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Symmetric Approximate Equilibrium Distributions with Finite Support

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Author Info

  • Guilherme Carmona

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 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).

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File URL: http://128.118.178.162/eps/game/papers/0311/0311006.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0311006.

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Length: 7 pages
Date of creation: 22 Nov 2003
Date of revision:
Handle: RePEc:wpa:wuwpga:0311006

Note: Type of Document - pdf; prepared on win xp; to print on general; pages: 7; figures: 0. none
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Web page: http://128.118.178.162

Related research

Keywords: Equilibrium distributions; games with a continuum of players; symmetric distributions;

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  1. 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.
  2. Guilherme Carmona, 2003. "Nash and Limit Equilibria of Games with a Continuum of Players," Game Theory and Information 0311004, EconWPA.
  3. Green, Edward J, 1984. "Continuum and Finite-Player Noncooperative Models of Competition," Econometrica, Econometric Society, vol. 52(4), pages 975-93, July.
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Cited by:
  1. Guilherme Carmona, 2003. "Nash and Limit Equilibria of Games with a Continuum of Players," Game Theory and Information 0311004, EconWPA.
  2. Carmona, Guilherme, 2004. "Nash Equilibria of Games with a Continuum of Players," FEUNL Working Paper Series wp466, Universidade Nova de Lisboa, Faculdade de Economia.

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