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Equilibrium analysis: variations on themes by Edgeworth and Walras

Author: Hildenbrand, W. ; Kirman, A. P. Series: Advanced textbooks in economics ; 28 Publisher: North-Holland, 1988.Language: EnglishDescription: 297 p. : Graphs ; 23 cm.ISBN: 0444705112Type of document: BookBibliography/Index: Includes bibliographical references and index
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Item type Current location Collection Call number Status Date due Barcode Item holds
Book Europe Campus
Main Collection
Print HB145 .H55 1988
(Browse shelf)
001256871
Available 001256871
Total holds: 0

Includes bibliographical references and index

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Equilibrium Analysis Variations on themes by Edgeworth and Walras Contents 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 ............................................................................................. 51 2. The Commodity Space ............................................................................ 53 3. Agents' Characteristics ............................................................................ 54 4. An Exchange Economy and its Core ....................................................... 70 5. Prices and Demand: The Competitive Model ......................................... 76 6. Walras Equilibrium .................................................................................. 82 7. Appendix to Chapter 2 ............................................................................. 85 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. Tâtonnement in Continuous Time ........................................................... 236 7. Conclusions .............................................................................................. 239 Mathematical Appendix I. Topological Concepts in Rl ......................... 241 1. Convergence in Rl .................................................................................... 242 2. Closed and Open Sets .............................................................................. 243 Mathematical Appendix IL 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

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