On group structures of strategic-form games

被引：0

作者：

Cao, Zhigang ^{[1
]}

Li, Guopeng ^{[2
]}

Tan, Zhibin ^{[1
]}

Yang, Xiaoguang ^{[3
,4
]}

机构：

[1] Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Econ, Wuhan 430074, Peoples R China

[3] Univ Chinese Acad Sci, Beijing 100049, Peoples R China

[4] Chinese Acad Sci, Acad Math & Syst Sci, MADIS, Beijing 100049, Peoples R China

来源：

FUNDAMENTAL RESEARCH | 2024年 / 4卷 / 03期

关键词：

Noncooperative games; Strategic-form games; Symmetric games; Symmetry groups; Covering groups; CANONICAL EXTENSIVE FORM; SYMMETRIC GAMES; EQUILIBRIA; EXISTENCE;

D O I：

10.1016/j.fmre.2022.06.015

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

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.

引用

页码：540 / 549

页数：10

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