Extended partial orders:A unifying structure for abstract choice theory

Klaus Nehring and Clemens Puppe ()

Annals of Operations Research, 1998, vol. 80, issue 0, 27-48

Abstract: The concept of a strict extended partial order (SEPO) has turned out to be very useful inexplaining (resp. rationalizing) non-binary choice functions. The present paper provides ageneral account of the concept of extended binary relations, i.e. relations between subsetsand elements of a given universal set of alternatives. In particular, we define the concept ofa weak extended partial order (WEPO) and show how it can be used in order to representrankings of opportunity sets that display a “preference for opportunities”. We also clarifythe 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 “choicebased” preference. Copyright Kluwer Academic Publishers 1998

Date: 1998
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Working Paper: EXTENDED PARTIAL ORDERS: A UNIFYING STRUCTURE FOR ABSTRACT CHOICE THEORY
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DOI: 10.1023/A:1018924200436

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