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Intermediate Preferences and Behavioral Conformity in Large Games

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Author Info
GUILHERME CARMONA

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Abstract

Motivated by Wooders, Cartwright, and Selten (2006), we consider games with a continuum of players and intermediate preferences. We show that any such game has a Nash equilibrium that induces a partition of the set of attributes into a bounded number of convex sets with the following property: all players with an attribute in the interior of the same element of the partition play the same action. We then use this result to show that all sufficiently large, equicontinuous games with intermediate preferences have an approximate equilibrium with the same property. Our result on behavior conformity for large finite game generalizes Theorem 3 of Wooders et al. (2006) by allowing both a wider class of preferences and a more general attribute space. Copyright © 2009 Wiley Periodicals, Inc..

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9779.2008.01394.x
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Publisher Info
Article provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.

Volume (Year): 11 (2009)
Issue (Month): 1 (02)
Pages: 9-25
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Handle: RePEc:bla:jpbect:v:11:y:2009:i:1:p:9-25

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Guilherme Carmona, 2004. "Nash Equilibria of Games with a Continuum of Players," Game Theory and Information 0412009, EconWPA. [Downloadable!]
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  2. Wooders, Myrna & Cartwright, Edward & Selten, Reinhard, 2006. "Behavioral conformity in games with many players," Games and Economic Behavior, Elsevier, vol. 57(2), pages 347-360, November. [Downloadable!] (restricted)
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  3. Rashid, Salim, 1983. "Equilibrium points of non-atomic games : Asymptotic results," Economics Letters, Elsevier, vol. 12(1), pages 7-10. [Downloadable!] (restricted)
  4. Rath, Kali P, 1995. "Representation of Finite Action Large Games," International Journal of Game Theory, Springer, vol. 24(1), pages 23-35.
  5. Green, Edward J., 1982. "Continuum and Finite-Player Noncooperative Models of Competition," Working Papers 418, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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