Fixed Point Theorems With Applications to Economics and Game Theory

Klappentext This book explores fixed point theorems and its uses in economics! co-operative and noncooperative games. Zusammenfassung Markets are assumed to be in a state of equilibrium. Fixed point theorems explain the circumstances of equilibrium. This book demonstrates the mathematical techniques involved and applies them to co-operative and noncooperative games. This book will be useful as a text or reference work for mathematical economists! graduate and advanced undergraduate students. 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.

Product details

• Authors: Kim C. Border, Kim C. (California Institute of Technology Border, Kim C. (California Institute of Technology) Border, Border Kim C., Border Kim C.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 28.07.1989
• EAN: 9780521388085
• ISBN: 978-0-521-38808-5
• No. of pages: 140
• Subjects: Guides > Law, job, finance; Natural sciences, medicine, IT, technology > Mathematics > Analysis; Social sciences, law, business > Business > General, dictionaries; BUSINESS & ECONOMICS / Econometrics, Economic theory & philosophy, Topology, Economic theory and philosophy