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Elsevier

Equilibrium Models and Variational Inequalities

  • 1st Edition, Volume 210 - February 8, 2007
  • Latest edition
  • Author: Igor Konnov
  • Language: English

The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry,… Read more

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Description

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.

Key features

- 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

Readership

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

Table of contents

PrefaceContentsList of Figures1. IntroductionPart I : Models2. Linear Models in Economics3. Linear Dynamic Models of an Economy4. Optimization and Equilibria5. Nonlinear Economic Equilibrium Models6. Transportation and Migration ModelsPart II : Complementarity Problems7. Complementarity with Z Properties8. Applications9. Complementarity with P Properties10. ApplicationsPart III: Variational Inequalities11. Theory of Variational Inequalities12. Applications13. Projection Type Methods14. Applications of the Projection Methods15. Regularization Methods16. Direct Iterative Methods for Monotone Variational Inequalities17. Solutions to ExercisesBibliographyIndex

Review quotes

"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

Product details

  • Edition: 1
  • Latest edition
  • Volume: 210
  • Published: March 20, 2007
  • Language: English

About the author

IK

Igor Konnov

Affiliations and expertise
Kazan State University, Kazan, Russia

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