符号社会网络上的多维观点动力学与决策  

Multidimensional opinion dynamics and decision-making over signed social networks

作　　者：刘青松 刘宇飞 柴利 LIU Qing-song;LIU Yu-fei;CHAI Li(School of Information Science and Engineering,Wuhan University of Science and Technology,Wuhan Hubei 430081,China;State Key Laboratory of Industrial Control Technology,Zhejiang Unviersity,Hangzhou Zhejiang 310027,China;College of Control Science and Engineering,Zhejiang Unviersity,Hangzhou Zhejiang 310027,China)

机构地区：[1]武汉科技大学信息科学与工程学院,湖北武汉430081 [2]浙江大学工业控制技术全国重点实验室,浙江杭州310027 [3]浙江大学控制科学与工程学院,浙江杭州310027

出　　处：《控制理论与应用》2025年第2期419-425,共7页Control Theory & Applications

基　　金：国家自然科学基金项目(61903282,62173259);中国博士后科学基金项目(2020T130488);湖北省自然科学基金项目(2022CFB110)资助.

摘　　要：在社会心理学中,个体的决策行为一方面会受到自己观点的影响,观点的演化又会受到观察到他人决策行为的影响;另一方面,个体之间既存在合作关系又存在竞争关系.本文建立了具有集体决策的符号社会网络多维观点动力学模型,描述同时具有竞争与合作关系的社会网络中群体观点与集体决策行为的共同演化.根据影响矩阵和逻辑矩阵的行随机性,给出多维观点有界性的充分条件和保证集体采取相同决策行为的充要条件.应用本文提出的观点与集体决策模型研究了社会心理学中的“认知失调”、“登门坎效应”和“认知协调”现象.In social psychology,the individual’s decision-making behavior may be affected by their own opinions,the opinion evolution may be also influenced by the observed decision-making behaviors of others.On the other hand,there exist both cooperative and competitive relationships among individuals.In this paper,a multidimensional opinion dynamics model of signed social networks with collective decision-making is established,which captures the co-evolution of group opinion and collective decision-making behavior in social networks with both cooperative and competitive relationships.In terms of the row-stochasticity of the influence matrix and the logic matrix,the sufficient conditions for the boundedness of multidimensional opinions and the sufficient and necessary conditions to ensure that the group adopts the same decision-making behavior are given.By applying our proposed opinion and collective decision-making model to analyze the phenomenon of cognitive dissonance,the foot in the door effect and the cognitive coordination in social psychology.

关 键 词：多维观点动力学 集体决策 符号社会网络 有界性 拟一致性 

分 类 号：F27[经济管理—企业管理]