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Complementarity, Equilibrium, Efficiency and Economics

  • G. Isac
  • V. A. Bulavsky
  • V. V. Kalashnikov

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 63)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Economic Models and Complementarity

    1. Front Matter
      Pages 1-1
    2. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 3-18
    3. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 19-41
    4. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 43-58
    5. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 59-94
    6. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 95-110
  3. General Complementarity Problems

    1. Front Matter
      Pages 111-111
    2. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 113-148
    3. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 149-195
  4. Numerical Methods for Solving Complementarity Problems

    1. Front Matter
      Pages 196-196
    2. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 197-229
    3. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 231-249
    4. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 251-272
    5. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 273-297
  5. Efficiency in Abstract Spaces

    1. Front Matter
      Pages 298-298
    2. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 299-386
    3. G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 387-434
  6. Back Matter
    Pages 435-449

About this book

Introduction

In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented.
Audience: Researchers and graduate students interested in complementarity theory, in economics, in optimization, and in applied mathematics.

Keywords

algorithm algorithms complementarity economic systems efficiency equilibrium mathematics numerical methods optimization

Authors and affiliations

  • G. Isac
    • 1
  • V. A. Bulavsky
    • 2
  • V. V. Kalashnikov
    • 2
  1. 1.Department of Mathematics and Computer ScienceRoyal Military College of CanadaKingstonCanada
  2. 2.Central Economics Institute (CEMI) of Russian Academy of SciencesMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3623-6
  • Copyright Information Springer-Verlag US 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-5223-3
  • Online ISBN 978-1-4757-3623-6
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site