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Symmetric Approximate Equilibrium Distributions with Finite Support

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  • Carmona, Guilherme

Abstract

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 fi- nite 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).

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Bibliographic Info

Paper provided by Universidade Nova de Lisboa, Faculdade de Economia in its series FEUNL Working Paper Series with number wp441.

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Length: 7 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:unl:unlfep:wp441

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  1. Green, Edward J., 1982. "Continuum and Finite-Player Noncooperative Models of Competition," Working Papers, California Institute of Technology, Division of the Humanities and Social Sciences 418, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Carmona, Guilherme, 2004. "Nash and Limit Equilibria of Games with a Continuum of Players," FEUNL Working Paper Series, Universidade Nova de Lisboa, Faculdade de Economia wp442, Universidade Nova de Lisboa, Faculdade de Economia.
  3. Rath, Kali P. & Yeneng Sun & Shinji Yamashige, 1995. "The nonexistence of symmetric equilibria in anonymous games with compact action spaces," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 331-346.
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Cited by:
  1. Carmona, Guilherme, 2004. "Nash Equilibria of Games with a Continuum of Players," FEUNL Working Paper Series, Universidade Nova de Lisboa, Faculdade de Economia wp466, Universidade Nova de Lisboa, Faculdade de Economia.
  2. Carmona, Guilherme, 2004. "Nash and Limit Equilibria of Games with a Continuum of Players," FEUNL Working Paper Series, Universidade Nova de Lisboa, Faculdade de Economia wp442, Universidade Nova de Lisboa, Faculdade de Economia.

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