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The theory of general economic equilibrium : a differentiable approach

Author: Andreu Mas-Colell
Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985.
Series: Econometric Society monographs in pure theory, no 9.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

In this book Andreu Mas-Colell brings together work on economic theory written over the last twenty years, based upon his pioneering work in the use of differential topology in the analysis of  Read more...

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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Andreu Mas-Colell
ISBN: 0521265142 9780521265140 0521388708 9780521388702
OCLC Number: 11676139
Notes: Includes indexes.
Description: xvii, 373 pages ; 24 cm.
Contents: Modern general equilibrium theory and the calculus --
The return of the differentiability approach --
Mathematics --
Point-set topology and metric spaces --
Some definitions --
Compactness and connectedness --
Metric spaces --
The Baire property --
The space of subsets of a metric space --
Correspondences --
Zorn's lemma --
Linear algebra --
Linear spaces --
Linear functions --
Matrices --
Determinants --
Scalar products and orthogonality --
Eigenvalues and definite matrices --
Quadratic forms --
Differential calculus --
Basic properties of the derivative --
Implicit function theorems --
Gradients and second derivatives --
Smooth optimization --
First-order necessary conditions --
Second-order conditions --
Measures and integrals --
Measures --
Integrals --
Convergence of measures on a metric space --
Continuity properties --
Integrals and derivatives --
Convex sets and functions --
Convex sets --
Supporting properties --
Convex and concave functions --
Lipschitzian functions --
Definitions and basic properties --
The generalized Jacobian --
Differentiable manifolds --
Definitions and examples --
Functions on manifolds --
Curvature --
Technical miscellanea --
Transversality theory --
The measure of the set of critical values --
Transversality --
Miscellanea --
Degrees, indices, and fixed points --
The degree of a function --
Vector fields and fixed points --
Function spaces --
Definitions and basic properties --
Compact sets and measures on function spaces --
Averages of sets --
Sums of sets --
Partial sums.
Series Title: Econometric Society monographs in pure theory, no 9.
Responsibility: Andreu Mas-Colell.
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'This thorough and lucid account of the use of differential methods in general equilibrium theory since 1970 is the most important new book in mathematical economics in over a decade.' Journal of Read more...

 
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