Extended Partial Orders: A Unifying Structure For Abstract Choice Theory
AbstractThe 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.
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Bibliographic InfoPaper provided by University of California, Davis, Department of Economics in its series Working Papers with number 976.
Date of creation: 08 Jan 2003
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- Klaus Nehring & Clemens Puppe, . "Extended Partial Orders: A Unifying Structure For Abstract Choice Theory," Department of Economics 97-06, California Davis - Department of Economics.
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- Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany.
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