Preface 1 Introduction: models and mathematics 2 Convexity 3 Simplexes 4 Sperner's lemma 5 The Knaster-Kuratowski-Mazurkiewicz lemma Brouwer's fixed point theorem Maximization of binary relations Variational inequalities, price equilibrium, and complementarity 9 Some interconnections 10 What good is a completely labeled subsimplex 11 Continuity of correspondences 12 The maximum theoremPreface 1 Introduction: models and mathematics 2 Convexity 3 Simplexes 4 Sperner's lemma 5 The Knaster-Kuratowski-Mazurkiewicz lemma Brouwer's fixed point theorem Maximization of binary relations Variational inequalities, price equilibrium, and complementarity 9 Some interconnections 10 What good is a completely labeled 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 iemma 23 Cooperative equilibria of games References Index