Equilibrium models and variational inequalities /:
The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam ; Boston :
Elsevier,
2007.
|
| Ausgabe: | 1st ed. |
| Schriftenreihe: | Mathematics in science and engineering ;
v. 210. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences. - Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field - Describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transportation and migration equilibrium models - Covers the basics of theory and solution methods both for the complementarity and variational inequality problems - The methods are illustrated by applications and exercises to economic equilibrium models. |
| Beschreibung: | 1 online resource (xiii, 235 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 229-231) and index. |
| ISBN: | 9780444530301 0444530304 9780080471389 0080471382 1280962607 9781280962608 9786610962600 661096260X |
| ISSN: | 0076-5392 ; |
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| 245 | 1 | 0 | |a Equilibrium models and variational inequalities / |c I.V. Konnov. |
| 250 | |a 1st ed. | ||
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| 300 | |a 1 online resource (xiii, 235 pages) : |b illustrations | ||
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| 490 | 1 | |a Mathematics in science and engineering, |x 0076-5392 ; |v v. 210 | |
| 520 | |a The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences. - Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field - Describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transportation and migration equilibrium models - Covers the basics of theory and solution methods both for the complementarity and variational inequality problems - The methods are illustrated by applications and exercises to economic equilibrium models. | ||
| 504 | |a Includes bibliographical references (pages 229-231) and index. | ||
| 505 | 0 | |a Cover -- Front Cover -- Equilibrium Models and Variational Inequalities -- Copyright Page -- Preface -- Table of Contents -- List of Figures -- Chapter 1 Introduction -- Part I MODELS -- Chapter 2 Linear Models in Economics -- 2.1 Open input-output model -- 2.2 Generalizations -- 2.3 Closed input-output model -- Chapter 3 Linear Dynamic Models of an Economy -- 3.1 Extended dynamic input-output model -- 3.2 The von Neumann model of an expanding economy -- Chapter 4 Optimization and Equilibria -- 4.1 Linear programming problems -- 4.2 Economic interpretation of optimality conditions -- 4.3 Economic interpretation of the solution method -- Chapter 5 Nonlinear Economic Equilibrium Models -- 5.1 Cassel-Wald type economic equilibrium models -- 5.2 General price equilibrium models -- 5.3 Spatial price equilibrium models -- 5.4 Imperfectly competitive equilibrium models -- Chapter 6 Transportation and Migration Models -- 6.1 Network equilibrium models -- 6.2 Migration equilibrium models -- Part II COMPLEMENTARITY PROBLEMS -- Chapter 7 Complementarity with Z Properties -- 7.1 Classes of complementarity problems -- 7.2 Classes of square matrices and their properties -- 7.3 Complementarity problems with Z cost mappings -- Chapter 8 Applications -- 8.1 Input-output models -- 8.2 Price equilibrium models -- 8.3 A pure trade market model -- 8.4 Price oligopoly models -- Chapter 9 Complementarity with P Properties -- 9.1 Existence and uniqueness results -- 9.2 Solution methods for CP's with P properties -- Chapter 10 Applications -- 10.1 Walrasian price equilibrium models -- 10.2 Oligopolistic equilibrium models -- Part III VARIATIONAL INEQUALITIES -- Chapter 11 Theory of Variational Inequalities -- 11.1 Variational inequalities and related problems -- 11.2 Existence and uniqueness results -- Chapter 12 Applications -- 12.1 Cassel-Wald equilibrium models -- 12.2 Walrasian equilibrium models and their modifications -- 12.3 Existence results in Walrasian equilibrium models -- 12.4 Imperfect competition models -- 12.5 Network and migration equilibrium models -- Chapter 13 Projection Type Methods -- 13.1 The classical projection method -- 13.2 The projection methods with linesearch -- 13.3 Modifications and extensions -- Chapter 14 Applications of the Projection Methods -- 14.1 Applications to variational inequalities -- 14.2 Applications to systems of variational inequalities -- Chapter 15 Regularization Methods -- 15.1 The classical regularization method and its modifications -- 15.2 The proximal point method -- Chapter 16 Direct Iterative Methods for Monotone Variational Inequalities -- 16.1 Extrapolation methods -- 16.2 The ellipsoid method -- Chapter 17 Solutions to Exercises -- Bibliography -- Index -- Last Page. | |
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 650 | 0 | |a Variational inequalities (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85142097 | |
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| 650 | 6 | |a Inégalités variationnelles. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
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| contents | Cover -- Front Cover -- Equilibrium Models and Variational Inequalities -- Copyright Page -- Preface -- Table of Contents -- List of Figures -- Chapter 1 Introduction -- Part I MODELS -- Chapter 2 Linear Models in Economics -- 2.1 Open input-output model -- 2.2 Generalizations -- 2.3 Closed input-output model -- Chapter 3 Linear Dynamic Models of an Economy -- 3.1 Extended dynamic input-output model -- 3.2 The von Neumann model of an expanding economy -- Chapter 4 Optimization and Equilibria -- 4.1 Linear programming problems -- 4.2 Economic interpretation of optimality conditions -- 4.3 Economic interpretation of the solution method -- Chapter 5 Nonlinear Economic Equilibrium Models -- 5.1 Cassel-Wald type economic equilibrium models -- 5.2 General price equilibrium models -- 5.3 Spatial price equilibrium models -- 5.4 Imperfectly competitive equilibrium models -- Chapter 6 Transportation and Migration Models -- 6.1 Network equilibrium models -- 6.2 Migration equilibrium models -- Part II COMPLEMENTARITY PROBLEMS -- Chapter 7 Complementarity with Z Properties -- 7.1 Classes of complementarity problems -- 7.2 Classes of square matrices and their properties -- 7.3 Complementarity problems with Z cost mappings -- Chapter 8 Applications -- 8.1 Input-output models -- 8.2 Price equilibrium models -- 8.3 A pure trade market model -- 8.4 Price oligopoly models -- Chapter 9 Complementarity with P Properties -- 9.1 Existence and uniqueness results -- 9.2 Solution methods for CP's with P properties -- Chapter 10 Applications -- 10.1 Walrasian price equilibrium models -- 10.2 Oligopolistic equilibrium models -- Part III VARIATIONAL INEQUALITIES -- Chapter 11 Theory of Variational Inequalities -- 11.1 Variational inequalities and related problems -- 11.2 Existence and uniqueness results -- Chapter 12 Applications -- 12.1 Cassel-Wald equilibrium models -- 12.2 Walrasian equilibrium models and their modifications -- 12.3 Existence results in Walrasian equilibrium models -- 12.4 Imperfect competition models -- 12.5 Network and migration equilibrium models -- Chapter 13 Projection Type Methods -- 13.1 The classical projection method -- 13.2 The projection methods with linesearch -- 13.3 Modifications and extensions -- Chapter 14 Applications of the Projection Methods -- 14.1 Applications to variational inequalities -- 14.2 Applications to systems of variational inequalities -- Chapter 15 Regularization Methods -- 15.1 The classical regularization method and its modifications -- 15.2 The proximal point method -- Chapter 16 Direct Iterative Methods for Monotone Variational Inequalities -- 16.1 Extrapolation methods -- 16.2 The ellipsoid method -- Chapter 17 Solutions to Exercises -- Bibliography -- Index -- Last Page. |
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| discipline | Mathematik |
| edition | 1st ed. |
| format | Electronic eBook |
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If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences. - Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field - Describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transportation and migration equilibrium models - Covers the basics of theory and solution methods both for the complementarity and variational inequality problems - The methods are illustrated by applications and exercises to economic equilibrium models.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 229-231) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Cover -- Front Cover -- Equilibrium Models and Variational Inequalities -- Copyright Page -- Preface -- Table of Contents -- List of Figures -- Chapter 1 Introduction -- Part I MODELS -- Chapter 2 Linear Models in Economics -- 2.1 Open input-output model -- 2.2 Generalizations -- 2.3 Closed input-output model -- Chapter 3 Linear Dynamic Models of an Economy -- 3.1 Extended dynamic input-output model -- 3.2 The von Neumann model of an expanding economy -- Chapter 4 Optimization and Equilibria -- 4.1 Linear programming problems -- 4.2 Economic interpretation of optimality conditions -- 4.3 Economic interpretation of the solution method -- Chapter 5 Nonlinear Economic Equilibrium Models -- 5.1 Cassel-Wald type economic equilibrium models -- 5.2 General price equilibrium models -- 5.3 Spatial price equilibrium models -- 5.4 Imperfectly competitive equilibrium models -- Chapter 6 Transportation and Migration Models -- 6.1 Network equilibrium models -- 6.2 Migration equilibrium models -- Part II COMPLEMENTARITY PROBLEMS -- Chapter 7 Complementarity with Z Properties -- 7.1 Classes of complementarity problems -- 7.2 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| genre | dissertations. aat Academic theses fast Academic theses. lcgft http://id.loc.gov/authorities/genreForms/gf2014026039 Thèses et écrits académiques. rvmgf |
| genre_facet | dissertations. Academic theses Academic theses. Thèses et écrits académiques. |
| id | ZDB-4-EBA-ocn162131542 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:06Z |
| institution | BVB |
| isbn | 9780444530301 0444530304 9780080471389 0080471382 1280962607 9781280962608 9786610962600 661096260X |
| issn | 0076-5392 ; |
| language | English |
| oclc_num | 162131542 |
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| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 235 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Elsevier, |
| record_format | marc |
| series | Mathematics in science and engineering ; |
| series2 | Mathematics in science and engineering, |
| spelling | Konnov, Igor, 1958- https://id.oclc.org/worldcat/entity/E39PCjwJkhtX8r8Fh3gkw9m3HC http://id.loc.gov/authorities/names/n00100232 Equilibrium models and variational inequalities / I.V. Konnov. 1st ed. Amsterdam ; Boston : Elsevier, 2007. 1 online resource (xiii, 235 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering, 0076-5392 ; v. 210 The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences. - Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field - Describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transportation and migration equilibrium models - Covers the basics of theory and solution methods both for the complementarity and variational inequality problems - The methods are illustrated by applications and exercises to economic equilibrium models. Includes bibliographical references (pages 229-231) and index. Cover -- Front Cover -- Equilibrium Models and Variational Inequalities -- Copyright Page -- Preface -- Table of Contents -- List of Figures -- Chapter 1 Introduction -- Part I MODELS -- Chapter 2 Linear Models in Economics -- 2.1 Open input-output model -- 2.2 Generalizations -- 2.3 Closed input-output model -- Chapter 3 Linear Dynamic Models of an Economy -- 3.1 Extended dynamic input-output model -- 3.2 The von Neumann model of an expanding economy -- Chapter 4 Optimization and Equilibria -- 4.1 Linear programming problems -- 4.2 Economic interpretation of optimality conditions -- 4.3 Economic interpretation of the solution method -- Chapter 5 Nonlinear Economic Equilibrium Models -- 5.1 Cassel-Wald type economic equilibrium models -- 5.2 General price equilibrium models -- 5.3 Spatial price equilibrium models -- 5.4 Imperfectly competitive equilibrium models -- Chapter 6 Transportation and Migration Models -- 6.1 Network equilibrium models -- 6.2 Migration equilibrium models -- Part II COMPLEMENTARITY PROBLEMS -- Chapter 7 Complementarity with Z Properties -- 7.1 Classes of complementarity problems -- 7.2 Classes of square matrices and their properties -- 7.3 Complementarity problems with Z cost mappings -- Chapter 8 Applications -- 8.1 Input-output models -- 8.2 Price equilibrium models -- 8.3 A pure trade market model -- 8.4 Price oligopoly models -- Chapter 9 Complementarity with P Properties -- 9.1 Existence and uniqueness results -- 9.2 Solution methods for CP's with P properties -- Chapter 10 Applications -- 10.1 Walrasian price equilibrium models -- 10.2 Oligopolistic equilibrium models -- Part III VARIATIONAL INEQUALITIES -- Chapter 11 Theory of Variational Inequalities -- 11.1 Variational inequalities and related problems -- 11.2 Existence and uniqueness results -- Chapter 12 Applications -- 12.1 Cassel-Wald equilibrium models -- 12.2 Walrasian equilibrium models and their modifications -- 12.3 Existence results in Walrasian equilibrium models -- 12.4 Imperfect competition models -- 12.5 Network and migration equilibrium models -- Chapter 13 Projection Type Methods -- 13.1 The classical projection method -- 13.2 The projection methods with linesearch -- 13.3 Modifications and extensions -- Chapter 14 Applications of the Projection Methods -- 14.1 Applications to variational inequalities -- 14.2 Applications to systems of variational inequalities -- Chapter 15 Regularization Methods -- 15.1 The classical regularization method and its modifications -- 15.2 The proximal point method -- Chapter 16 Direct Iterative Methods for Monotone Variational Inequalities -- 16.1 Extrapolation methods -- 16.2 The ellipsoid method -- Chapter 17 Solutions to Exercises -- Bibliography -- Index -- Last Page. Print version record. English. Variational inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85142097 Equilibrium (Economics) http://id.loc.gov/authorities/subjects/sh85044538 Inégalités variationnelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Equilibrium (Economics) fast Variational inequalities (Mathematics) fast dissertations. aat Academic theses fast Academic theses. lcgft http://id.loc.gov/authorities/genreForms/gf2014026039 Thèses et écrits académiques. rvmgf has work: Equilibrium models and variational inequalities (Text) https://id.oclc.org/worldcat/entity/E39PCH3R8dWxv34frcDPkpF6PP https://id.oclc.org/worldcat/ontology/hasWork Print version: Konnov, Igor, 1958- Equilibrium models and variational inequalities. 1st ed. Amsterdam ; Boston : Elsevier, 2007 9780444530301 0444530304 (DLC) 2006052175 (OCoLC)74967026 Mathematics in science and engineering ; v. 210. 0076-5392 http://id.loc.gov/authorities/names/n42015986 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=187420 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/bookseries/00765392/210 Volltext |
| spellingShingle | Konnov, Igor, 1958- Equilibrium models and variational inequalities / Mathematics in science and engineering ; Cover -- Front Cover -- Equilibrium Models and Variational Inequalities -- Copyright Page -- Preface -- Table of Contents -- List of Figures -- Chapter 1 Introduction -- Part I MODELS -- Chapter 2 Linear Models in Economics -- 2.1 Open input-output model -- 2.2 Generalizations -- 2.3 Closed input-output model -- Chapter 3 Linear Dynamic Models of an Economy -- 3.1 Extended dynamic input-output model -- 3.2 The von Neumann model of an expanding economy -- Chapter 4 Optimization and Equilibria -- 4.1 Linear programming problems -- 4.2 Economic interpretation of optimality conditions -- 4.3 Economic interpretation of the solution method -- Chapter 5 Nonlinear Economic Equilibrium Models -- 5.1 Cassel-Wald type economic equilibrium models -- 5.2 General price equilibrium models -- 5.3 Spatial price equilibrium models -- 5.4 Imperfectly competitive equilibrium models -- Chapter 6 Transportation and Migration Models -- 6.1 Network equilibrium models -- 6.2 Migration equilibrium models -- Part II COMPLEMENTARITY PROBLEMS -- Chapter 7 Complementarity with Z Properties -- 7.1 Classes of complementarity problems -- 7.2 Classes of square matrices and their properties -- 7.3 Complementarity problems with Z cost mappings -- Chapter 8 Applications -- 8.1 Input-output models -- 8.2 Price equilibrium models -- 8.3 A pure trade market model -- 8.4 Price oligopoly models -- Chapter 9 Complementarity with P Properties -- 9.1 Existence and uniqueness results -- 9.2 Solution methods for CP's with P properties -- Chapter 10 Applications -- 10.1 Walrasian price equilibrium models -- 10.2 Oligopolistic equilibrium models -- Part III VARIATIONAL INEQUALITIES -- Chapter 11 Theory of Variational Inequalities -- 11.1 Variational inequalities and related problems -- 11.2 Existence and uniqueness results -- Chapter 12 Applications -- 12.1 Cassel-Wald equilibrium models -- 12.2 Walrasian equilibrium models and their modifications -- 12.3 Existence results in Walrasian equilibrium models -- 12.4 Imperfect competition models -- 12.5 Network and migration equilibrium models -- Chapter 13 Projection Type Methods -- 13.1 The classical projection method -- 13.2 The projection methods with linesearch -- 13.3 Modifications and extensions -- Chapter 14 Applications of the Projection Methods -- 14.1 Applications to variational inequalities -- 14.2 Applications to systems of variational inequalities -- Chapter 15 Regularization Methods -- 15.1 The classical regularization method and its modifications -- 15.2 The proximal point method -- Chapter 16 Direct Iterative Methods for Monotone Variational Inequalities -- 16.1 Extrapolation methods -- 16.2 The ellipsoid method -- Chapter 17 Solutions to Exercises -- Bibliography -- Index -- Last Page. Variational inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85142097 Equilibrium (Economics) http://id.loc.gov/authorities/subjects/sh85044538 Inégalités variationnelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Equilibrium (Economics) fast Variational inequalities (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85142097 http://id.loc.gov/authorities/subjects/sh85044538 http://id.loc.gov/authorities/genreForms/gf2014026039 |
| title | Equilibrium models and variational inequalities / |
| title_auth | Equilibrium models and variational inequalities / |
| title_exact_search | Equilibrium models and variational inequalities / |
| title_full | Equilibrium models and variational inequalities / I.V. Konnov. |
| title_fullStr | Equilibrium models and variational inequalities / I.V. Konnov. |
| title_full_unstemmed | Equilibrium models and variational inequalities / I.V. Konnov. |
| title_short | Equilibrium models and variational inequalities / |
| title_sort | equilibrium models and variational inequalities |
| topic | Variational inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85142097 Equilibrium (Economics) http://id.loc.gov/authorities/subjects/sh85044538 Inégalités variationnelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Equilibrium (Economics) fast Variational inequalities (Mathematics) fast |
| topic_facet | Variational inequalities (Mathematics) Equilibrium (Economics) Inégalités variationnelles. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. dissertations. Academic theses Academic theses. Thèses et écrits académiques. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=187420 https://www.sciencedirect.com/science/bookseries/00765392/210 |
| work_keys_str_mv | AT konnovigor equilibriummodelsandvariationalinequalities |