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报告题目：The core of nonlinear combinaitorial games
报 告 人：杜东雷 加拿大新布朗什维克大学
报告摘要：We fully characterize the core of a broad class of nonlinear games by identifying a suitable relaxation for inherent nonlinearity, directly generalizing the linear frameworks in the literature. This characterization significantly expands the scope of cooperative games that can be analyzed and contributes to the literature on games induced from optimization models. We apply these insights to not only establish connections with and provide new insights on classical models but also solve new games untamed in the existing literature, including combinatorial quadratic and ratio games such as portfolio, maximum cut, matching, and assortment games. These results are further extended to more general models and also the approximate core.
报告人简介：杜东雷教授现就职加拿大新布朗什维克工商管理学院。从事运筹及管理科学研究。其主要研究兴趣为离散优化，量化投资管理，社会网络分析，供应链管理，选址问题及排序理论。现任多家学术期刊编委会委员，担任多个国际学术会议的学术分委会主席、程序委员会委员、嘉宾和主讲嘉宾。担任加拿大科学与工程基金委员会上会评审专家（2017-2020）。其科研成果发表在诸多国际一流学术期刊上，如Operations Research, European Journal of Operation Research, Omega 等。并多次获得所在学校及学院的奖励，包括University Research Scholar (校级, 2014), University Merit Award (校级, twice, 2006 and 2012), Excellence in Research Award (院级, 2007), and Annual Research Award (院级，2004).
报告时间：2026年4月20日 10:30-11:30
报告地点：文渊楼 A231
主办单位：数学与统计学院
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