Symmetric Approximate Equilibrium Distributions with Finite Support
We show that a distribution of a game with a continuum of players is an equilibrium distribution if and only if there exists a sequence of symmetric approximate equilibrium distributions of games with finite support that converges to it. Thus, although not all games have symmetric equilibrium distributions, this result shows that all equilibrium distributions can be characterized by symmetric distributions of simpler games (i.e., games with a finite number of characteristics).
|Date of creation:||22 Nov 2003|
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Game Theory and Information
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418, California Institute of Technology, Division of the Humanities and Social Sciences.
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