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Decomposition of games: some strategic considerations
- Publication Year :
- 2022
-
Abstract
- 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.
- Subjects :
- Computer Science::Computer Science and Game Theory
General Mathematics
ComputingMilieux_PERSONALCOMPUTING
Harmonic (mathematics)
duplicate strategies
Management Science and Operations Research
Computer Science Applications
Algebra
Linear map
gradient operator
decomposition of games
Decomposition (computer science)
harmonic game
Point (geometry)
g-potential games, duplicate strategies, gradient operator, projection operator, decomposition of games, harmonic game
projection operator
g-potential games
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....30a4ed4a2a63c6afe6b159a35c3d3bf3