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sidenav header background[5月23日]微观经济学workshop
发布日期：2019-05-22 01:45 来源：
微观理论Workshop: Cooperative Functions
时 间：2019年5月23日（周四）10:30 -- 12:00
地 点：北京大学经济学院303会议室
主讲人：曹志刚（NJTU）
组织人：汪浩 胡岠 胡涛 吴泽南
题 目：Cooperative Functions
摘 要：
We study a common scenario in industry where returns to scale are nondecreasing and thus full cooperation via pooling all the resources together among related firms is usually the most efficient way of production. This scenario is often modelled as a class of cooperative games, referred to as resource pooling games. We argue that resource pooling games could be better understood via directly analyzing the underlying functions that are referred to as the cooperative functions than via analyzing the induced cooperative games. By combining the pioneering works of Sharkey and Telser (1978) and Aubin (1981), we provide a framework for analyzing cooperative functions. We focus on cooperative functions that are supportable in that nonemptiness of the core is guaranteed for all related resource pooling games, and argue that Aubin core can be adapted to study cooperative functions and has several remarkable advantages over the core. We characterize concave supportable functions and convex supportable function. We find that a cooperative function always derives a convex game if and only if it is ultramodular (i.e., supermodular and coordinate-wise convex). Various related solution concepts, including unnormalized Aubin core and PMAS, are studied. We also provide several applications of this framework, including linear production games, EOQ games, and newsvendor games.
主讲人介绍：
曹志刚，北京交通大学经济管理学院教授。2010年毕业于中科院数学与系统科学研究院并留院任助理研究员。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。主要研究兴趣为博弈论及其应用，包括网络博弈和算法博弈论等。在相关领域主流刊物发表论文20余篇，包括Operations Research、Games and Economic Behavior、Journal of Mathematical Economics, Social Choice and Welfare, International Journal of Game Theory 和Theoretical Computer Science等期刊以及ACM Economics & Computation等会议。获中国信息经济学理论贡献奖、系统科学与系统工程青年科技奖、中国决策科学青年科技奖和关肇直青年研究奖。任中国运筹学会博弈论分会副秘书长、中国运筹学会排序论分会副秘书长、中国运筹学会和中国系统工程学会青年工作委员会委员等。
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首页
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教学项目展开 / 收起
sidenav background教学项目
sidenav header background[5月23日]微观经济学workshop
发布日期：2019-05-22 01:45 来源：
微观理论Workshop: Cooperative Functions
时 间：2019年5月23日（周四）10:30 -- 12:00
地 点：北京大学经济学院303会议室
主讲人：曹志刚（NJTU）
组织人：汪浩 胡岠 胡涛 吴泽南
题 目：Cooperative Functions
摘 要：
We study a common scenario in industry where returns to scale are nondecreasing and thus full cooperation via pooling all the resources together among related firms is usually the most efficient way of production. This scenario is often modelled as a class of cooperative games, referred to as resource pooling games. We argue that resource pooling games could be better understood via directly analyzing the underlying functions that are referred to as the cooperative functions than via analyzing the induced cooperative games. By combining the pioneering works of Sharkey and Telser (1978) and Aubin (1981), we provide a framework for analyzing cooperative functions. We focus on cooperative functions that are supportable in that nonemptiness of the core is guaranteed for all related resource pooling games, and argue that Aubin core can be adapted to study cooperative functions and has several remarkable advantages over the core. We characterize concave supportable functions and convex supportable function. We find that a cooperative function always derives a convex game if and only if it is ultramodular (i.e., supermodular and coordinate-wise convex). Various related solution concepts, including unnormalized Aubin core and PMAS, are studied. We also provide several applications of this framework, including linear production games, EOQ games, and newsvendor games.
主讲人介绍：
曹志刚，北京交通大学经济管理学院教授。2010年毕业于中科院数学与系统科学研究院并留院任助理研究员。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。主要研究兴趣为博弈论及其应用，包括网络博弈和算法博弈论等。在相关领域主流刊物发表论文20余篇，包括Operations Research、Games and Economic Behavior、Journal of Mathematical Economics, Social Choice and Welfare, International Journal of Game Theory 和Theoretical Computer Science等期刊以及ACM Economics & Computation等会议。获中国信息经济学理论贡献奖、系统科学与系统工程青年科技奖、中国决策科学青年科技奖和关肇直青年研究奖。任中国运筹学会博弈论分会副秘书长、中国运筹学会排序论分会副秘书长、中国运筹学会和中国系统工程学会青年工作委员会委员等。
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