Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/118148
Authors: 
Cartwright, Edward
Wooders, Myrna
Year of Publication: 
2003
Series/Report no.: 
Nota di Lavoro, Fondazione Eni Enrico Mattei 122.2003
Abstract: 
Motivated by issues of imitation, learning and evolution, we introduce a framework of non-co-operative games, allowing both countable sets of pure actions and player types and player types and demonstrate that for all games with sufficiently many players, every mixed strategy Nash equilibrium can be used to construct a Nash e-equilibrium in pure strategies that is 'e-equivalent'. Our framework introduces and exploits a distinction between crowding attributes of players (their external effects on others) and their taste attributes (their payoff functions and any other attributes that are not directly relevant to other players). The set of crowding attributes is assumed to be compact; this is not required, however, for taste attributes. We stress that for studying issues such as conformity, the case of a finite set of types and actions, while illuminating, cannot yield completely satisfactory results. Our main theorems are based on a new mathematical result, in the spirit of the Shapley-Folkman Theorem but applicable to a countable (not necessarily finite dimensional) strategy space.
Subjects: 
Equilibrium
Pure Strategies
Non-cooperative Games
JEL: 
C72
Document Type: 
Working Paper

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