Scarf’s Lemma and Brauers Theorem

Occupation: Principal Scientific Researcher
Affiliation: Central Economics and Matthematics Institute, Russian Academy of Sciences
Address: Moscow, Russian Federation

Journal name

Ekonomika i matematicheskie metody

Edition

Pages

141-146

Abstract

In the paper (Petri, Voorneveld, 2018) it was proposed an elementary proof of Brouwer’s fixed point theorem. It was founded on some combinatirial statenet called the no-bullying lemma. In this short note we show that this lemma is a reformulation of the famous Scarf Lemma from classical article (Scarf, 1967). We discuss also a relation of no-bullying to the notion of equilibrated states from paper (Danilov, Sotskov, 1987).

Keywords

KKM-theorem, equilibrated state, no-bullying lemma

Received

13.08.2019

Publication date

22.08.2019

Number of characters

15527

Cite

GOST	Danilov V. Scarf’s Lemma and Brauer's Theorem // Ekonomika i matematicheskie metody – 2019. – V. 55. – Issue 3 C. 141-146 [Electronic resource]. URL: https://emm.jes.su/S042473880005771-7-1 (circulation date: 24.04.2024). DOI: 10.31857/S042473880005771-7
MLA	Danilov, Vladimir "Scarf’s Lemma and Brauer's Theorem." Ekonomika i matematicheskie metody 55.3 (2019):141-146. DOI: 10.31857/S042473880005771-7
APA	Danilov V. (2019). Scarf’s Lemma and Brauer's Theorem. Ekonomika i matematicheskie metody 55(3), pp.141-146 DOI: 10.31857/S042473880005771-7

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