Browsing by Subject "Sperner lemma"
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Item Open Access A direct proof of the Gale–Nikaido–Debreu lemma using Sperner’s lemma(Springer, 2022-09) Le, T.; Le Van, C.; Pham, N.-S.; Sağlam, ÇağrıThe 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.