UID:
almahu_9947413733002882
Format:
1 online resource (xvii, 373 pages) :
,
digital, PDF file(s).
ISBN:
9781139052191 (ebook)
Series Statement:
Econometric Society monographs ; 9
Content:
Andreu Mas-Colell has been doing pioneering work using differential topology in the analysis of general equilibrium. This work is regarded as outstanding and one of the major contributions to the development of rigorous economic theory in the last twenty years. The articles he has written have been difficult and technically demanding. In this book he brings this work together to show its scope and its power. He presents the analysis in a way which makes it accessible to the broader range of economic theorists and advanced students. This book has been long awaited as a seminal contribution to the subject.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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Modern general equilibrium theory and the calculus --
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The return of the differentiability approach --
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Mathematics --
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Point-set topology and metric spaces --
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Some definitions --
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Compactness and connectedness --
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Metric spaces --
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The Baire property --
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The space of subsets of a metric space --
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Correspondences --
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Zorn's lemma --
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Linear algebra --
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Linear spaces --
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Linear functions --
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Matrices --
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Determinants --
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Scalar products and orthogonality --
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Eigenvalues and definite matrices --
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Quadratic forms --
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Differential calculus --
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Basic properties of the derivative --
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Implicit function theorems --
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Gradients and second derivatives --
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Smooth optimization --
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First-order necessary conditions --
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Second-order conditions --
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Measures and integrals --
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Measures --
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Integrals --
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Convergence of measures on a metric space --
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Continuity properties --
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Integrals and derivatives --
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Convex sets and functions --
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Convex sets --
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Supporting properties --
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Convex and concave functions --
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Lipschitzian functions --
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Definitions and basic properties --
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The generalized Jacobian --
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Differentiable manifolds --
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Definitions and examples --
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Functions on manifolds --
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Curvature --
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Technical miscellanea --
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Transversality theory --
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The measure of the set of critical values --
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Transversality --
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Miscellanea --
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Degrees, indices, and fixed points --
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The degree of a function --
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Vector fields and fixed points --
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Function spaces --
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Definitions and basic properties --
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Compact sets and measures on function spaces --
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Averages of sets --
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Sums of sets --
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Partial sums.
Additional Edition:
Print version: ISBN 9780521265140
Language:
English
URL:
https://doi.org/10.1017/CCOL0521265142
URL:
Volltext
(lizenzpflichtig)
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