Extended Partial Orders: A Unifying Structure For Abstract Choice Theory
AbstractThe concept of a strict extended partial order (SEPO) has turned out to be very useful in explaining (resp. rationalizing) non-binary choice functions. The present paper provides a general account of the concept of extended binary relations, i.e., relations between subsets and elements of a given universal set of alternatives. In particular, we define the concept of a weak extended partial order (WEPO) and show how it can be used in order to represent rankings of opportunity sets that display a "preference for opportunities." We also clarify the relationship between SEPOs and WEPOs, which involves a non-trivial condition, called "strict properness." Several characterizations of strict (and weak) properness are provided based on which we argue for properness as an appropriate condition demarcating "choice based" preference.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by California Davis - Department of Economics in its series Department of Economics with number 97-06.
Date of creation:
Date of revision:
Contact details of provider:
Postal: University of California Davis - Department of Economics. One Shields Ave., California 95616-8578
Phone: (530) 752-0741
Fax: (530) 752-9382
Web page: http://www.econ.ucdavis.edu/
More information through EDIRC
Other versions of this item:
- Klaus Nehring & Clemens Puppe & Selva Demiralp, 2003. "Extended Partial Orders: A Unifying Structure For Abstract Choice Theory," Working Papers 976, University of California, Davis, Department of Economics.
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel).
If references are entirely missing, you can add them using this form.