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CDC
2010
IEEE

A projection framework for near-potential games

10 years 6 months ago
A projection framework for near-potential games
Potential games are a special class of games that admit tractable static and dynamic analysis. Intuitively, games that are "close" to a potential game should enjoy somewhat similar properties. This paper formalizes and develops this idea, by introducing a systematic framework for finding potential games that are close to a given arbitrary strategic-form finite game. We show that the sets of exact and weighted potential games (with fixed weights) are subspaces of the space of games, and that for a given game, the closest potential game in these subspaces (possibly subject to additional constraints) can be found using convex optimization. We provide closed-form solutions for the closest potential game in these subspaces, and extend our framework to more general classes of games. We further investigate and quantify to what extent the static and dynamic features of potential games extend to "near-potential" games. In particular, we show that for a given strategic-form g...
Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parril
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2010
Where CDC
Authors Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parrilo
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