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Equilibrium Models and Variational Inequalities
ID: 172168
Igor Konnov
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
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
172168
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