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9780521265645

Fixed Point Theorems With Applications to Economics and Game Theory

by
  • ISBN13:

    9780521265645

  • ISBN10:

    0521265649

  • Format: Hardcover
  • Copyright: 1985-04-26
  • Publisher: Cambridge University Press

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Summary

This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.

Table of Contents

Preface vii
Introduction: models and mathematics
1(8)
Convexity
9(10)
Simplexes
19(4)
Sperner's lemma
23(3)
The Knaster-Kuratowski-Mazurkiewicz lemma
26(2)
Brouwer's fixed point theorem
28(3)
Maximization of binary relations
31(7)
Variational inequalities, price equilibrium, and complementarity
38(6)
Some interconnections
44(6)
What good is a completely labeled subsimplex
50(3)
Continuity of correspondences
53(10)
The maximum theorem
63(4)
Approximation of correspondences
67(2)
Selection theorems for correspondences
69(2)
Fixed point theorems for correspondences
71(3)
Sets with convex sections and a minimax theorem
74(4)
The Fan-Browder theorem
78(3)
Equilibrium of excess demand correspondences
81(7)
Nash equilibrium of games and abstract economies
88(7)
Walrasian equilibrium of an economy
95(9)
More interconnections
104(5)
The Knaster-Kuratowski-Mazurkiewicz-Shapley lemma
109(3)
Cooperative equilibria of games
112(10)
References 122(5)
Index 127

Supplemental Materials

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