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On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players

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Author Info
M Ali Khan
Kali P Rath
Yeneng Sun

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Abstract

We present results on the existence of pure strategy Nash equilbria in nonatomic games We also show by means of counterexamples that the stringent conditions on the cardinality of actions sets cannot be relaxed and thus resolve questions which have remained open since Schmeidler's 1973 paper

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Publisher Info
Paper provided by The Johns Hopkins University,Department of Economics in its series Economics Working Paper Archive with number 381.

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Date of creation: Jan 1994
Date of revision: Feb 1997
Handle: RePEc:jhu:papers:381

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  1. Carmona, Guilherme, 2006. "On a Theorem by Mas-Colell," FEUNL Working Paper Series wp485, Universidade Nova de Lisboa, Faculdade de Economia. [Downloadable!]
  2. Carmona, Guilherme, 2004. "On the Existence of Pure Strategy Nash Equilibria in Large Games," FEUNL Working Paper Series wp465, Universidade Nova de Lisboa, Faculdade de Economia. [Downloadable!]
    Other versions:
  3. Carmona, Guilherme, 2003. "On the Purification of Nash Equilibria of Large Games," FEUNL Working Paper Series wp436, Universidade Nova de Lisboa, Faculdade de Economia. [Downloadable!]
    Other versions:
  4. Carmona, Guilherme, 2004. "Nash and Limit Equilibria of Games with a Continuum of Players," FEUNL Working Paper Series wp442, Universidade Nova de Lisboa, Faculdade de Economia. [Downloadable!]
    Other versions:
  5. Guilherme Carmona, 2004. "Nash Equilibria of Games with a Continuum of Players," Game Theory and Information 0412009, EconWPA. [Downloadable!]
    Other versions:
  6. Giancarlo Marini & Pietro Senesi, 2004. "Multiplicity of Dynamic Equilibria and Global Efficiency," CEIS Research Paper 57, Tor Vergata University, CEIS. [Downloadable!]
  7. Carmona, Guilherme & Podczeckz, Konrad, 2008. "On the Existence of Pure-Strategy Equilibria in Large Games," FEUNL Working Paper Series wp531, Universidade Nova de Lisboa, Faculdade de Economia. [Downloadable!]
  8. Guilherme Carmona, 2009. "A remark on the measurability of large games," Economic Theory, Springer, vol. 39(3), pages 491-494, June. [Downloadable!] (restricted)
  9. Michael T. Rauh, 2005. "Nonstandard Foundations of Equilibrium Search Models," Working Papers 2005-02, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy. [Downloadable!]
    Other versions:
  10. Lorenzo Rocco, 2007. "Anonymity in nonatomic games," International Review of Economics, Springer, vol. 54(2), pages 225-247, June. [Downloadable!] (restricted)
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