An application of optimization theory to the study of equilibria for games: a survey

Lina Mallozzi ()

Central European Journal of Operations Research, 2013, vol. 21, issue 3, 523-539

Abstract: This contribution is a survey about potential games and their applications. In a potential game the information that is sufficient to determine Nash equilibria can be summarized in a single function on the strategy space: the potential function. We show that the potential function enable the application of optimization theory to the study of equilibria. Potential games and their generalizations are presented. Two special classes of games, namely team games and separable games, turn out to be potential games. Several properties satisfied by potential games are discussed and examples from concrete situations as congestion games, global emission games and facility location games are illustrated. Copyright Springer-Verlag 2013

Keywords: Noncooperative games; Nash equilibrium strategy; Potential games; Team games; Separable games (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10100-012-0245-8

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