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The Existence of Maximal Elements: Generalized Lexicographic Relations

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Author Info
Jens Leth Hougaard (Institute of Economics, University of Copenhagen)
Mich Tvede (Institute of Economics, University of Copenhagen)

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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.

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File URL: http://www.econ.ku.dk/Research/Publications/pink/2001/0105.pdf
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Publisher Info
Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 01-05.

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Length: 9 pages
Date of creation: May 2001
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Handle: RePEc:kud:kuiedp:0105

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Related research
Keywords: Maximal Elements; Binary Relations; Lexicographic Relations;

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Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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  1. Vicki Knoblauch, 2003. "Continuous Lexicographic Preferences," Working papers 2003-31, University of Connecticut, Department of Economics. [Downloadable!]
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