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2005 | 32 | 2 | 183-193
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Large games with only small players and strategy sets in Euclidean spaces

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The games of type considered in the present paper (LSE-games) extend the concept of LSF-games studied by Wieczorek in [2004], both types of games being related to games with a continuum of players. LSE-games can be seen as anonymous games with finitely many types of players, their action sets included in Euclidean spaces and payoffs depending on a player's own action and finitely many integral characteristics of distributions of the players' (of all types) actions. We prove the existence of equilibria and present a minimization problem and a complementarity problem (both nonlinear) whose solutions are exactly the same as equilibria in the given game. Examples of applications include a model of social adaptation and a model of economic efficiency enforced by taxation.
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  • Institute of Computer Science, Polish Academy of Sciences, Ordona 21, 01-237 Warszawa, Poland
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bwmeta1.element.bwnjournal-article-doi-10_4064-am32-2-6
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