http://ifile.it/1vewxrg
Publisher: JAI Press
Number Of Pages: 310
Publication Date: 1988-09-01
ISBN-10 / ASIN: 0444705112
ISBN-13 / EAN: 9780444705112
Product Description:
This book has its origins in a previous volume by the same authors, ``Introduction to Equilibrium Analysis''. Within the context of the exchange economy two solutions or themes proposed by Walras and Edgeworth are developed. The first consists of finding those allocations obtained through the decentralization of the choices of individuals by prices. The second, of allocations which are not objected to coalitions by individuals.
This volume should be suitable for final year undergraduate courses or for graduate students. A thorough understanding of the material treated here will be invaluable to the reader in appreciating the economic literature. In particular, he will learn to treat with caution many of the assertions found in that literature.
Preface v
Chapter 1. Introduction 1
1. Introduction 1
2. A Simple Example 2
3. First Theme: Decentralization by Prices (Walras) 7
4. Second Theme: Improving by Cooperation (Edgeworth) ... 13
5. The Relation between the Two Themes 18
6. A Conjuring Trick 29
7. Limit Economies and the Importance of Being Insignificant . . 32
8. Back to Walras 34
9. Less Well Behaved Individuals 38
10. What Other Features Does Walras' Theme Have? 42
11. What Hope for Uniqueness? 46
12. Stability 48
13. To What Avail? 49
Chapter 2. Exchange Economies 51
1. Introduction
2. The Commodity Space
3. Agents' Characteristics
4. An Exchange Economy and its Core
5. Prices and Demand: The Competitive
6. Walras Equilibrium
7. Appendix to Chapter 2
Chapter 3. Existence of Competitive Equilibrium 89
1. Introduction 89
2. Individual Demand 91
3. Total Demand 96
4. Existence of Equilibria: Strongly Convex Preferences 98
5. Economies without Convex Preferences 115
6. Conclusion 122
Chapter 4. The Core of a Game 123
1. Introduction 123
2. Balancedness 128
3. Some Non-classical Exchange Economies 139
4. Appendix to Chapter 4 152
Chapter 5. Core and Competitive Equilibria 163
1. Introduction 163
2. Replica Economies 165
3. Economies with a Continuum of Agents 178
4. Finite Economies 185
5. More General Limit Theorems 190
Chapter 6. Structure, Uniqueness and Stability 199
1. Introduction 199
2. Structure: Properties of Excess Demand 202
3. Income Distribution and Properties of Excess Demand . . . 212
4. Uniqueness 222
5. Stability 232
6. Tatonnement in Continuous Time 236
7. Conclusions 239
Mathematical Appendix I. Topological Concepts in R* . 241
1. Convergence in Rl . . . . 242
2. Closed and Open Sets 243
Mathematical Appendix II. Separation of Convex Sets . 251
Mathematical Appendix III. Continuous Correspondences 257
1. Introduction 257
2. Upper Hemi-Continuous Correspondences 259
3. Lower Hemi-Continuous Correspondences 269
4. Continuous Correspondences 273
Mathematical Appendix IV. Fixed Point Theorems . . . 277
List of Mathematical Symbols 285
References 289
Author Index 293
Subject Index 295