On group structures of strategic-form games  

作　　者：Zhigang Cao Guopeng Li Zhibin Tan Xiaoguang Yang 

机构地区：[1]School of Economics and Management,Beijing Jiaotong University,Beijing 100044,China [2]School of Economics,Huazhong University of Science and Technology,Wuhan 430074,China [3]University of Chinese Academy of Sciences,Beijing 100049,China [4]MADIS,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Fundamental Research》2024年第3期540-549,共10页自然科学基础研究（英文版）

基　　金：supported by National Natural Science Foundation of China(72192804);and National Key Research Program(2018AAA0101000);supported by Natural Natural Science Foundation of China(72271016);Beijing Natural Science Foundation(Z220001)。

摘　　要：There are two recognized classes of strategic-form symmetric games,both of which can be conveniently defined through the corresponding player symmetry groups.We investigate the basic properties of these groups and several related concepts.We generalize the notion of coveringness and adapt their results to characterize these player symmetry groups.We study the relationships between the coveringnesses of various symmetry groups.Our results demonstrate that these symmetry groups have rich mathematical structures that are of game theoretical and economic interests.

关 键 词：Noncooperativegames Strategic-form games Symmetricgames Symmetry groups Covering groups 

分 类 号：O17[理学—数学]