Potential games: A purely ordinal approach

Общая информация

 Аннотация

    As a slight revision of Monderer and Shapley's definition, a potential for a strategic game is defined as a strict order on the set of strategy profiles, containing effective preferences of all players. The agent normal form of a finite game with perfect information is shown to have a potential. A topological restriction on the potential for an infinite game is suggested, guaranteeing the existence of a Nash equilibrium when the set of strategy profiles is compact.

 Ключевые слова

    Potential games, Monderer definition, Shapley definition, strategy profile, existence of a Nash equilibrium
 

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