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

中文关键词  多维观点动力学  集体决策  符号社会网络  有界性  拟一致性

英文关键词  multidimensional opinion dynamics  collective decision-making  signed social networks  boundedness  quasi-consensus

中文摘要

      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.

英文摘要

      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.