Fixed Point Theorems with Applications to Economics and Game Theory

Produktbeschreibung

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

Inhaltsverzeichnis

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.