Arbeitspapier
Extended Partial Orders: A Unifying Structure for Abstract 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.
- Language
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Englisch
- Bibliographic citation
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Series: Working Paper ; No. 97-6
- Classification
-
Wirtschaft
- Event
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Geistige Schöpfung
- (who)
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Nehring, Klaus
Demiralp, Selva
Puppe, Clemens
- Event
-
Veröffentlichung
- (who)
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University of California, Department of Economics
- (where)
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Davis, CA
- (when)
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1997
- Handle
- Last update
-
10.03.2025, 11:41 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Nehring, Klaus
- Demiralp, Selva
- Puppe, Clemens
- University of California, Department of Economics
Time of origin
- 1997
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