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
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- Wooders, Myrna & Cartwright, Edward & Selten, Reinhard, 2006.
"Behavioral conformity in games with many players,"
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- Myrna Wooders & Edward Cartwright & Reinhard Selten, 2005. "Behavioral Conformity in Games with Many Players," Vanderbilt University Department of Economics Working Papers 0513, Vanderbilt University Department of Economics.
- Rath, Kali P, 1995. "Representation of Finite Action Large Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(1), pages 23-35.
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