Equilibrium Models and Variational Inequalities

I.V. Konnov (Eds.)0444530304, 9780444530301, 9780080471389

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

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Table of contents :
Content:
Preface
Pages v-vii
Igor Konnov

List of figures
Page xiii

Chapter 1 Introduction Original Research Article
Pages 1-10

Chapter 2 Linear models in economics Original Research Article
Pages 15-27

Chapter 3 Linear dynamic models of an economy Original Research Article
Pages 29-37

Chapter 4 Optimization and equilibria Original Research Article
Pages 39-49

Chapter 5 Nonlinear economic equilibrium models Original Research Article
Pages 51-68

Chapter 6 Transportation and migration models Original Research Article
Pages 69-75

Chapter 7 Complementarity with Z properties Original Research Article
Pages 81-94

Chapter 8 Applications Original Research Article
Pages 95-104

Chapter 9 Complementarity with P properties Original Research Article
Pages 105-114

Chapter 10 Applications Original Research Article
Pages 115-126

Chapter 11 Theory of variational inequalities Original Research Article
Pages 131-147

Chapter 12 Applications Original Research Article
Pages 149-162

Chapter 13 Projection type methods Original Research Article
Pages 163-180

Chapter 14 Applications of the projection methods Original Research Article
Pages 181-189

Chapter 15 Regularization methods Original Research Article
Pages 191-195

Chapter 16 Direct iterative methods for monotone variational inequalities Original Research Article
Pages 197-204

Chapter 17 Solutions to exercises Original Research Article
Pages 205-227

Bibliography
Pages 229-231

Index
Pages 232-235