Fixed Point Theorems with Applications to Economics and Game Theory - Info and Reading Options
By Kim C. Border
"Fixed Point Theorems with Applications to Economics and Game Theory" was published by Cambridge University Press in 1999 - Cambridge, UK, it has 144 pages and the language of the book is English.
“Fixed Point Theorems with Applications to Economics and Game Theory” Metadata:
- Title: ➤ Fixed Point Theorems with Applications to Economics and Game Theory
- Author: Kim C. Border
- Language: English
- Number of Pages: 144
- Publisher: Cambridge University Press
- Publish Date: 1999
- Publish Location: Cambridge, UK
“Fixed Point Theorems with Applications to Economics and Game Theory” Subjects and Themes:
- Subjects: ➤ Fixed point theory - Game theory - Mathematical Economics - Economía matematica - Economie politique - Jeux, théorie des - Teoria dos jogos - Point fixe, Théorème du - Teoría de punto fijo - Teoría de los juegos - Economia matemática - Mathématiques économiques - Modèles mathématiques - Economics, mathematical
Edition Specifications:
- Format: Paperback
- Weight: 7.7 ounces
- Dimensions: 9 x 6 x 0.5 inches
- Pagination: viii,129p.
Edition Identifiers:
- Google Books ID: 6MUzEjqNI_EC
- The Open Library ID: OL7739039M - OL5367594W
- Online Computer Library Center (OCLC) ID: 230898640
- ISBN-13: 9780521388085 - 9780521265645
- ISBN-10: 0521388082
- All ISBNs: 0521388082 - 9780521388085 - 9780521265645
AI-generated Review of “Fixed Point Theorems with Applications to Economics and Game Theory”:
"Fixed Point Theorems with Applications to Economics and Game Theory" Table Of Contents:
- 1- Preface
- 2- 1. Introduction: models and mathematics
- 3- 2. Convexity
- 4- 3. Simplexes
- 5- 4. Sperner's lemma
- 6- 5. The Knaster-Kuratowski-Mazurkiewicz lemma
- 7- 6. Brouwer's fixed point theorem
- 8- 7. Maximization of binary relations
- 9- 8. Variational inequalities, price equilibrium, and complementarity
- 10- 9. Some interconnections
- 11- 10. What good is a completely labelled subsimplex?
- 12- 11. Continuity of correspondences
- 13- 12. The maximum theorem
- 14- 13. Approximation of correspondence
- 15- 14. Selection theorems for correspondences
- 16- 15. Fixed point theorems for correspondences
- 17- 16. Sets with convex sections and a minimax theorem
- 18- 17. The Fan-Browder theorem
- 19- 18. Equilibrium of excess demand correspondences
- 20- 19. Nash equilibrium of games and abstract economies
- 21- 20. Walrasian equilibrium of an economy
- 22- 21. More interconnections
- 23- 22. The Knaster-Kuratowski-Mazurkiewicz-Shapley lemma
- 24- 23. Cooperative equilibria of games
- 25- References
- 26- Index.
Snippets and Summary:
Denote the reals by R, the nonnegative reals by R+ and the strictly positive reals by R++.
"Fixed Point Theorems with Applications to Economics and Game Theory" Description:
The Open Library:
Fixed point theorems outline the conditions under which sets of assumptions have a solution and can be used to determine if it is possible for a market to be in equilibrium. This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to prove the existence of equilibria for economics and for cooperative and non-cooperative games. Special emphasis is given to economies and games in cases where the preferences of agents may not be transitive. --back cover
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