Title

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

Publication Name

Journal of Optimization Theory and Applications

Abstract

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.

Open Access Status

This publication is not available as open access

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Link to publisher version (DOI)

http://dx.doi.org/10.1007/s10957-022-02067-2