Equilibrium models and variational inequalities:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier
2007
|
| Series: | Mathematics in science and engineering
210 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 233 S. graph. Darst. |
| ISBN: | 0444530304 9780444530301 |
Staff View
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Record in the Search Index
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| adam_text | EQUILIBRIUM MODELS AND VARIATIONAL INEQUALITIES I.V. KONNOV DEPARTMENT
OF APPLIED MATHEMATICS KAZAN STATE UNIVERSITY KAZAN RUSSIA ELSEVIER
AMSTERDAM - BOSTON - HEIDELBERG - LONDON - NEW YORK - OXFORD PARIS - SAN
DIEGO - SAN FRANCISCO - SINGAPORE - SYDNEY - TOKYO CONTENTS PREFACE V
CONTENTS IX LIST OF FIGURES XIII 1 INTRODUCTION 1 1 MODELS 11 2 LINEAR
MODELS IN ECONOMICS 15 2.1 OPEN INPUT-OUTPUT MODEL 16 2.2
GENERALIZATIONS 20 2.3 CLOSED INPUT-OUTPUT MODEL 22 3 LINEAR DYNAMIC
MODELS OF, AN ECONOMY 29 3.1 EXTENDED DYNAMIC INPUT-OUTPUT MODEL 29 3.2
THE VON NEUMANN MODEL OF AN EXPANDING ECONOMY ... 31 4 OPTIMIZATION AND
EQUILIBRIA 39 4.1 LINEAR PROGRAMMING PROBLEMS 39 4.2 ECONOMIC
INTERPRETATION OF OPTIMALITY CONDITIONS 43 4.3 ECONOMIC INTERPRETATION
OF THE SOLUTION METHOD 45 5 NONLINEAR ECONOMIC EQUILIBRIUM MODELS 51 5.1
CASSEL-WALD TYPE ECONOMIC EQUILIBRIUM MODELS 51 5.2 GENERAL PRICE
EQUILIBRIUM MODELS 52 5.3 SPATIAL PRICE EQUILIBRIUM MODELS 55 5.4
IMPERFECTLY COMPETITIVE EQUILIBRIUM MODELS 60 CONTENTS TRANSPORTATION
AND MIGRATION MODELS 69 6.1 NETWORK EQUILIBRIUM MODELS 69 6.2 MIGRATION
EQUILIBRIUM MODELS 74 II COMPLEMENTARITY PROBLEMS 77 7 COMPLEMENTARITY
WITH Z PROPERTIES 81 7.1 CLASSES OF ^COMPLEMENTARITY PROBLEMS 81 7.2
CLASSES OF SQUARE MATRICES AND THEIR PROPERTIES 83 7.3 COMPLEMENTARITY
PROBLEMS WITH Z COST MAPPINGS . . . . 88 8 APPLICATIONS 95 8.1
INPUT-OUTPUT MODELS 95 8.2 PRICE EQUILIBRIUM MODELS 98 8.3 A PURE TRADE
MARKET MODEL 101 8.4 PRICE OLIGOPOLY MODELS 102 9 COMPLEMENTARITY WITH P
PROPERTIES 105 9.1 EXISTENCE AND UNIQUENESS RESULTS 105 9.2 SOLUTION
METHODS FOR CP S WITH P PROPERTIES ILL 10 APPLICATIONS 115 10.1
WALRASIAN PRICE EQUILIBRIUM MODELS 115 10.2 OLIGOPOLISTIC EQUILIBRIUM
MODELS 121 III VARIATIONAL INEQUALITIES 127 11 THEORY OF VARIATIONAL
INEQUALITIES 131 11.1 VARIATIONAL INEQUALITIES AND RELATED PROBLEMS 131
11.2 EXISTENCE AND UNIQUENESS RESULTS 143 12 APPLICATIONS 149 12.1
CASSEL-WALD EQUILIBRIUM MODELS 149 12.2 WALRASIAN EQUILIBRIUM MODELS AND
THEIR MODIFICATIONS . . . 150 12.3 EXISTENCE RESULTS IN WALRASIAN
EQUILIBRIUM MODELS 157 12.4 IMPERFECT COMPETITION MODELS 159 12.5
NETWORK AND MIGRATION EQUILIBRIUM MODELS 160 CONTENTS XI 13 PROJECTION
TYPE METHODS 163 13.1 THE CLASSICAL PROJECTION METHOD 163 13.2 THE
PROJECTION METHODS WITH LINESEARCH 170 13.3 MODIFICATIONS AND EXTENSIONS
177 14 APPLICATIONS OF THE PROJECTION METHODS 181 14.1 APPLICATIONS TO
VARIATIONAL INEQUALITIES 181 14.2 APPLICATIONS TO SYSTEMS OF VARIATIONAL
INEQUALITIES 184 15 REGULARIZATION METHODS 191 15.1 THE CLASSICAL
REGULARIZATION METHOD AND ITS MODIFICATIONS . 191 15.2 THE PROXIMAL
POINT METHOD 193 16 DIRECT ITERATIVE METHODS FOR MONOTONE VARIATIONAL
IN- EQUALITIES 197 16.1 EXTRAPOLATION METHODS 197 16.2 THE ELLIPSOID
METHOD 202 17 SOLUTIONS TO EXERCISES 205 BIBLIOGRAPHY 229 INDEX 232
|
| adam_txt |
EQUILIBRIUM MODELS AND VARIATIONAL INEQUALITIES I.V. KONNOV DEPARTMENT
OF APPLIED MATHEMATICS KAZAN STATE UNIVERSITY KAZAN RUSSIA ELSEVIER
AMSTERDAM - BOSTON - HEIDELBERG - LONDON - NEW YORK - OXFORD PARIS - SAN
DIEGO - SAN FRANCISCO - SINGAPORE - SYDNEY - TOKYO CONTENTS PREFACE V
CONTENTS IX LIST OF FIGURES XIII 1 INTRODUCTION 1 1 MODELS 11 2 LINEAR
MODELS IN ECONOMICS 15 2.1 OPEN INPUT-OUTPUT MODEL 16 2.2
GENERALIZATIONS 20 2.3 CLOSED INPUT-OUTPUT MODEL 22 3 LINEAR DYNAMIC
MODELS OF, AN ECONOMY 29 3.1 EXTENDED DYNAMIC INPUT-OUTPUT MODEL 29 3.2
THE VON NEUMANN MODEL OF AN EXPANDING ECONOMY . 31 4 OPTIMIZATION AND
EQUILIBRIA 39 4.1 LINEAR PROGRAMMING PROBLEMS 39 4.2 ECONOMIC
INTERPRETATION OF OPTIMALITY CONDITIONS 43 4.3 ECONOMIC INTERPRETATION
OF THE SOLUTION METHOD 45 5 NONLINEAR ECONOMIC EQUILIBRIUM MODELS 51 5.1
CASSEL-WALD TYPE ECONOMIC EQUILIBRIUM MODELS 51 5.2 GENERAL PRICE
EQUILIBRIUM MODELS 52 5.3 SPATIAL PRICE EQUILIBRIUM MODELS 55 5.4
IMPERFECTLY COMPETITIVE EQUILIBRIUM MODELS 60 CONTENTS TRANSPORTATION
AND MIGRATION MODELS 69 6.1 NETWORK EQUILIBRIUM MODELS 69 6.2 MIGRATION
EQUILIBRIUM MODELS 74 II COMPLEMENTARITY PROBLEMS 77 7 COMPLEMENTARITY
WITH Z PROPERTIES 81 7.1 CLASSES OF ^COMPLEMENTARITY PROBLEMS 81 7.2
CLASSES OF SQUARE MATRICES AND THEIR PROPERTIES 83 7.3 COMPLEMENTARITY
PROBLEMS WITH Z COST MAPPINGS . . . . 88 8 APPLICATIONS 95 8.1
INPUT-OUTPUT MODELS 95 8.2 PRICE EQUILIBRIUM MODELS 98 8.3 A PURE TRADE
MARKET MODEL 101 8.4 PRICE OLIGOPOLY MODELS 102 9 COMPLEMENTARITY WITH P
PROPERTIES 105 9.1 EXISTENCE AND UNIQUENESS RESULTS 105 9.2 SOLUTION
METHODS FOR CP'S WITH P PROPERTIES ILL 10 APPLICATIONS 115 10.1
WALRASIAN PRICE EQUILIBRIUM MODELS 115 10.2 OLIGOPOLISTIC EQUILIBRIUM
MODELS 121 III VARIATIONAL INEQUALITIES 127 11 THEORY OF VARIATIONAL
INEQUALITIES 131 11.1 VARIATIONAL INEQUALITIES AND RELATED PROBLEMS 131
11.2 EXISTENCE AND UNIQUENESS RESULTS 143 12 APPLICATIONS 149 12.1
CASSEL-WALD EQUILIBRIUM MODELS 149 12.2 WALRASIAN EQUILIBRIUM MODELS AND
THEIR MODIFICATIONS . . . 150 12.3 EXISTENCE RESULTS IN WALRASIAN
EQUILIBRIUM MODELS 157 12.4 IMPERFECT COMPETITION MODELS 159 12.5
NETWORK AND MIGRATION EQUILIBRIUM MODELS 160 CONTENTS XI 13 PROJECTION
TYPE METHODS 163 13.1 THE CLASSICAL PROJECTION METHOD 163 13.2 THE
PROJECTION METHODS WITH LINESEARCH 170 13.3 MODIFICATIONS AND EXTENSIONS
177 14 APPLICATIONS OF THE PROJECTION METHODS 181 14.1 APPLICATIONS TO
VARIATIONAL INEQUALITIES 181 14.2 APPLICATIONS TO SYSTEMS OF VARIATIONAL
INEQUALITIES 184 15 REGULARIZATION METHODS 191 15.1 THE CLASSICAL
REGULARIZATION METHOD AND ITS MODIFICATIONS . 191 15.2 THE PROXIMAL
POINT METHOD 193 16 DIRECT ITERATIVE METHODS FOR MONOTONE VARIATIONAL
IN- EQUALITIES 197 16.1 EXTRAPOLATION METHODS 197 16.2 THE ELLIPSOID
METHOD 202 17 SOLUTIONS TO EXERCISES 205 BIBLIOGRAPHY 229 INDEX 232 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:14:50Z |
| indexdate | 2024-07-09T20:56:35Z |
| institution | BVB |
| isbn | 0444530304 9780444530301 |
| language | English |
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| series | Mathematics in science and engineering |
| series2 | Mathematics in science and engineering |
| spelling | Konnov, Igor V. 1958- Verfasser (DE-588)12224740X aut Equilibrium models and variational inequalities I. V. Konnov Amsterdam [u.a.] Elsevier 2007 XIII, 233 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics in science and engineering 210 Gleichgewichtsmodell - Variationsungleichung Equilibrium (Economics) Variational inequalities (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Gleichgewichtsmodell (DE-588)4125214-7 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 s Gleichgewichtsmodell (DE-588)4125214-7 s Variationsungleichung (DE-588)4187420-1 s DE-604 Mathematics in science and engineering 210 (DE-604)BV000001196 210 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015599979&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Konnov, Igor V. 1958- Equilibrium models and variational inequalities Mathematics in science and engineering Gleichgewichtsmodell - Variationsungleichung Equilibrium (Economics) Variational inequalities (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Gleichgewichtsmodell (DE-588)4125214-7 gnd |
| subject_GND | (DE-588)4187420-1 (DE-588)4066472-7 (DE-588)4125214-7 |
| title | Equilibrium models and variational inequalities |
| title_auth | Equilibrium models and variational inequalities |
| title_exact_search | Equilibrium models and variational inequalities |
| title_exact_search_txtP | 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 | Gleichgewichtsmodell - Variationsungleichung Equilibrium (Economics) Variational inequalities (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Gleichgewichtsmodell (DE-588)4125214-7 gnd |
| topic_facet | Gleichgewichtsmodell - Variationsungleichung Equilibrium (Economics) Variational inequalities (Mathematics) Variationsungleichung Wirtschaftsmathematik Gleichgewichtsmodell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015599979&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001196 |
| work_keys_str_mv | AT konnovigorv equilibriummodelsandvariationalinequalities |