一、题目

Self-associated consistency for the Shapley value

二、主讲人

徐根玖

三、摘要

A so-called self-associated game is introduced for a solution of TU games. Every coalition can be viewed as a unified player and every coalition revalues its worth in terms of the marginal contribution of the unified player in the corresponding to coalition-contracted game. It generates the characteristic function of the self-associated game. A solution is self-associated consistent when it allocates to every player invariably in a game and its self-associated game. We show that the Shapley value is self-associated consistent and is also characterized as the unique solution for TU games satisfying the inessential game property, continuity and self-associated consistency. The characterization is obtained by applying the matrix approach as the pivotal technique for characterizing linear transformations on game space.

四、主讲人介绍

徐根玖——西北工业大学“翱翔青年学者”、教授、博士生导师，“网络优化与经济决策”国际联合研究中心主任，主要研究兴趣包括合作博弈解的刻画与机制设计、博弈论与无人系统智能决策。主持国家自然科学基金项目6项，军事智能科技重大专项、国防科技创新特区项目2项，研究成果发表在International Journal of Game Theory, European Journal of Operational Research, Journal of Optimization Theory and Applications, Economic Theory等学术期刊，获国家教学成果一等奖1项、陕西省高校科技奖一等奖1项。

五、邀请人

徐进 数学学院副研究员

六、时间

11月5日（周五）19:00-20:00

七、地点

腾讯会议ID号：405 405 185

八、主办方

山东大学数学学院