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A survey of static and dynamic potential games.

Authors :
González-Sánchez, David
Hernández-Lerma, Onésimo
Source :
SCIENCE CHINA Mathematics; Nov2016, Vol. 59 Issue 11, p2075-2102, 28p
Publication Year :
2016

Abstract

Potential games are noncooperative games for which there exist auxiliary functions, called potentials, such that the maximizers of the potential are also Nash equilibria of the corresponding game. Some properties of Nash equilibria, such as existence or stability, can be derived from the potential, whenever it exists. We survey different classes of potential games in the static and dynamic cases, with a finite number of players, as well as in population games where a continuum of players is allowed. Likewise, theoretical concepts and applications are discussed by means of illustrative examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16747283
Volume :
59
Issue :
11
Database :
Complementary Index
Journal :
SCIENCE CHINA Mathematics
Publication Type :
Academic Journal
Accession number :
118886521
Full Text :
https://doi.org/10.1007/s11425-016-0264-6