Kim C. Border, Border Kim C.

Fixed Point Theorems with Applications to Economics and Game Theory

• Broschiertes Buch

Produktbeschreibung

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

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 140
• Erscheinungstermin: 10. April 2003
• Englisch
• Abmessung: 229mm x 152mm x 8mm
• Gewicht: 215g
• ISBN-13: 9780521388085
• ISBN-10: 0521388082
• Artikelnr.: 22129554

Inhaltsangabe

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.