Introduction to Equilibrium Analysis

PrefaceChapter 1. An Introductory Outline 1. Introduction 2. Basic Example 3. Improving by Cooperation 4. Decentralization by Prices 5. Coincidence of Two Themes 6. Conjuring Trick 7. Limit Economies and Insignificance 8. From Limits to Limiting Results 9. Back to Walras 10. Less Well Behaved Individuals 11. Forewarned is ForearmedChapter 2. Exchange Economies 1. Introduction 2. Commodity Space 3. Agents' Characteristics 4. Economies 5. AppendixChapter 3. The Core of a Game 1. Introduction 2. Balancedness 3. Non-Classical Exchange Economies 4. AppendixChapter 4. Large Economies 1. Introduction 2. Prices and Demand 3. Walras Equilibrium 4. Economies with a Continuum of AgentsChapter 5. Limit Theorems for the Core 1. Limit Theorem for Replica Economies 2. Limit Theorems for Type Economies 3. Uniform Boundedness of Core Allocations 4. Asymptotic Equal Treatment for Most 5. Asymptotic Equal Treatment for All 6. Proof of Limit Theorem 5.2 7. Emergence of Prices 8. Alternative Proof for Section 6Chapter 6. Existence of Competitive Equilibria 1. Introduction 2. Individual Demand 3. Total Demand 4. Equilibria for Strongly Conve Preferences 5. Equilibria for Economies with Convex Preferences 6. Equilibria without Convexity of Preferences 7. Conclusions 8. AppendixMathematical Appendix I: Topological Concepts in Rl 1. Convergence of R1 2. Closed and Open SetsMathematical Appendix II: Separation TheoremsMathematical Appendix III: Continuous Correspondences 1. Introduction 2. Upper Hemi-Continuous Correspondences 3. Lower Hemi-Continuous Correspondences 4. Continuous CorrespondencesMathematical Appendix IV: Fixed Point TheoremsList of Mathematical SymbolsReferencesAuthor IndexSubject Index