General Equilibrium Theory: An IntroductionCambridge University Press, 2011 M04 25 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. |
Contents
1 | |
B Mathematics | 67 |
C An economy with bounded production technology | 109 |
D An economy with unbounded production technology | 161 |
E Welfare economics and the scope of markets | 203 |
The core | 249 |
G An economy with supply and demand correspondences | 275 |
H Standing on the shoulders of giants | 323 |
335 | |
341 | |
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Common terms and phrases
artificially bounded Assume assumptions attainable Bi(p Brouwer Fixed-Point Theorem budget constraint budget set C.IV C.VI(SC C.VII Chapter characterized coalition compact competitive equilibrium consumption plan consumption set contingent commodity continuous function convex hull convex set convex valued core allocation correspondence Ď¹ Ď¹(p Debreu defined definition demand behavior demonstrate denoted Di(p Edgeworth box efficient allocation endowment equilibrium allocation equilibrium price vector excess demand function finite firms and households fixed point fulfilled Fundamental Theorem futures markets Hence income indifference curves inputs Kakutani Fixed-Point Theorem large economy Lemma lower hemicontinuous market clearing mathematical maximization nonconvex nonempty nonnegative output oysters P.VI Pareto efficient price vector production plans production technology profits proof pure exchange economy represents result Š³ sequence Shapley-Folkman simplex subset technology set Theorem of Welfare unbounded upper hemicontinuous utility function Walras's Law Welfare Economics