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Non-cooperative games with many players

In: Handbook of Game Theory with Economic Applications

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Author Info
Khan, M. Ali
Sun, Yeneng

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Abstract

In this survey article, we report results on the existence of pure-strategy Nash equilibria in games with an atomless continuum of players, each with an action set that is not necessarily finite. We also discuss purification and symmetrization of mixed-strategy Nash equilibria, and settings in which private information, anonymity and idiosyncratic shocks are given particular prominence.

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This chapter was published in: R.J. Aumann & S. Hart (ed.) Handbook of Game Theory with Economic Applications, , chapter 46, pages 1761-1808, 2002.

This item is provided by Elsevier in its series Handbook of Game Theory with Economic Applications with number 3-46.

Handle: RePEc:eee:gamchp:3-46

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Related research
This chapter was published in the following book, which is listed on IDEAS:
R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3, September. [Downloadable!] (restricted)
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C - Mathematical and Quantitative Methods

Cited by:
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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. Azrieli, Yaron, 2007. "Thinking categorically about others: A conjectural equilibrium approach," MPRA Paper 3843, University Library of Munich, Germany, revised 06 Sep 2007. [Downloadable!]
  3. Fu, Haifeng & Xu, Ying & Zhang, Luyi, 2007. "Characterizing Pure-strategy Equilibria in Large Games," MPRA Paper 7514, University Library of Munich, Germany. [Downloadable!]
  4. Edward Cartwright & Myrna Wooders, 2005. "On Purification of Equilibrium in Bayesian Games and Ex-Post Nash Equilibrium," Working Papers 0512, Department of Economics, Vanderbilt University. [Downloadable!]
    Other versions:
  5. M. Khan & Kali Rath & Yeneng Sun, 2006. "The Dvoretzky-Wald-Wolfowitz theorem and purification in atomless finite-action games," International Journal of Game Theory, Springer, vol. 34(1), pages 91-104, April. [Downloadable!] (restricted)
  6. Khan, M. Ali Khan, 2007. "Perfect Competition," MPRA Paper 2202, University Library of Munich, Germany. [Downloadable!]
  7. Guilherme Carmona, 2003. "Nash and Limit Equilibria of Games with a Continuum of Players," Game Theory and Information 0311004, EconWPA. [Downloadable!]
    Other versions:
  8. Lorenzo Rocco, 2007. "Anonymity in nonatomic games," International Review of Economics, Springer, vol. 54(2), pages 225-247, June. [Downloadable!] (restricted)
  9. Ehud Kalai, 2006. "Structural Robustness of Large Games," Discussion Papers 1431, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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