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The Existence of Maximal Elements: Generalized Lexicographic Relations

Author

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  • Jens Leth Hougaard

    (Institute of Economics, University of Copenhagen)

  • Mich Tvede

    (Institute of Economics, University of Copenhagen)

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.

Suggested Citation

  • Jens Leth Hougaard & Mich Tvede, 2001. "The Existence of Maximal Elements: Generalized Lexicographic Relations," Discussion Papers 01-05, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:0105
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    Cited by:

    1. Nikolai Hoberg & Stefan Baumgärtner, 2014. "Value pluralism, trade-offs and efficiencies," Working Paper Series in Economics 311, University of Lüneburg, Institute of Economics.
    2. Knoblauch, Vicki, 2005. "Continuous lexicographic preferences," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 812-825, November.
    3. Mitra, Manipushpak & Sen, Debapriya, 2014. "An alternative proof of Fishburn’s axiomatization of lexicographic preferences," Economics Letters, Elsevier, vol. 124(2), pages 168-170.

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    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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