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The Theory of Oligopoly with Multi-Product Firms

  • Book
  • © 1990

Overview

Authors:
  1. Koji Okuguchi

    1. Department of Economics, Tokyo Metropolitan University, Meguro-ku, Tokyo, Japan

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  2. Ferenc Szidarovszky

    1. Institute of Mathematics and Computer Science, University of Economics, Budapest, Hungary

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 342)

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Table of contents (6 chapters)

  1. Front Matter

    Pages N2-V
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  2. Introduction

    • Koji Okuguchi, Ferenc Szidarovszky
    Pages 1-2

  3. Oligopoly Games and Their Extensions

    • Koji Okuguchi, Ferenc Szidarovszky
    Pages 2-14

  4. Existence and Uniqueness Results

    • Koji Okuguchi, Ferenc Szidarovszky
    Pages 14-40

  5. Dynamic Oligopoly with Discrete Time Scale

    • Koji Okuguchi, Ferenc Szidarovszky
    Pages 41-82

  6. Dynamic Oligopoly with Continuous Time Scale

    • Koji Okuguchi, Ferenc Szidarovszky
    Pages 82-109

  7. Extensions and Generalizations

    • Koji Okuguchi, Ferenc Szidarovszky
    Pages 109-163

  8. Back Matter

    Pages 163-171
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Keywords

About this book

In this book a rigorous, systematic, mathematical analysis is presented for oligopoly with multi-product firms in static as well as dynamic frameworks in the light of recent developments in theories of games, oligopoly and industrial organization. The general results derived in this book on oligopoly with multi-product firms contain, as special cases, all previous results on oligopoly with single product as well as oligopoly with product differentiation and single product firms. A constructive nu- merical method is given for finding the Cournot-Nash equilibrium, which may be extremely valuable to those who are interested in numerical analysis of the effects of various industrial policies. A sequential adjustment process is also formulated for finding the equilibrium. Dynamic adjustment processes have two versions, one with a discrete time scale and the other with a continuous time scale. The stability of the equilibrium is thoroughly investigated utilizing powerful mathematical results from the stability and linear algebra literature. The methodology developed for analyzing stability proves to be useful for dynamic analysis of economic models.

Authors and Affiliations

  • Department of Economics, Tokyo Metropolitan University, Meguro-ku, Tokyo, Japan

    Koji Okuguchi

  • Institute of Mathematics and Computer Science, University of Economics, Budapest, Hungary

    Ferenc Szidarovszky

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