Fixed Point Theorems with Applications to Economics and Game Theory

Name: Fixed Point Theorems with Applications to Economics and Game Theory
Price: 24.71 USD
Availability: InStock
ISBN: 9780521388085

ISBN-10: 0521388082

ISBN-13: 9780521388085

Edition: 1999

Authors: Kim C. Border

List price: $67.99

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Description:

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.

Book details

List price: $67.99
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



Preface



Introduction: models and mathematics



Convexity



Simplexes



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


References


Index