包含EPO和意见领袖的多维有界置信意见动力学模型  

A Multidimensional Bounded-Confidence Opinion Dynamics Model with EPOs and an Opinion Leader

作　　者：蔡佳 叶其标 CAI Jia;YE Qibiao(College of Mathematics and Physics,Wenzhou University,Wenzhou,China 325035)

机构地区：[1]温州大学数理学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2024年第1期10-21,共12页Journal of Wenzhou University(Natural Science Edition)

摘　　要：研究个体在具有群体压力和一个意见领袖的社会网络中涉及多个话题的表达和私人意见的演化问题.为了刻画不同个体关于多个话题的表达和私人意见之间的相互影响,基于有界置信的方法提出一个新的多维意见动力学模型,其中,引入多话题依赖结构的耦合矩阵来刻画个体认知特定话题序列内在逻辑的同质“信念系统”,利用图论和矩阵的正则性,给出了意见收敛的充分条件.在独立话题和相互依赖话题两种类型的多话题依赖结构下对模型进行模拟,验证了结论的正确性.This paper studies the evolution of expressed and private opinions(EPOs) on multiple topics under group pressure in a social network with an opinion leader involved.To characterize the influence of interactions between different individuals' EPOs on multiple topics,a new multidimensional boundedconfidence opinion dynamics model is proposed.In this model,a coupling matrix of multi-issues dependence structure(MiDS) is introduced as a homogeneous “belief system” for all individuals to recognize the inherent relationship between these specific topics.Sufficient conditions for the convergence of the opinion in our model are given by theoretical analysis using graph theory and the regularity of the matrix.Simulations on the model with two types of MiDS,independent topics and interdependent topics,are performed and the results verify the correctness of the conclusion.

关 键 词：意见动力学 有界置信 多维意见 意见领袖 信念系统 表达和私人意见 

分 类 号：O231.9[理学—运筹学与控制论]