Published May 2009
| Version Accepted Version
Journal Article
Open
Supermodularity and preferences
Abstract
We uncover the complete ordinal implications of supermodularity on finite lattices under the assumption of weak monotonicity. In this environment, we show that supermodularity is ordinally equivalent to the notion of quasisupermodularity introduced by Milgrom and Shannon. We conclude that supermodularity is a weak property, in the sense that many preferences have a supermodular representation.
Additional Information
© 2008 Elsevier Inc. Received 6 May 2008; accepted 11 June 2008. Available online 21 June 2008. We are very grateful to John Quah and Eran Shmaya, who each independently suggested a different proof of our main theorem; the current proof follows their ideas. We also thank Françoise Forges, Paul J. Healy, Laurent Mathevet, Preston McAfee, Ed Schlee, Itai Sher, Yves Sprumont, Leeat Yariv, Bill Zame and seminar participants at various institutions. Finally, we are especially grateful to Chris Shannon for comments and suggestions on a previous draft. We acknowledge the support of the NSF through grant SES-0751980.Attached Files
Accepted Version - chambers-echenique-SP-JET.pdf
Files
chambers-echenique-SP-JET.pdf
Additional details
Identifiers
- Eprint ID
- 20223
- Resolver ID
- CaltechAUTHORS:20100929-143716093
Funding
- NSF
- SES-0751980
Dates
- Created
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2010-09-30Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field