Opinion Dynamics Under Common Influencer Assumption or Leadership Control
研究了Hegselmann-Krause类型的观点形成模型，考虑非普遍交互和时滞耦合，假设存在共同影响者或独立观点动态的领导者，证明了渐近收敛到共识，并用数值测试验证。
Abstract We study Hegselmann–Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two different agents. Moreover, we explore two cases in which such an assumption does not hold but leaders with independent opinion dynamics are present. By using careful estimates on the system’s trajectories, we are able to prove asymptotic convergence to consensus estimates. Some numerical tests illustrate the theoretical results.