Border, Kim C.
Fixed point theorems with applications to economics and game theory / Kim C. Border.
— Cambridge : Cambridge University Press, 1985. viii, 129 p. : il. ; 24 cm.
Bibliografía: p. [122]-126.
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.
ISBN 0521265649
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