Mathematics in Science and Engineering

Volume 210

By: Igor Konnov

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Hardcover | 20 March 2007 | Edition Number 210

At a Glance

Hardcover
250 Pages

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23.5 x 15.88 x 1.27

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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. - Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field - Is suitable for students, lecturers and specialists both in Economics and in Applied Mathematics - 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

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"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

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You Can Find This Book In

Non-Fiction Mathematics Algebra Calculus & Mathematical Analysis Calculus of Variations Engineering & Technology Mechanical Engineering & Materials Mechanical Engineering Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Applied Mathematics

Numerical Analysis Optimisation Game Theory Economics Econometrics

Preface Contents
List of Figures
Introduction
Modelslt
Linear Models in Economics
Linear Dynamic Models of an Economy
Optimization and Equilibria
Nonlinear Economic Equilibrium Models
Transportation and Migration Models
Complementarity Problemslt
Complementarity with Z Properties
Applications
Complementarity with P Properties
Applications
Variational Inequalitieslt
Theory of Variational Inequalities
Applications
Projection Type Methods
Applications of the Projection Methods
Regularization Methods
Direct Iterative Methods for Monotone Variational Inequalities
Solutions to Exercises
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Mathematics in Science and Engineering

Volume 210

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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