Cover image for General Equilibrium Analysis of Production and Increasing Returns.
General Equilibrium Analysis of Production and Increasing Returns.
Title:
General Equilibrium Analysis of Production and Increasing Returns.
Author:
Suzuki, Takashi.
ISBN:
9789812833327
Personal Author:
Physical Description:
1 online resource (285 pages)
Series:
Series on Mathematical Economics and Game Theory, 4 ; v.v. 4

Series on Mathematical Economics and Game Theory, 4
Contents:
CONTENTS -- PREFACE -- 1. INTRODUCTION -- 1.1. From the 19th Century to the 1940s -- 1.2. After the 1950s -- Existence of Equilibrium and Core Limit Theorem -- 1.3. The Local Uniqueness and Stability of Equilibria -- 1.4. Markets with a Continuum of Traders -- 1.5. Increasing Returns and Monopolistic Competition -- 1.6. Markets with Infinitely Many Commodities -- 1.7. The Organization of the Book -- 1.8. Notes -- 2. CLASSICAL EXCHANGE ECONOMIES -- 2.1. Commodities and Markets -- 2.2. The Preference of a Consumer -- 2.3. The Demand of a Consumer -- 2.4. The Demand Theory -- 2.5. Competitive Equilibria of a Classical Exchange Economy -- 2.6. A Limit Theorem of the Core of a Classical Exchange Economy -- 2.7. Nash Equilibria and the Core of Games -- 2.8. The Local Uniqueness of Equilibria -- 2.9. Notes -- 3. ECONOMIES WITH A CONTINUUM OF TRADERS -- 3.1. Markets with a Measure Space of Consumers -- 3.2. Spaces of Preferences -- 3.3. Existence of Competitive Equilibria -- 3.4. The Equivalence of the Core and Equilibria -- 3.5. Exchange Economies with a Non-Convex Consumption Set -- 3.6. Production Economies with a Non-Convex Consumption Set -- 3.7. On The Law of Demand -- 3.8. Notes -- 4. PRODUCTION ECONOMIES WITH INCREASING RETURNS -- 4.1. Classical Production Economies with Competitive Firms -- 4.2. Core of an Economy with Increasing Returns -- 4.3. Production Economies with External Increasing Returns -- 4.4. Pareto Optimality and Tax Policies -- 4.5. Notes -- 5. ECONOMIES WITH INFINITELY MANY COMMODITIES -- 5.1. Markets with In.nitely Many Commodities -- 5.2. Exchange Economies with In.nite Time Horizon -- 5.3. Exchange Economies with Differentiated Commodities -- 5.4. Exchange Economies on a General Banach Space -- 5.5. Infinite Time Horizon Economies with External Increasing Returns -- 5.6. On the Differentiability of Demand -- 5.7. Notes.

6. ECONOMIES WITH MONOPOLISTICALLY COMPETITIVE FIRMS -- 6.1. Monopolistically Competitive Markets -- 6.2. Existence of Equilibria with Pricing Rules -- 6.3. Monopolistically Competitive Equilibria Under Convex Technologies -- 6.4. Monopolistically Competitive Equilibria with Fixed Costs -- 6.5. Notes -- APPENDIX A. CONVEX SETS AND FUNCTIONS -- APPENDIX B. ELEMENTS OF GENERAL TOPOLOGY -- APPENDIX C. METRIC SPACES -- APPENDIX D. CONTINUITY OF CORRESPONDENCES -- APPENDIX E. DIFFERENTIAL CALCULUS AND MANIFOLDS -- APPENDIX F. SPACES OF CLOSED SETS -- APPENDIX G. MEASURE AND INTEGRATION -- APPENDIX H. BANACH SPACES AND RELATED TOPICS -- APPENDIX I. NOTES -- REFERENCES -- INDEX.
Abstract:
A unique feature of the book compared to classical monographs on GE is its emphasis on the historical nature of the subject, and not only the mathematical nature. Students are expected to learn that those mathematically formidable techniques are indeed necessary for tackling many economic problems which have been significant not only in the mathematical or technical context, but also in the historical and traditional context.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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