Fixed Point Theorems with Applications to Economics and Game Theory

Reprint
  • 4.00 ·
  • 1 Rating
  • 1 Want to read
  • 0 Currently reading
  • 1 Have read
Not in Library

My Reading Lists:

Create a new list

Check-In

×Close
Add an optional check-in date. Check-in dates are used to track yearly reading goals.
Today

  • 4.00 ·
  • 1 Rating
  • 1 Want to read
  • 0 Currently reading
  • 1 Have read

Buy this book

Last edited by ImportBot
October 7, 2020 | History

Fixed Point Theorems with Applications to Economics and Game Theory

Reprint
  • 4.00 ·
  • 1 Rating
  • 1 Want to read
  • 0 Currently reading
  • 1 Have read

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

Publish Date
Language
English
Pages
144

Buy this book

Previews available in: English

Edition Availability
Cover of: Fixed Point Theorems with Applications to Economics and Game Theory
Fixed Point Theorems with Applications to Economics and Game Theory
2011, Cambridge University Press
in English
Cover of: Fixed Point Theorems with Applications to Economics and Game Theory
Fixed Point Theorems with Applications to Economics and Game Theory
1999, Cambridge University Press
Paperback in English - Reprint
Cover of: Fixed Point Theorems with Applications to Economics and Game Theory
Fixed Point Theorems with Applications to Economics and Game Theory
1986, Cambridge University Press
in English
Cover of: Fixed point theorems with applications to economics and game theory
Fixed point theorems with applications to economics and game theory
1985, Cambridge University Press
in English

Add another edition?

Book Details


Published in

Cambridge, UK

First Sentence

"Denote the reals by R, the nonnegative reals by R+ and the strictly positive reals by R++."

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.

Edition Notes

Copyright Date
1985

Classifications

Library of Congress
QA329.9

The Physical Object

Format
Paperback
Pagination
viii,129p.
Number of pages
144
Dimensions
9 x 6 x 0.5 inches
Weight
7.7 ounces

ID Numbers

Open Library
OL7739039M
ISBN 10
0521388082
ISBN 13
9780521388085
OCLC/WorldCat
230898640
Amazon ID (ASIN)
0521388082
Google
6MUzEjqNI_EC
Library Thing
1927949
Goodreads
469867
47469243

Community Reviews (0)

Feedback?
No community reviews have been submitted for this work.

Lists

See All

History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
October 7, 2020 Edited by ImportBot import existing book
July 31, 2020 Edited by ImportBot import existing book
July 30, 2019 Edited by Lisa Added new cover
July 30, 2019 Edited by Lisa Edited without comment.
April 29, 2008 Created by an anonymous user Imported from amazon.com record.