Economics for mathematicians /
This is the expanded notes of a course intended to introduce students specializing in mathematics to some of the central ideas of traditional economics. The book should be readily accessible to anyone with some training in university mathematics; more advanced mathematical tools are explained in the...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1981.
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| Series: | London Mathematical Society lecture note series ;
62. |
| Subjects: | |
| Online Access: | CONNECT |
Table of Contents:
- Cover; Title; Copyright; Contents; Preface; Notation; Chapter 1. UTILITY, INDIFFERENCE SURFACES; 1. Preliminaries; 2. Budget constraints; 3. Indifference hypersurfaces; 4. Utility functions; Exercises; Chapter 2. PURE EXCHANGE ECONOMY; 1. Introduction; 2. The Edgeworth box; 3. Existence of competitive allocations; 4. Replicated economies; 5. Non-convex economies; Exercises; Chapter 3. THEORY OF THE FIRM; 1. Introduction; 2. Supply and demand; 3. Perfect competition; 4. Monopoly; 5. Duopoly; 6. Oligopoly; 7. Factor costs; Exercises; Chapter 4. WELFARE ECONOMICS; 1. Introduction; 2. Public good
- 3. Service subject to congestion4. Increasing returns to scale; 5. Externalities; 6. Arrow's impossibility theorem; Exercises; 3. The Sraffa and Marx models; Chapter 5. LINEAR ECONOMIC MODELS; 1. Introduction; 2. Closed and open Leontieff models; 4. The Gale economy; 5. von Neumann model; 6. Turnpike theorems; Exercises; Chapter 6. SIMPLE MACROECONOMIC MODELS; 1. Introduction; 2. An ultrasimple model; 3. Government; 4. Employment; 5. Prices; 6. Interest; 7. Money; 8. The labour market; 9. Full employment; 10. Unemployment; 11. The long term; Definition of symbols; Exercises
- Appendix A. CONVEX SETS1. Fundamentals; 2. Separation theorems; 3. Differential properties; Exercises; Appendix B. THE BROUWER FIXED POINT THEORSM; Addendum. Kakutani's theorem; Appendix C. NON-NEGATIVE MATRICES; Exercises; Index
