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【科苑经管学术论坛】刘林冬:Simultaneous Penalization and Subsidization for Stabilizing Grand Cooperation(9月17日)
发布时间:2018/9/13

科苑经管学术论坛第53期

 

报告题目:Simultaneous Penalization and Subsidization for Stabilizing Grand Cooperation

 

报告嘉宾:刘林冬博士 中国科学技术大学管理学院

 

报告时间:2018年9月17日(周一)15:30—17:00

 

报告地点:中国科学院数学与系统科学研究院南楼N219

 

内容摘要:In this talk, I will introduce a paper where we propose a new instrument, referred to as simultaneous penalization and subsidization, for stabilizing the grand coalition of an unbalanced cooperative game. Its basic idea is to charge a penalty z from players who leave the grand coalition, and at the same time provide a subsidy w to players who stay in the grand coalition. To formalize this idea, we establish a penalty-subsidy function w(z) based on a linear programming model, which allows a decision maker to quantify the trade-off between the levels of penalty and subsidy. By studying w(z), we derive certain properties regarding the trade-off. For the implementation of the new instrument, we design two algorithms to construct function w(z) and its approximation. Both algorithms rely on solving the value of w(z) for any given z, for which we propose two effective solution approaches. We apply the new instrument to a class of machine scheduling games, showing its wide applicability.

 

嘉宾简介:刘林冬博士2016年至今在中国科学技术大学管理学院任教,2011-2015在香港科技大学工业工程与决策分析系攻读博士学位,2007-2011在南京大学工程管理学院自动化系攻读学士学位。刘博士的主要研究方向为合作博弈,其研究成果发表在 Operations Research, INFORMS Journal on Computing 等学术期刊。刘博士正在主持一项国家自然科学基金青年项目。