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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1985
|
| Schriftenreihe: | Econometric Society monographs
9 |
| Schlagworte: | |
| Online-Zugang: | BSB01 UBG01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvii, 373 pages) |
| ISBN: | 9781139052191 |
| DOI: | 10.1017/CCOL0521265142 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043917812 | ||
| 003 | DE-604 | ||
| 005 | 20230227 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161202s1985 |||| o||u| ||||||eng d | ||
| 020 | |a 9781139052191 |c Online |9 978-1-139-05219-1 | ||
| 024 | 7 | |a 10.1017/CCOL0521265142 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781139052191 | ||
| 035 | |a (OCoLC)907963732 | ||
| 035 | |a (DE-599)BVBBV043917812 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-473 | ||
| 082 | 0 | |a 339.5 |2 19eng | |
| 084 | |a QC 140 |0 (DE-625)141254: |2 rvk | ||
| 084 | |a SK 970 |0 (DE-625)143276: |2 rvk | ||
| 100 | 1 | |a Mas-Colell, Andreu |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The theory of general economic equilibrium |b a differentiable approach |c Andreu Mas-Colell |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1985 | |
| 300 | |a 1 online resource (xvii, 373 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Econometric Society monographs |v 9 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 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 |
| 520 | |a 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 | ||
| 650 | 4 | |a Equilibrium (Economics) | |
| 650 | 0 | 7 | |a Gleichgewichtstheorie |0 (DE-588)4071876-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Gleichgewichtstheorie |0 (DE-588)4071876-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-26514-0 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-38870-2 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CCOL0521265142 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029326895 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CCOL0521265142 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CCOL0521265142 |l UBG01 |p ZDB-20-CBO |q UBG_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176835359014912 |
|---|---|
| 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 |
| bvnumber | BV043917812 |
| classification_rvk | QC 140 SK 970 |
| collection | ZDB-20-CBO |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03986nmm a2200493zcb4500</leader><controlfield tag="001">BV043917812</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230227 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161202s1985 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139052191</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-139-05219-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CCOL0521265142</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139052191</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)907963732</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043917812</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-473</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">339.5</subfield><subfield code="2">19eng</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QC 140</subfield><subfield code="0">(DE-625)141254:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 970</subfield><subfield code="0">(DE-625)143276:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mas-Colell, Andreu</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The theory of general economic equilibrium</subfield><subfield code="b">a differentiable approach</subfield><subfield code="c">Andreu Mas-Colell</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1985</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xvii, 373 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Econometric Society monographs</subfield><subfield code="v">9</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Modern general equilibrium theory and the calculus</subfield><subfield code="t"><<The>> return of the differentiability approach</subfield><subfield code="t">Mathematics</subfield><subfield code="t">Point-set topology and metric spaces</subfield><subfield code="t">Some definitions</subfield><subfield code="t">Compactness and connectedness</subfield><subfield code="t">Metric spaces</subfield><subfield code="t"><<The>> Baire property</subfield><subfield code="t"><<The>> space of subsets of a metric space</subfield><subfield code="t">Correspondences</subfield><subfield code="t">Zorn's lemma</subfield><subfield code="t">Linear algebra</subfield><subfield code="t">Linear spaces</subfield><subfield code="t">Linear functions</subfield><subfield code="t">Matrices</subfield><subfield code="t">Determinants</subfield><subfield code="t">Scalar products and orthogonality</subfield><subfield code="t">Eigenvalues and definite matrices</subfield><subfield code="t">Quadratic forms</subfield><subfield code="t">Differential calculus</subfield><subfield code="t">Basic properties of the derivative</subfield><subfield code="t">Implicit function theorems</subfield><subfield code="t">Gradients and second derivatives</subfield><subfield code="t">Smooth optimization</subfield><subfield code="t">First-order necessary conditions</subfield><subfield code="t">Second-order conditions</subfield><subfield code="t">Measures and integrals</subfield><subfield code="t">Measures</subfield><subfield code="t">Integrals</subfield><subfield code="t">Convergence of measures on a metric space</subfield><subfield code="t">Continuity properties</subfield><subfield code="t">Integrals and derivatives</subfield><subfield code="t">Convex sets and functions</subfield><subfield code="t">Convex sets</subfield><subfield code="t">Supporting properties</subfield><subfield code="t">Convex and concave functions</subfield><subfield code="t">Lipschitzian functions</subfield><subfield code="t">Definitions and basic properties</subfield><subfield code="t">The generalized Jacobian</subfield><subfield code="t">Differentiable manifolds</subfield><subfield code="t">Definitions and examples</subfield><subfield code="t">Functions on manifolds</subfield><subfield code="t">Curvature</subfield><subfield code="t">Technical miscellanea</subfield><subfield code="t">Transversality theory</subfield><subfield code="t">The measure of the set of critical values</subfield><subfield code="t">Transversality</subfield><subfield code="t">Miscellanea</subfield><subfield code="t">Degrees, indices, and fixed points</subfield><subfield code="t">The degree of a function</subfield><subfield code="t">Vector fields and fixed points</subfield><subfield code="t">Function spaces</subfield><subfield code="t">Definitions and basic properties</subfield><subfield code="t">Compact sets and measures on function spaces</subfield><subfield code="t">Averages of sets</subfield><subfield code="t">Sums of sets</subfield><subfield code="t">Partial sums</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Equilibrium (Economics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gleichgewichtstheorie</subfield><subfield code="0">(DE-588)4071876-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Gleichgewichtstheorie</subfield><subfield code="0">(DE-588)4071876-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-26514-0</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-38870-2</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CCOL0521265142</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029326895</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CCOL0521265142</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CCOL0521265142</subfield><subfield code="l">UBG01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBG_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043917812 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:38:30Z |
| institution | BVB |
| isbn | 9781139052191 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029326895 |
| oclc_num | 907963732 |
| open_access_boolean | |
| owner | DE-12 DE-473 DE-BY-UBG |
| owner_facet | DE-12 DE-473 DE-BY-UBG |
| physical | 1 online resource (xvii, 373 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO UBG_PDA_CBO |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Econometric Society monographs |
| 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 |