Binary Opinion Dynamics with Stubborn Agents

作者：Ercan Yildiz, Asuman Ozdaglar, Daron Acemoğlu, Amin Saberi, Anna Scaglione · 发表于：ACM Transactions on Economics and Computation · 年份：2013 · DOI：10.1145/2538508 · 被引用次数：329 · 研究领域：Opinion Dynamics and Social Influence、Complex Network Analysis Techniques、Game Theory and Applications

We study binary opinion dynamics in a social network with stubborn agents who influence others but do not change their opinions. We focus on a generalization of the classical voter model by introducing nodes (stubborn agents) that have a fixed state. We show that the presence of stubborn agents with opposing opinions precludes convergence to consensus; instead, opinions converge in distribution with disagreement and fluctuations. In addition to the first moment of this distribution typically studied in the literature, we study the behavior of the second moment in terms of network properties and the opinions and locations of stubborn agents. We also study the problem of optimal placement of stubborn agents where the location of a fixed number of stubborn agents is chosen to have the maximum impact on the long-run expected opinions of agents.