Opinion Polarization Over Signed Social Networks With Quasi-Structural Balance

• 成果类型: Article
• 署名作者: Shi, Lei; Li, Weihao; Shi, Mengji; Shi, Kaibo; Cheng, Yuhua
• 署名单位: University of Electronic Science & Technology of China; University of Electronic Science & Technology of China; Chengdu University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3250090
• 发表日期: 2023
• 页码: 6867-6874
• 关键词: Asynchronous updates; opinion polarization; quasi-structural balance; signed social networks.

摘要

In social networks with mixed trust and distrust relationships, polarization is a common class of opinion evolutionary phenomena. Existing studies have generally believed that structural balance on networks is a crucial condition for the emergence of opinion polarization under DeGroot-style interactions. Unlike existing studies, this article aims to establish a new updating model based on DeGroot-style interactions, thereby relaxing the network structure requirement of achieving opinion polarization to quasi-structural balance, which is a more general concept and can include structural balance as a special case. With the assistance of the method of products convergence of infinite super-stochastic matrices, a comprehensive analysis of the model is carried out, and algebraic conditions on the degrees of trust and distrust among agents are established, so as to ensure the realization of opinion polarization on quasi-structurally balanced networks. At last, numerical simulations are provided to verify the theoretical results.