A Note on Semiorders and Choice Functions.
Abstract
With P a binary preference relation on a set of decision alternatives let C(X) be the P-maximal in X for each non-empty subset X of alternatives. Conditions on the choice function C are given for each of five types of P relations so that the conditions on C hold if and only if the P relation is of the specified type. The types of relations covered are acyclic orders, strict partial orders, semitransitive orders, interval orders and semiorders. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1974
- Accession Number
- AD0786195
Entities
People
- Peter C. Fishburn
Organizations
- Pennsylvania State University