Intermediate Preferences and Behavioral Conformity in Large Games
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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Volume (Year): 11 (2009)
Issue (Month): 1 (02)
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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.:
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"Nash Equilibria of Games with a Continuum of Players,"
Game Theory and Information
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Vanderbilt University Department of Economics Working Papers
0513, Vanderbilt University Department of Economics.
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