报告题目：Convergence of the Heterogeneous Deffuant-Weisbuch Model: A Complete Proof and Some Extensions
报 告 人：陈鸽 副研究员（中国科学院数学与系统科学研究院）
报告时间：2024年10月31日（星期四） 09:30-10:30
报告地点：腾讯会议（线上） 会议ID：739-841-093
校内联系人：董久刚 教授 联系方式：84708351-8318
报告摘要：The Deffuant-Weisbuch (DW) model is a well known bounded-confidence opinion dynamics that has attracted wide interest. Although the heterogeneous DW model has been studied via simulations over 20 years, its convergence proof is open. Our previous paper solves the problem for the case of uniform weighting factors greater than or equal to 1/2, but the general case remains unresolved. This paper considers the DW model with heterogeneous confidence bounds and heterogeneous (unconstrained) weighting factors and shows that, with probability one, the opinion of each agent converges to a fixed vector. In other words, this paper resolves the convergence conjecture for the heterogeneous DW model. Our analysis also clarifies how the convergence speed may be arbitrarily slow under certain parameter conditions.
报告人简介：陈鸽，中国科学院数学与系统科学研究院副研究员。主要研究兴趣为多智能体自组织涌现理论，主持基金委、科技部课题或子课题多项。近十年来发表（接收）应用数学和控制领域顶级期刊SIAM Review, IEEE Transactions on Automatic Control, Automatica论文19篇，其中长文12篇，授权国内外专利多项，出版专著1部，并被众多著（知）名国外专家给予“优美的结果”、“关键发现”、“重要结果”等公开好评或跟随。曾获美国工业与应用数学学会SIGEST论文奖励（国内首次），中国自动化学会自然科学奖一等奖，中国运筹学会“中国运筹学应用奖”一等奖，国际运筹学联合会“IFORS运筹学进展奖”提名奖等。
