介绍了有限信域观点动力学的一些研究成果. 首先介绍了几类经典的观点动力学模型; 其次重点介绍两类有限信域观点动力学模型, 即 Deffuant-Weisbuch (DW)模型和Hegselmann-Krause (HK)模型, 尤其是这两类模型不同种类的推广模型; 随后我们介绍相关的观点收敛性以及改进的有限信域观点动力学模型和相关的收敛性结果, 观点达到同步性的模型条件及参数条件, 并介绍了存在固执个体情形下观点具有波动性的观点动力学模型以及相关的理论结果.

This paper introduces some research advances of bounded-confidence opinion dynamics. First of all, we demonstrate some well-known opinion dynamics, and then focus on the two important bounded-confidence opinion models, that is, Deffuant-Weisbuch (DW) model and Hegselmann-Krause (HK) model, and some variants of the two models. Then we show the opinion convergence results and related results for bounded-confidence opinion models, including the model or parameter conditions for opinion consensus. Moreover, we present the opinion models for opinion fluctuations and related theoretical results with stubborn agents.