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Symmetric games revisited
Cao, Zhigang1; Yang, Xiaoguang2,3
AbstractWe distinguish among three types of symmetric games, which we name ordinary symmetric games, renaming symmetric games, and name-irrelevant symmetric games, in an order of increasing broadness. The second class of symmetric games is new and has bite even on some elementary two by two games, e.g., Battle of Sexes is renaming symmetric but not ordinary symmetric, and Matching Pennies is name irrelevant symmetric but not renaming symmetric. When each player has two strategies, both ordinary and renaming symmetric games are exact potential games, a property not possessed by their name irrelevant counterparts. We establish a characterization of the renaming symmetric game through the player symmetry group. (C) 2018 Elsevier B.V. All rights reserved.
Funding ProjectNNSF of China[11471326]
WOS Research AreaBusiness & Economics ; Mathematics ; Mathematical Methods In Social Sciences
WOS SubjectEconomics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods
WOS IDWOS:000447110700002
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Document Type期刊论文
Corresponding AuthorYang, Xiaoguang
Affiliation1.Beijing Jiaotong Univ, Sch Econ & Management, Dept Econ, Beijing 100044, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Cao, Zhigang,Yang, Xiaoguang. Symmetric games revisited[J]. MATHEMATICAL SOCIAL SCIENCES,2018,95:9-18.
APA Cao, Zhigang,&Yang, Xiaoguang.(2018).Symmetric games revisited.MATHEMATICAL SOCIAL SCIENCES,95,9-18.
MLA Cao, Zhigang,et al."Symmetric games revisited".MATHEMATICAL SOCIAL SCIENCES 95(2018):9-18.
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