Convergence results and optimal control problems via gap functions for n-player generalized multiobjective games with applications

主讲人：Andre A. Keller，法国第一巴黎大学潘提翁-索邦分校教授

时间：2026年1月3日13：30

地点：徐汇校区三号楼332室

举办单位：数理学院

主讲人介绍：Andre A. Keller教授，1977年7月毕业于 University of Paris I – Panthéon-Sorbonne，获得Ph.D. (Doctorat d’Etat) in Economics with distinction in Operation Research。现就职于法国第一巴黎大学潘提翁-索邦分校, 法国国家科研中心（CNRS）成员, 著名老牌期刊J. Comput. Appl. Math.主编。主要从事运筹学、计量经济学建模，以及确定性与随机控制理论的研究.

内容介绍：This speech will systematically present the latest research results on the convergence of solution sets for control systems driven by generalized multiobjective games and related optimization problems. First, we will review the framework of generalized multiobjective game control systems proposed by Hung and Keller (2023). Based on this, by introducing a gap function and using nonlinear scalarization techniques, we propose a key assumption. Under this key assumption, we then establish the lower convergence and convergence theorems for the solution sets of such problems. Next, we apply this analytical framework to a class of optimal control problems constrained by generalized multiobjective games. We thoroughly study the sufficient and necessary conditions for the convergence of their solution sets. Finally, as a practical application, we will consider an application to controlled systems of traffic networks.