NDLI: A projection framework for near-potential games

Content Provider	IEEE Xplore Digital Library
Author	Candogan, O. Ozdaglar, A. Parrilo, P.A.
Copyright Year	2010
Description	Author affiliation: Laboratory of Information and Decision Systems, Massachusetts Institute of Technology, 77, Room 32-D608 Cambridge, 02139, USA (Candogan, O.; Ozdaglar, A.; Parrilo, P.A.)
Abstract	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 game, we can characterize the approximate equilibria and the sets to which better-response dynamics converges, as a function of the distance of the game to its potential approximation.
Starting Page	244
Ending Page	249
File Size	233366
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5718130
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Games Approximation methods Optimization Closed-form solution Convex functions Nash equilibrium Geometry
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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