2025. "Opinion Dynamics Under Common Influencer Assumption or Leadership Control," Journal of Optimization Theory and Applications, Springer, vol. 205(3), pages 1-32, June.
    • Handle: RePEc:spr:joptap:v:205:y:2025:i:3:d:10.1007_s10957-025-02673-w
    DOI: 10.1007/s10957-025-02673-w
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    References listed on IDEAS

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    1. Haoxiang Xia & Huili Wang & Zhaoguo Xuan, 2011. "Opinion Dynamics: A Multidisciplinary Review and Perspective on Future Research," International Journal of Knowledge and Systems Science (IJKSS), IGI Global, vol. 2(4), pages 72-91, October.
    2. Rainer Hegselmann & Ulrich Krause, 2002. "Opinion Dynamics and Bounded Confidence Models, Analysis and Simulation," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(3), pages 1-2.
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