Equilibrium Models and Variational Inequalities book cover

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, 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.

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

Hardbound, 250 Pages

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


  • Preface
    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


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