j9九游会

上海治理论坛第206期（Anna Khmelnitskaya,俄罗斯格勒州立大学）

问题：Generalization of binomial coefficients to numbers on the nodes of graphs（基于图的结点数的二项式系数的推广）

演讲人：Anna Khmelnitskaya，，，，，俄罗斯格勒州立大学副教授

主持人：单而芳，，，，，j9九游会治理学院教授

时 间：2016年11月30日（周三）上午9:30

地 点：治理学院420室

主理单位：j9九游会治理学院、j9九游会治理学院青年西席联谊会

演讲内容简介：

The topic of this work does not relate directly to the game theory, but the interest to this study was strongly influenced by our study of Shapley-type solutions for cooperative games with limited cooperation introduced by communication graphs. Without restrictions on cooperation the classical Shapley value assigns to each player as a payoff the average of the players’ marginal contributions with respect to all possible orderings of the players. However, in case of limited cooperation represented by a communication graph not all orderings of the players are feasible, but only those that are consistent with the graph. When the graph is a linear graph, the numbers of feasible orderings starting from each of its nodes are given by the binomial coefficients.

演讲人简介：

Anna Khmelnitskaya 俄罗斯格勒州立大学副教授, 博弈论研究专家。。。。。。结业于俄罗斯格勒州立大学（在后苏联时期更名圣彼得堡州立大学）数学与力学学院, 并获博士学位。。。。。。自2002至今，，，，，Khmelnitskaya博士受聘于荷兰Twente大学应用数学系客座研究员。。。。。。在博弈论偏向, Khmelnitskay在European Journal of Operational Research, Annals of Operations Research, International Journal of Game Theory, Discrete Applied Mathematics, Theory and Decision, Insurance: Mathematics and Economics, Social Choice and Welfare, Economic Letters, Operations Research Letters, Mathematical Social Sciences等主要学术期刊上揭晓论文50多篇.其学术成绩在受限相助博弈领域有较大影响。。。。。。她的研究兴趣是：具有限制结构的相助博弈及其在经济学中的应用。。。。。。研究主要内容是：具有同盟结构、图结构和有向图结构等结构的相助博弈的解的体现、描绘和在经济学中应用等问题。。。。。。

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