Equilibrium Models and Variational Inequalities, Volume 210

1st Edition

Authors: Igor Konnov
Print ISBN: 9780444550866
eBook ISBN: 9780080471389
Imprint: Elsevier Science
Published Date: 8th February 2007
Page Count: 250
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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.

Key Features

  • 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


This book is intended for: Students and lecturers in Economics and in Applied Mathematics And: Specialists in Economics, System Analysis, and Applied Mathematics

Table of Contents

List of Figures

  1. Introduction
    Part I : Models
  2. Linear Models in Economics
  3. Linear Dynamic Models of an Economy
  4. Optimization and Equilibria
  5. Nonlinear Economic Equilibrium Models
  6. Transportation and Migration Models
    Part II : Complementarity Problems
  7. Complementarity with Z Properties
  8. Applications
  9. Complementarity with P Properties
  10. Applications
    Part III: Variational Inequalities
  11. Theory of Variational Inequalities
  12. Applications
  13. Projection Type Methods
  14. Applications of the Projection Methods
  15. Regularization Methods
  16. Direct Iterative Methods for Monotone Variational Inequalities
  17. Solutions to Exercises


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Elsevier Science
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About the Author

Igor Konnov

Affiliations and Expertise

Kazan State University, Kazan, Russia


"By presenting a unifying view on equilibrium concepts in economics in an accessible and elegant way, this book fills an important gap in the xisting literature. It is recommended to researchers and graduate students working in theoretical aspects of mathematical equilibrium and/or applications to economic equilibrium models. However, a careful selection from the topics of the book together with necessary simplifications could also be used in an undergraduate course."--Mathematical Reviews