Opinion Dynamics on Directed Complex Networks

• 成果类型: Article
• 署名作者: Fraiman, Nicolas; Lin, Tzu-Chi; Olvera-Cravioto, Mariana
• 署名单位: University of North Carolina; University of North Carolina Chapel Hill
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2022.0250
• 发表日期: 2025
• 关键词: biased assimilation; bounded confidence; Formal theory; consensus; EVOLUTION

摘要

We propose and analyze a mathematical model for the evolution of opinions on directed complex networks. Our model generalizes the popular DeGroot and FriedkinJohnsen models by allowing vertices to have attributes that may influence the opinion dynamics. We start by establishing sufficient conditions for the existence of a stationary opinion distribution on any fixed graph, and then provide an increasingly detailed characterization of its behavior by considering a sequence of directed random graphs having a local weak limit. Our most explicit results are obtained for graph sequences whose local weak limit is a marked Galton-Watson tree, in which case our model can be used to explain a variety of phenomena, for example, conditions under which consensus can be achieved, mechanisms in which opinions can become polarized, and the effect of disruptive stubborn agents on the formation of opinions.