Fixed point theorems with applications to economics and game theory
Kim C. Border.
Cambridge : Cambridge University Press, 1985.
viii, 129 págs. : ilustraciones ; 24 cm.
ISBN: 0521265649
Bibliografía: p. [122]-126.
Reseña: MathSciNet, 86j:90002
Capítulos
- 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 correspondences
- 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.