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時間：2025年4月17日10:00-11:30（周四）

地點：明德主樓729

主講人：曹志剛 北京交通大學經濟管理學院教授

主持人：劉小魯教授

主題：Potentials in Quadratic Cournot Cross-holding Games

講座簡介：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)

個人簡介：曹志剛，北京交通大學經濟管理學院教授。2017年9月加盟北京交通大學經濟管理學院，任“卓越百人計劃”教授。長期從事合作博弈、交通博弈、網絡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《中國科學：數學》在內的期刊上發表多篇論文。兼任中國“雙法”研究會智能決策與博弈分會副理事長、中國運籌學會博弈論分會副理事長、中國系統工程學會副秘書長、中國信息經濟學會副秘書長、管理科學與工程學會理事和中國運籌學會常務理事等職務。