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The Existence of Maximal Elements: Generalized Lexicographic RelationsJens Leth HougaardUniversity of Copenhagen - Department of Economics Mich TvedeUniversity of Copenhagen - Department of Economics May 21, 2001 University of Copenhagen Dept. of Economics Discussion Paper No. 01-05 Abstract: In the present paper, the existence of maximal elements for binary relations are studied. Generalized lexicographic relations are introduced, and some results on existence of maximal elements are provided. A simple example shows that economies with "lexicographic consumers" need not have equilibria even though demand functions associated with generalized lexicographic relations may be continuous for positive prices.
Number of Pages in PDF File: 10 Keywords: Maximal Elements, Binary Relations, Lexicographic Relations JEL Classification: D11 working papers seriesDate posted: March 21, 2011Suggested CitationContact Information
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