Fixed Point Theorems with Applications to Economics and Game Theory

Fixed Point Theorems with Applications to Economics and Game Theory

by Kim C. Border
     
 

This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.See more details below

Overview

This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.

Product Details

ISBN-13:
9780521388085
Publisher:
Cambridge University Press
Publication date:
04/28/2003
Edition description:
REPRINT
Pages:
140
Product dimensions:
5.98(w) x 8.98(h) x 0.31(d)

Table of Contents

Preface; 1. Introduction: models and mathematics; 2. Convexity; 3. Simplexes; 4. Sperner's lemma; 5. The Knaster-Kuratowski-Mazurkiewicz lemma; 6. Brouwer's fixed point theorem; 7. Maximization of binary relations; 8. Variational inequalities, price equilibrium, and complementarity; 9. Some interconnections; 10. What good is a completely labelled subsimplex?; 11. Continuity of correspondences; 12. The maximum theorem; 13. Approximation of correspondence; 14. Selection theorems for correspondences; 15. Fixed point theorems for correspondences; 16. Sets with convex sections and a minimax theorem; 17. The Fan-Browder theorem; 18. Equilibrium of excess demand correspondences; 19. Nash equilibrium of games and abstract economies; 20. Walrasian equilibrium of an economy; 21. More interconnections; 22. The Knaster-Kuratowski-Mazurkiewicz-Shapley lemma; 23. Cooperative equilibria of games; References; Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >