On an Infinite Dimensional Generalization of the Excess Demand Theorem of David Gale Academic Article uri icon

abstract

  • Gale (1955) proved the excess demand theorem (known as the Gale-Nikaido-Debreu theorem) by means of the Knaster-Kuratowski-Mazurkiewicz (KKM) lemma. We gen- eralize the excess demand theorem to infinite dimensional spaces by means of the Fan (1961) infinite dimensional extension of the KKM lemma.

published proceedings

  • Pure and Applied Functional Analysis

author list (cited authors)

  • Cornet, B., Guo, H., & Yannelis, N.

complete list of authors

  • Cornet, Bernard||Guo, Huiyi||Yannelis∗, Nicholas

publication date

  • 2023