Closure and Preferences

Christopher Chambers, Alan Miller and M. Bumin Yenmez

No 2015-E36, GSIA Working Papers from Carnegie Mellon University, Tepper School of Business

Abstract: We investigate the results of Kreps (1979), dropping his completeness axiom. As an added generalization, we work on arbitrary lattices, rather than a lattice of sets. We show that one of the properties of Kreps is intimately tied with representation via a closure operator. That is, a preference satis es Kreps' axiom (and a few other mild conditions) if and only if there is a closure operator on the lattice, such that preferences over elements of the lattice coincide with dominance of their closures. We tie the work to recent literature by Richter and Rubinstein (2015). Finally, we carry the concept to the theory of path-independent choice functions.

Date: 2015-10
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://student-3k.tepper.cmu.edu/gsiadoc/WP/2015-E36.pdf
Our link check indicates that this URL is bad, the error code is: 401 Unauthorized

Related works:
Journal Article: Closure and preferences (2020)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cmu:gsiawp:-942662566

Ordering information: This working paper can be ordered from
https://student-3k.t ... /gsiadoc/GSIA_WP.asp

Access Statistics for this paper

More papers in GSIA Working Papers from Carnegie Mellon University, Tepper School of Business Tepper School of Business, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890.
Bibliographic data for series maintained by Steve Spear (ss1f@andrew.cmu.edu).