Hildenbrand / Kirman / Bliss Introduction to Equilibrium Analysis

Variations on Themes by Edgeworth and Walras
1. Auflage 2014
ISBN: 978-1-4832-7526-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band Volume 6, 232 Seiten, Web PDF

Reihe: Advanced Textbooks in Economics

Advanced Textbooks in Economics, Volume 6: Introduction to Equilibrium Analysis: Variations on Themes by Edgeworth and Walras focuses on the approaches developed and instituted by Edgeworth and Walras in the study of equilibrium analysis. The book first underscores exchange economies, core of a game, and large economies. Discussions focus on economies with a continuum of agents, Walras equilibrium, prices and demand, balancedness, and commodity space. The manuscript then ponders on limit theorems for the core and existence of competitive equilibria. Topics include equilibria without convexity of preferences, existence of equilibria for economies with convex preferences, individual demand, emergence of prices, asymptotic equal treatment for most, uniform boundedness of core allocations, and limit theorems for type and replica economies. The publication examines continuous, upper, and lower hemi-continuous correspondences, fixed point theorems, and separation of convex sets. The book is a vital source of data for economists and researchers interested in equilibrium analysis.

Autoren/Hrsg.

Hildenbrand, W.

Kirman, A. P.

Bliss, C. J.

Intriligator, M. D.

Inhaltsverzeichnis

1;Front Cover;1
2;Introduction to Equilibrium Analysis: Variations on themes by Edgeworth and Walras;7
3;Copyright Page;8
4;Preface;9
5;Table of Contents;11
6;Chapter 1. An introductory outline;13
6.1;1. Introduction;13
6.2;2. Basic example;13
6.3;3. Improving by
cooperation;17
6.4;4. Second theme:
Decentralization by prices;21
6.5;5.The
Coincidence of two themes;30
6.6;6. Conjuring trick;35
6.7;7. Limit economies and the imortance of being
insignificance;37
6.8;8. From limits to limiting results;38
6.9;9. Back to Walras;40
6.10;10. Less well behaved individuals;43
6.11;11. Forewarned is forearmed;45
7;Chapter 2. Exchange economies;47
7.1;1. Introduction;47
7.2;2.The
Commodity space;48
7.3;3. Agents' characteristics;49
7.4;4. Economies;60
7.5;5. Appendix to
ch.2;65
8;Chapter 3. The core of a game;77
8.1;1. Introduction;77
8.2;2. Balancedness;81
8.3;3. Some Non-classical
exchange economies;88
8.4;4. Appendix to ch.
3;98
9;Chapter 4. Large economies;105
9.1;1. Introduction;105
9.2;2. Prices and demand;106
9.3;3. Walras equilibrium;109
9.4;4. Economies with a continuum of agents;117
10;Chapter 5. Limit theorems for the core;127
10.1;1. Limit theorem for replica economies;127
10.2;2. Limit theorems for type economies;131
10.3;3. Uniform boundedness of core allocations;138
10.4;4. Asymptotic equal treatment for most;142
10.5;5. Asymptotic equal treatment for all;147
10.6;6. Proof of the
limit theorem 5.2;152
10.7;7. The Emergence
of prices;153
10.8;8. Alternative proof for section 6;157
11;Chapter 6. Existence of competitive equilibria;159
11.1;1. Introduction;159
11.2;2. Individual demand;161
11.3;3. Total demand;165
11.4;4. Existence of eqilibria: strongly convex
preferences;166
11.5;5. Existence of equilibria for economies with convex preferences;174
11.6;6. Equilibria without convexity of preferences;177
11.7;7. Conclusions;181
11.8;8.
Appendix to ch. 6;182
12;Mathematical appendix I: Topological concepts in Rl;187
12.1;1. Convergence in Rl;188
12.2;2. Closed and open sets;188
13;Mathematical appendix II: Separation of convex sets;195
14;Mathematical appendix III: Continuous correspondences;199
14.1;1. Introduction;199
14.2;2. Upper hemi-continuous correspondences;200
14.3;3. Lower hemi-continuous correspondences;207
14.4;4. Continuous correspondences;210
15;Mathematical appendix IV: Fixed point theorems;213
16;List of mathematical symbols;217
17;References;221
18;Author index;225
19;Subject index;227