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We consider an opinion dynamics model with average opinion orientation. For a small social group consisting of multiple agents, a player only influences the opinion of one agent to motivate them to approach their targets. The opinion dynamics equation is constructed by mean-field theory, and the research problem is formulated as a discrete-time linear quadratic dynamic problem. The Euler equation approach is used to prove the necessary conditions for social group members to reach a consensus. In addition, numerical simulations demonstrate the theoretical results.

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Cost Optimization Problem for Opinion Dynamics at Terminal Moment in a Multi-agent Social Group

  • 会议论文

  • 发表日期：

    2026年

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  • Jingjing Gao

摘要

We consider an opinion dynamics model with average opinion orientation. For a small social group consisting of multiple agents, a player only influences the opinion of one agent to motivate them to approach their targets. The opinion dynamics equation is constructed by mean-field theory, and the research problem is formulated as a discrete-time linear quadratic dynamic problem. The Euler equation approach is used to prove the necessary conditions for social group members to reach a consensus. In addition, numerical simulations demonstrate the theoretical results.