Topological vector spaces admissible in economic equilibrium theory

1 Citation (Scopus)

Abstract

In models of economic equilibrium in markets with infinitely many commodities, the commodity space is an ordered topological vector space endowed with additional structure. In the present paper, we consider ordered topological vector spaces which are admissible (for equilibrium analysis) in the sense that every economy which is reasonably well behaved posesses an equilibrium. It turns out that this condition may be characterized in terms of topology and order. This characterization implies that the commodity space has the structure of a Kakutani space.
Original languageEnglish
JournalJournal of Mathematical Analysis and Applications
Volume351
Issue number2
Pages (from-to)675 - 681
Number of pages7
ISSN0022-247X
DOIs
Publication statusPublished - 2009

Keywords

  • Faculty of Social Sciences
  • Kakutani space

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