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Complementarity, Equilibrium, Efficiency and Economics

  • Book
  • © 2002

Overview

Authors:
  1. G. Isac

    1. Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada

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  2. V. A. Bulavsky

    1. Central Economics Institute (CEMI) of Russian Academy of Sciences, Moscow, Russia

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    You can also search for this author in PubMed   Google Scholar

  3. V. V. Kalashnikov

    1. Central Economics Institute (CEMI) of Russian Academy of Sciences, Moscow, Russia

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

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Economic Models and Complementarity

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 3-18

    3. Optimization Models

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 19-41

    4. General Economic Equilibrium

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 43-58

    5. Models of Oligopoly

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 59-94

    6. Oligopoly with Leaders

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 95-110

  3. General Complementarity Problems

    1. Front Matter

      Pages 111-111
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    2. Complementarity Problems with Respect to General Cones

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 113-148

    3. Pseudomonotone and Implicit Complementarity Problems

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 149-195

  4. Numerical Methods for Solving Complementarity Problems

    1. Front Matter

      Pages 196-196
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    2. Complementarity Pivot Methods

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 197-229

    3. Scarf Type Algorithms

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 231-249

    4. Newton-Like Methods

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 251-272

    5. Parametrization and Reduction to Nonlinear Equations

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 273-297

  5. Efficiency in Abstract Spaces

    1. Front Matter

      Pages 298-298
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    2. Efficiency

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 299-386

    3. Approximative Efficiency

      • G. Isac, V. A. Bulavsky, V. V. Kalashnikov
      Pages 387-434

  6. Back Matter

    Pages 435-449
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada

    G. Isac

  • Central Economics Institute (CEMI) of Russian Academy of Sciences, Moscow, Russia

    V. A. Bulavsky, V. V. Kalashnikov

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