Monotone Games: A Unified Approach to Games with Strategic Complements and Substitutes
Intro -- Preface -- Contents -- List of Figures -- List of Tables -- 1 Introduction -- 2 Elements of Lattice Games -- 2.1 Lattices -- 2.1.1 Partially Ordered Set -- 2.1.2 Join and Meet -- 2.1.3 Lattice -- 2.1.4 Interval -- 2.1.5 Complete Lattice -- 2.1.6 Lattice Set Order -- 2.1.7 Correspondence and Fixed Point -- 2.2 Lattice Game -- 2.2.1 Definition -- 2.2.2 Best Response -- 2.2.3 Nash Equilibrium Set -- 2.2.4 Dominance Solvability and Global Stability -- 2.2.5 Parameterized Lattice Games -- References -- 3 Games with Strategic Complements -- 3.1 Codirectional Incentives -- 3.1.1 Increasing Differences -- 3.1.2 Supermodular Function -- 3.1.3 Single Crossing Property -- 3.1.4 Quasisupermodular Function -- 3.1.5 Increasing Maximizers -- 3.2 Game with Strategic Complements -- 3.2.1 Definition -- 3.2.2 Increasing Best Response -- 3.2.3 Nash Equilibrium Set -- 3.2.4 Dominance Solvability and Global Stability -- 3.2.5 Monotone Comparative Statics of Equilibrium -- References -- 4 Games with Strategic Substitutes -- 4.1 Contradirectional Incentives -- 4.1.1 Decreasing Differences -- 4.1.2 Submodular Function -- 4.1.3 Dual Single Crossing Property -- 4.1.4 Quasisubmodular Function -- 4.1.5 Decreasing Maximizers -- 4.2 Game with Strategic Substitutes -- 4.2.1 Definition -- 4.2.2 Decreasing Best Response -- 4.2.3 Nash Equilibrium Set -- 4.2.4 Dominance Solvability and Global Stability -- 4.2.5 Monotone Comparative Statics of Equilibrium -- References -- 5 Monotone Games -- 5.1 Monotone Incentives -- 5.2 Monotone Game -- 5.2.1 Definition -- 5.2.2 Monotone Best Response -- 5.2.3 Nash Equilibrium Set -- 5.2.4 Dominance Solvability and Global Stability -- 5.2.5 Monotone Comparative Statics of Equilibrium -- References -- Index.