Opinion Dynamics Under Common Influencer Assumption or Leadership Control

Chiara Cicolani (), Badis Ouahab () and Cristina Pignotti ()
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Chiara Cicolani: Università degli Studi dell’Aquila
Badis Ouahab: École Militaire Polytechnique
Cristina Pignotti: Università degli Studi dell’Aquila

Journal of Optimization Theory and Applications, 2025, vol. 205, issue 3, No 10, 32 pages

Abstract: 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.

Keywords: Opinion dynamics; Convergence to consensus; Time delays; Leadership control; 34D05; 34K20; 91D10 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02673-w

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