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| Dynamic Analysis of Individuals' Expressed and Private Opinions Under the Influence of Multi-leaders |
| CAI Danni, ZHANG Wenbing, WU Guanglei
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| College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China |
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Abstract To investigate the evolutionary patterns of expressed and private opinions among individuals in social networks where cooperative and competitive relationships coexist, and to analyze the convergence properties of opinions, we establish a multi-leader opinion dynamics model under cooperative-competitive relationships to describe the evolution of both individuals' expressed and private opinions. By employing the randomness and aperiodicity of the influence matrix, we provide a sufficient condition for the convergence of individual expressed and private opinions, assuming the signed network satisfies specific connectivity conditions. The results demonstrate that in a balanced network structure, followers' expressed opinions are influenced by leaders' opinions, while private opinions ultimately guide the expressed opinions toward an equilibrium point. Simulation experiments further validate the effectiveness of the proposed model.
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Received: 10 July 2024
Published: 14 July 2026
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