时间：2025年4月17日10:00-11:30（周四）

地点：明德主楼729

主讲人：曹志刚 北京交通大学经济管理学院教授

主持人：刘小鲁教授

主题：Potentials in Quadratic Cournot Cross-holding Games

讲座简介：Do firms in an oligopoly market behave “as if” they were maximizing a common fictitious objective function, as in perfect competition and monopoly? The answer is yes under certain mild technical conditions (Slade, 1994). That is, in terms of Monderer and Shapley (1996), the Cournot competition is a potential game. In this paper, we ask the same question for Cournot competition with quadratic payoff functions and cross-holdings, an important variant of the oligopoly market. We find that, for various potential functions, the question can be more easily understood from the structure of the influence network, which is constructed from the cross-holding network. Roughly, we find that the Cournot competition with cross-holdings is a potential game if and only if the influence network is symmetric in certain generalized sense. Extending the model to Cournot competition with both overlapping ownership and product differentiation, we find that the previous results still hold. We also provide two applications of our results. (joint work with Guopeng Li, Sixian Shen, and Feng Zhu)

个人简介：曹志刚，北京交通大学经济管理学院教授。2017年9月加盟北京交通大学经济管理学院，任“卓越百人计划”教授。长期从事合作博弈、交通博弈、网络博弈和算法博弈等方面的研究，在包括Operations Research、Mathematics of Operations Research、Games and Economic Behavior、Journal of Mathematical Economics、Social Choice and Welfare、International Journal of Game Theory和《中国科学：数学》在内的期刊上发表多篇论文。兼任中国“双法”研究会智能决策与博弈分会副理事长、中国运筹学会博弈论分会副理事长、中国系统工程学会副秘书长、中国信息经济学会副秘书长、管理科学与工程学会理事和中国运筹学会常务理事等职务。