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

被引：0
|
作者：
Thanh Le
Cuong Le Van
Ngoc-Sang Pham
Cagri Saglam
机构：
[1] University of Wollongong,Department of Economics
[2] IPAG Business School,undefined
[3] Paris School of Economics TIMAS,undefined
[4] EM Normandie Business School,undefined
[5] Metis Lab,undefined
[6] Bilkent University,undefined
来源：
Journal of Optimization Theory and Applications | 2022年 / 194卷
关键词：
Sperner lemma; Simplex; Subdivision; Fixed point theorem; Gale–Nikaido–Debreu lemma; General equilibrium;
D O I：
暂无
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学科分类号：
摘要：
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.
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页码：1072 / 1080
页数：8
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