Chapter

Intersections and Fixed Points

S. N. Afriat

in Logic of Choice and Economic Theory

Published in print November 1987 | ISBN: 9780198284611
Published online November 2003 | e-ISBN: 9780191595844 | DOI: http://dx.doi.org/10.1093/0198284616.003.0031
 Intersections and Fixed Points

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This is the last of three chapters on general mathematics as applied to economics, and presents a treatment of intersections and fixed points. The eight sections of the chapter are: simplices and dissections; Sperner's lemma; the KKM lemma; Brouwer's fixed point theorem; the theorems of Kakutani and von Neumann; the Nash equilibrium; saddle points; and BASIC games.

Keywords: Brouwer's fixed point theorem; fixed points; intersections; Kakutani's theorem; KKM lemma; mathematical economics; Nash equilibrium; saddle points; simplices; Sperner's lemma; von Neumann's theorem

Chapter.  9002 words.  Illustrated.

Subjects: Microeconomics

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