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  • © 1996

Projected Dynamical Systems and Variational Inequalities with Applications

Part of the book series: International Series in Operations Research & Management Science (ISOR, volume 2)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxii
  2. Theory of Projected Dynamical Systems

    1. Front Matter

      Pages 1-1
    2. Introduction and Overview

      • Anna Nagurney, Ding Zhang
      Pages 3-7
    3. Projected Dynamical Systems

      • Anna Nagurney, Ding Zhang
      Pages 9-43
    4. Stability Analysis

      • Anna Nagurney, Ding Zhang
      Pages 45-74
    5. Discrete Time Algorithms

      • Anna Nagurney, Ding Zhang
      Pages 75-90
  3. Applications

    1. Front Matter

      Pages 91-91
    2. Oligopolistic Market Equilibrium

      • Anna Nagurney, Ding Zhang
      Pages 93-132
    3. Spatial Price Equilibrium

      • Anna Nagurney, Ding Zhang
      Pages 133-196
    4. Elastic Demand Traffic Equilibrium

      • Anna Nagurney, Ding Zhang
      Pages 197-265
    5. Fixed Demand Traffic Equilibrium

      • Anna Nagurney, Ding Zhang
      Pages 267-292
  4. Back Matter

    Pages 293-296

About this book

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.

Authors and Affiliations

  • School of Management, University of Massachusetts, Amherst, USA

    Anna Nagurney, Ding Zhang

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access