Projected Dynamical Systems and Variational Inequalities with Applications

By: Anna Nagurney, Ding Zhang

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Hardcover | 31 December 1995

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Hardcover
324 Pages

Dimensions(cm)
24.77 x 16.51 x 2.54

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Equilibrium is a concept used in operations research and economics to understand the interplay of factors and problems arising from competitive systems in the economic world. The problems in this area are large and complex and have involved a variety of mathematical methodologies.
In this monograph, the authors have widened the scope of theoretical work with a new approach, `projected dynamical systems theory', to previous work in variational inequality theory. While most classical work in this area is static, the introduction to the theory of projected dynamical systems will allow many real-life dynamic situations and problems to be handled and modeled. This monograph includes:

a new theoretical approach, `projected dynamical system', which allows the researcher to model real-life situations more accurately;
new mathematical methods allowing researchers to combine other theoretical approaches with the projected dynamical systems approach;
a framework in which research can adequately model natural, financial and human (real life) situations in competitive equilibrium problems;
the computational and numerical methods for the implementation of the methods and theory discussed in the book;
stability analysis, algorithms and computational procedures are offered for each set of applications.

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Society & Social Sciences Non-Fiction Economics Macroeconomics Business & Management Operational Research Mathematics Optimisation Linear Programming Management & Management Techniques Management of Specific Areas Production of Quality Control Management

Preface
Acknowledgments
Glossary of Notation
Introduction and Overview	p. 3
Projected Dynamical Systems	p. 9
Stability Analysis	p. 45
Discrete Time Algorithms	p. 75
Oligopolistic Market Equilibrium	p. 93
Spatial Price Equilibrium	p. 133
Elastic Demand Traffic Equilibrium	p. 197
Fixed Demand Traffic Equilibrium	p. 267
Index	p. 293
Table of Contents provided by Blackwell. All Rights Reserved.

Projected Dynamical Systems and Variational Inequalities with Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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