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Fixed Point Theorems with Applications to Economics and Game Theory

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ISBN-10: 0521388082

ISBN-13: 9780521388085

Edition: 1999

Authors: Kim C. Border

List price: $64.99
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This book gives the reader access to the mathematical techniques involved in fixed point theorems and goes on to apply these techniques to prove the existence of equilibria for economics and for cooperative and non-cooperative games.
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Book details

List price: $64.99
Copyright year: 1999
Publisher: Cambridge University Press
Publication date: 7/28/1989
Binding: Paperback
Pages: 140
Size: 5.98" wide x 8.86" long x 0.35" tall
Weight: 0.484
Language: English

Introduction: models and mathematics
Sperner+s lemma
The Knaster-Kuratowski-Mazurkiewicz lemma
Brouwer+s fixed point theorem
Maximization of binary relations
Variational inequalities, price equilibrium, and complementarity
Some interconnections
What good is a completely labelled subsimplex?
Continuity of correspondences
The maximum theorem
Approximation of correspondence
Selection theorems for correspondences
Fixed point theorems for correspondences
Sets with convex sections and a minimax theorem
The Fan-Browder theorem
Equilibrium of excess demand correspondences
Nash equilibrium of games and abstract economies
Walrasian equilibrium of an economy
More interconnections
The Knaster-Kuratowski-Mazurkiewicz-Shapley lemma
Cooperative equilibria of games