報(bào)告題目：The core of nonlinear combinaitorial games

報(bào) 告 人：杜東雷教授（加拿大新布朗什維克大學(xué)）

報(bào)告時(shí)間：2025年5月23日15:30

報(bào)告地點(diǎn)： 蓮花街校區(qū)惟德樓315會(huì)議室

報(bào)告人簡(jiǎn)介：

杜東雷，加拿大新布朗什維克大學(xué)工商管理學(xué)院教授，從事運(yùn)籌及管理科學(xué)研究。其主要研究興趣為離散優(yōu)化、量化投資管理、社會(huì)網(wǎng)絡(luò)分析、供應(yīng)鏈管理、選址問(wèn)題及排序理論等?，F(xiàn)任多家學(xué)術(shù)期刊編委會(huì)委員，擔(dān)任多個(gè)國(guó)際學(xué)術(shù)會(huì)議的學(xué)術(shù)分委會(huì)主席、程序委員會(huì)委員、嘉賓和主講嘉賓。擔(dān)任加拿大科學(xué)與工程基金委員會(huì)上會(huì)評(píng)審專(zhuān)家(2017-2020)。杜東雷教授科研成果發(fā)表在諸多國(guó)際一流學(xué)術(shù)期刊上，包括Operation Research、Algorithmic、SIAM Journal on Discrete Mathematics、European Journal of Operation Research、Omega等。多次獲得所在學(xué)校及學(xué)院的獎(jiǎng)勵(lì)，包括University Research Scholar (校級(jí)，2014)，University Merit Award (校級(jí)，2006、2012)，Excellence in Research Award (院級(jí)， 2007、2024)和 Annual Research Award (院級(jí)，2004)。

報(bào)告內(nèi)容簡(jiǎn)介：The core, a widely studied solution concept in cooperative game theory, has traditionally been analyzed using ad hoc methods for specific games. Recent research, however, has shifted toward systematic frameworks based on optimization models, such as linear, integer, or combinatorial programming games, offering broader theoretical insights and practical applications. This work advances this systematic approach by enabling core analysis for cooperative games derived from nonlinear integer programs (binary and non-binary). Unlike prior methods relying on strong relaxations (e.g., LP or convex relaxations requiring objective function agreement), we propose a novel technique using significantly weaker relaxations. Our method’s versatility is demonstrated through applications to previously unstudied games, underscoring its independent theoretical value and expanding the toolkit for analyzing complex cooperative games.

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數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
2025年5月21日