Decomposition of Games: Some Strategic Considerations
成果类型：
Article
署名作者：
Abdou, Joseph; Pnevmatikos, Nikolaos; Scarsini, Marco; Venel, Xavier
署名单位：
Universite Paris-Pantheon-Assas; Luiss Guido Carli University
刊物名称：
MATHEMATICS OF OPERATIONS RESEARCH
ISSN/ISSBN：
0364-765X
DOI：
10.1287/moor.2021.1123
发表日期：
2022
页码：
176-208
关键词：
摘要：
Orthogonal direct-sum decompositions of finite games into potential, harmonic and nonstrategic components exist in the literature. In this paper we study the issue of decomposing games that are strategically equivalent from a game-theoretical point of view, for instance games obtained via transformations such as duplications of strategies or positive affine mappings of the payoffs. We show the need to define classes of decompositions to achieve commutativity of game transformations and decompositions.
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