Template-Type: ReDIF-Paper 1.0
Author-Name: Klaus Nehring
Author-Name-First: Klaus
Author-Name-Last: Nehring
Author-Name: Selva Demiralp
Author-Name-First: Selva
Author-Name-Last: Demiralp
Author-Name: Clemens Puppe
Author-Name-First: Clemens
Author-Name-Last: Puppe
Author-Workplace-Name: Department of Economics, University of California Davis
Title: EXTENDED PARTIAL ORDERS: A UNIFYING STRUCTURE FOR ABSTRACT CHOICE THEORY
Abstract: The 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.
Length: 24
File-URL: https://repec.dss.ucdavis.edu/files/bLgbUrVHYoptdEmoqihxmbww/97-6.pdf
File-Format: application/pdf
Number: 91
Classification-JEL: 
KeyWords: 
Creation-Date: 20030107
Handle: RePEc:cda:wpaper:91