General Equilibrium Theory: An Introduction
Cambridge University Press
Edition: 2, 4/25/2011
EAN 9780521826457, ISBN10: 0521826454
Hardcover, 380 pages, 25.3 x 21.5 x 2.2 cm
Language: English
General Equilibrium Theory: An Introduction presents the mathematical economic theory of price determination and resource allocation from elementary to advanced levels, suitable for advanced undergraduates and graduate students of economics. This Arrow–Debreu model (known for two of its most prominent founders, both Nobel Laureates) is the basis of modern price theory and of a wide range of applications. The new edition updates discussion throughout and expands the number and variety of exercises. It offers a revised and extended treatment of core convergence, including the case of non-convex preferences, and introduces the investigation of approximate equilibrium with U-shaped curves and non-convex preferences.
Part I. General Equilibrium Theory
Getting Acquainted
1. Concept and history of general equilibrium theory
2. An elementary general equilibrium model - the Robinson Crusoe economy
3. The Edgeworth box
4. Integrating production and multiple consumption decisions
a 2 x 2 x 2 model
5. Existence of general equilibrium in an economy with an excess demand function
Part II. Mathematics
6. Logic and set theory
7. RN
real N-dimensional Euclidean space
8. Convex sets, separation theorems, and non-convex sets in RN
9. The Brouwer fixed point theorem
Part III. An Economy with Bounded Production Technology, Supply and Demand Functions
10. Markets, prices, commodities, and mathematical economic theory
11. Production with bounded firm technology
12. Households
13. A market economy
14. General equilibrium of the market economy with an excess demand function
Part IV. An Economy with Unbounded Production Technology, Supply and Demand Functions
15. Theory of production
the unbounded technology case
16. Households
the unbounded technology case
17. A market economy
the unbounded technology case
18. General equilibrium of the market economy
the unbounded technology case
Part V. Welfare Economics and the Scope of Markets
19. Pareto efficiency and competitive equilibrium
20. Time and uncertainty
futures markets
Part VI. Bargaining and Equilibrium
The Core
21. The core of a market economy
22. Convergence of the core of a large economy
Part VII. An Economy with Supply and Demand Correspondences
23. Mathematics
analysis of point to set mappings
24. General equilibrium of the market economy with an excess demand correspondence
25. U-shaped cost curves and concentrated preferences
Part VIII. Standing on the Shoulders of Giants
26. Next steps
27. Summary and conclusion.