On the construction of non-empty choice sets
| dc.contributor.author | Andrikopoulos, A. | en |
| dc.date.accessioned | 2015-11-24T17:05:47Z | |
| dc.date.available | 2015-11-24T17:05:47Z | |
| dc.identifier.issn | 0176-1714 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/11378 | |
| dc.rights | Default Licence | - |
| dc.subject | binary relations | en |
| dc.title | On the construction of non-empty choice sets | en |
| heal.abstract | In this article, we analyze the problem of choice based on potentially ill-behaved binary relations that may fail to possess maximal elements. The approach, which is based on Duggan (Soc Choice Welf 28:491-506, 2007), is to consider every maximal subrelation (resp. minimal superrelation) satisfying a regularity condition (acyclicity, consistency, or negative consistency) and to unify the maximal elements of all such relations. Based on this procedure, we present a characterization of the Smith set, the Duggan set, the Schwartz set, and the generalized stable sets solution of an arbitrary binary relation over non-finite sets. Schwartz's and Van Deemen's results for asymmetric binary relations stated in the finite case, are also extended to this more general framework. Finally, we give a set theoretical description of the Duggan set and show that the Schwartz set offers a refinement of the Duggan set, and the Schwartz and Duggan sets are nested between the union of generalized stable sets and the Smith set. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1007/s00355-011-0531-8 | - |
| heal.identifier.secondary | <Go to ISI>://000300585700006 | - |
| heal.journalName | Social Choice and Welfare | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2012 | - |
| heal.publisher | Springer-Verlag | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Οικονομικών και Κοινωνικών Επιστημών. Τμήμα Οικονομικών Επιστημών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
Αρχεία
Φάκελος/Πακέτο αδειών
1 - 1 of 1
Φόρτωση...
- Ονομα:
- license.txt
- Μέγεθος:
- 1.74 KB
- Μορφότυπο:
- Item-specific license agreed upon to submission
- Περιγραφή: