The theory of general economic equilibrium: a differentiable approach
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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1985
|
| Series: | Econometric Society monographs
9 |
| Subjects: | |
| Online Access: | BSB01 UBG01 Volltext |
| Summary: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xvii, 373 pages) |
| ISBN: | 9781139052191 |
| DOI: | 10.1017/CCOL0521265142 |
Staff View
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| 505 | 8 | 0 | |t Modern general equilibrium theory and the calculus |t <<The>> return of the differentiability approach |t Mathematics |t Point-set topology and metric spaces |t Some definitions |t Compactness and connectedness |t Metric spaces |t <<The>> Baire property |t <<The>> space of subsets of a metric space |t Correspondences |t Zorn's lemma |t Linear algebra |t Linear spaces |t Linear functions |t Matrices |t Determinants |t Scalar products and orthogonality |t Eigenvalues and definite matrices |t Quadratic forms |t Differential calculus |t Basic properties of the derivative |t Implicit function theorems |t Gradients and second derivatives |t Smooth optimization |t First-order necessary conditions |t Second-order conditions |t Measures and integrals |t Measures |t Integrals |t Convergence of measures on a metric space |t Continuity properties |t Integrals and derivatives |t Convex sets and functions |t Convex sets |t Supporting properties |t Convex and concave functions |t Lipschitzian functions |t Definitions and basic properties |t The generalized Jacobian |t Differentiable manifolds |t Definitions and examples |t Functions on manifolds |t Curvature |t Technical miscellanea |t Transversality theory |t The measure of the set of critical values |t Transversality |t Miscellanea |t Degrees, indices, and fixed points |t The degree of a function |t Vector fields and fixed points |t Function spaces |t Definitions and basic properties |t Compact sets and measures on function spaces |t Averages of sets |t Sums of sets |t Partial sums |
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Record in the Search Index
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|---|---|
| any_adam_object | |
| author | Mas-Colell, Andreu |
| author_facet | Mas-Colell, Andreu |
| author_role | aut |
| author_sort | Mas-Colell, Andreu |
| author_variant | a m c amc |
| building | Verbundindex |
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| 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 Compact sets and measures on function spaces Averages of sets Sums of sets Partial sums |
| ctrlnum | (ZDB-20-CBO)CR9781139052191 (OCoLC)907963732 (DE-599)BVBBV043917812 |
| dewey-full | 339.5 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 339 - Macroeconomics and related topics |
| dewey-raw | 339.5 |
| dewey-search | 339.5 |
| dewey-sort | 3339.5 |
| dewey-tens | 330 - Economics |
| discipline | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1017/CCOL0521265142 |
| format | Electronic eBook |
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| id | DE-604.BV043917812 |
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| indexdate | 2024-07-10T07:38:30Z |
| institution | BVB |
| isbn | 9781139052191 |
| language | English |
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| publishDate | 1985 |
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| spelling | Mas-Colell, Andreu Verfasser aut The theory of general economic equilibrium a differentiable approach Andreu Mas-Colell Cambridge Cambridge University Press 1985 1 online resource (xvii, 373 pages) txt rdacontent c rdamedia cr rdacarrier Econometric Society monographs 9 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Equilibrium (Economics) Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf Gleichgewichtstheorie (DE-588)4071876-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-26514-0 Erscheint auch als Druckausgabe 978-0-521-38870-2 https://doi.org/10.1017/CCOL0521265142 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mas-Colell, Andreu The theory of general economic equilibrium a differentiable approach 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 Compact sets and measures on function spaces Averages of sets Sums of sets Partial sums Equilibrium (Economics) Gleichgewichtstheorie (DE-588)4071876-1 gnd |
| subject_GND | (DE-588)4071876-1 |
| title | The theory of general economic equilibrium a differentiable approach |
| title_alt | 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 Compact sets and measures on function spaces Averages of sets Sums of sets Partial sums |
| title_auth | The theory of general economic equilibrium a differentiable approach |
| title_exact_search | The theory of general economic equilibrium a differentiable approach |
| title_full | The theory of general economic equilibrium a differentiable approach Andreu Mas-Colell |
| title_fullStr | The theory of general economic equilibrium a differentiable approach Andreu Mas-Colell |
| title_full_unstemmed | The theory of general economic equilibrium a differentiable approach Andreu Mas-Colell |
| title_short | The theory of general economic equilibrium |
| title_sort | the theory of general economic equilibrium a differentiable approach |
| title_sub | a differentiable approach |
| topic | Equilibrium (Economics) Gleichgewichtstheorie (DE-588)4071876-1 gnd |
| topic_facet | Equilibrium (Economics) Gleichgewichtstheorie |
| url | https://doi.org/10.1017/CCOL0521265142 |
| work_keys_str_mv | AT mascolellandreu thetheoryofgeneraleconomicequilibriumadifferentiableapproach |