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Article Dans Une Revue Journal of Optimization Theory and Applications Année : 2022

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

Résumé

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.

Dates et versions

hal-03960256 , version 1 (27-01-2023)

Identifiants

Citer

Thanh Le, Cuong Le Van, Ngoc-Sang Pham, Cagri Saglam. A Direct Proof of the Gale–Nikaido–Debreu Lemma Using Sperner’s Lemma. Journal of Optimization Theory and Applications, 2022, 194 (3), pp.1072-1080. ⟨10.1007/s10957-022-02067-2⟩. ⟨hal-03960256⟩

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