Equilibrium Models and Variational Inequalities


  • Igor Konnov, Kazan State University, Kazan, Russia

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


Book information

  • Published: February 2007
  • Imprint: ELSEVIER
  • ISBN: 978-0-444-53030-1


"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

Table of 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