A Direct Proof of the Gale–Nikaido–Debreu Lemma Using Sperner’s Lemma

Article dans une revue: The Gale–Nikaido–Debreu lemma plays an important role in establishing the existence of competitive equilibrium. In this paper, we use Sperner’s lemma and basic elements of topology to prove the Gale–Nikaido–Debreu lemma.

Auteur(s)

Thanh Le, Cuong Le Van, Ngoc-Sang Pham, Cagri Saglam

Revue
  • Journal of Optimization Theory and Applications
Date de publication
  • 2022
Mots-clés
  • Sperner lemma
  • Simplex
  • Subdivision
  • Fixed point theorem
  • Gale–Nikaido–Debreu lemma
  • General equilibrium
Pages
  • 1072-1080
URL de la notice HAL
Version
  • 1
Volume
  • 194