The existence of maximal elements: Generalized lexicographic relations

Jens Leth Hougaard, Mich Tvede

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)111-115
Number of pages5
JournalJournal of Mathematical Economics
Issue number2
StatePublished - Nov 2001


  • Binary relations
  • D11
  • Lexicographic relations
  • Maximal elements

ASJC Scopus subject areas

  • Economics and Econometrics
  • Applied Mathematics


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