Equilibrium Models and Variational Inequalities

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, it is also suitable for the future.

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
- Describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transport and migration equilibrium models
- Covers the basics of theory and solution for both complementarity and variational inequality problems
- economic methods for applications and exercises to economic equilibrium models

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. Complementurity 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