Equilibrium Models and Variational Inequalities, Volume 210

Preface
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
    Bibliography
    Index

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

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