Equilibrium Models and Variational Inequalities, Volume 210
1st Edition
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Table of Contents
Preface
Contents
List of Figures
- Introduction
Part I : Models - Linear Models in Economics
- Linear Dynamic Models of an Economy
- Optimization and Equilibria
- Nonlinear Economic Equilibrium Models
- Transportation and Migration Models
Part II : Complementarity Problems - Complementarity with Z Properties
- Applications
- Complementarity with P Properties
- Applications
Part III: Variational Inequalities - Theory of Variational Inequalities
- Applications
- Projection Type Methods
- Applications of the Projection Methods
- Regularization Methods
- Direct Iterative Methods for Monotone Variational Inequalities
- Solutions to Exercises
Bibliography
Index
Description
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
Readership
This book is intended for: Students and lecturers in Economics and in Applied Mathematics And: Specialists in Economics, System Analysis, and Applied Mathematics
Details
- No. of pages:
- 250
- Language:
- English
- Copyright:
- © Elsevier Science 2007
- Published:
- 8th February 2007
- Imprint:
- Elsevier Science
- Hardcover ISBN:
- 9780444530301
- eBook ISBN:
- 9780080471389
Reviews
"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
Ratings and Reviews
About the Authors
Igor Konnov Author
Affiliations and Expertise
Kazan State University, Kazan, Russia