Decomposition of games: some strategic considerations

Candogan et al. (2011) provide an orthogonal direct-sum decomposition of finite games into potential, harmonic and nonstrategic components. 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 t...

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Bibliographic Details
Published inarXiv.org
Main Authors Abdou, Joseph, Pnevmatikos, Nikolaos, Scarsini, Marco, Venel, Xavier
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.03.2020
Subjects
Decomposition
Equivalence
Game theory
Linear transformations
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Summary:Candogan et al. (2011) provide an orthogonal direct-sum decomposition of finite games into potential, harmonic and nonstrategic components. 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 of payoffs. We show the need to define classes of decompositions to achieve commutativity of game transformations and decompositions.
ISSN:2331-8422