Using Volume to Prove Sperner's Lemma

We provide a novel proof of Sperner's Lemma that is intuitive and elementary if certain simple properties of Lebesgue measure are known.

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Bibliographic Details
Published in:Economic theory 2008-06, Vol.35 (3), p.593-597
Main Authors: McLennan, Andrew, Tourky, Rabee
Format: Article
Language:English
Subjects:
Economic theory
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Economics and Finance
Exposita Note
Exposita Notes
Game Theory
Geometry
Labeling
Lebesgue measures
Mathematical economics
Mathematical functions
Mathematical theorems
Mathematics
Microeconomics
Polynomials
Polytopes
Public Finance
Research grants
Social and Behav. Sciences
Space
Studies
Triangulation
Vertices
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Description
Summary:We provide a novel proof of Sperner's Lemma that is intuitive and elementary if certain simple properties of Lebesgue measure are known.
ISSN:0938-2259
1432-0479
DOI:10.1007/s00199-007-0257-0