Equilibrium Models and Variational Inequalities

Equilibrium Models and Variational Inequalities

1st Edition - February 8, 2007

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  • Author: Igor Konnov
  • eBook ISBN: 9780080471389

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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
Specialists in Economics, System Analysis, and Applied Mathematics

Table of Contents

  • Preface


    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



Product details

  • No. of pages: 250
  • Language: English
  • Copyright: © Elsevier Science 2007
  • Published: February 8, 2007
  • Imprint: Elsevier Science
  • eBook ISBN: 9780080471389

About the Author

Igor Konnov

Affiliations and Expertise

Kazan State University, Kazan, Russia

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