Article ID: | iaor1999305 |
Country: | Netherlands |
Volume: | 80 |
Issue: | 1 |
Start Page Number: | 27 |
End Page Number: | 48 |
Publication Date: | Jun 1998 |
Journal: | Annals of Operations Research |
Authors: | Puppe Clemens, Nehring Klaus |
Keywords: | choice theory |
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.