A combinatorial lemma and its applications

DOI10.1186/s13660-016-1043-yzbMath1410.91322OpenAlexW2332833600WikidataQ59472779 ScholiaQ59472779MaRDI QIDQ267700

Piotr Maćkowiak

Publication date: 11 April 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1043-y

zbMATH Keywords

fixed pointequilibriumSperner lemmaBrowder fixed point theoremcombinatorial methodscontinuum of zerosKakutani fixed point theoremzero of a map

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Consumer behavior, demand theory (91B42) Enumerative combinatorics (05A99)

Cites Work

• The computation of fixed points and applications
• On a parameterized system of nonlinear equations with economic applications
• The existence of equilibrium in a simple exchange model
• Rental Harmony: Sperner's Lemma in Fair Division
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