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The Theory of Oligopoly with Multi-Product Firms

  • Koji Okuguchi
  • Ferenc Szidarovszky

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

Table of contents

  1. Front Matter
    Pages N2-V
  2. Koji Okuguchi, Ferenc Szidarovszky
    Pages 1-2
  3. Koji Okuguchi, Ferenc Szidarovszky
    Pages 2-14
  4. Koji Okuguchi, Ferenc Szidarovszky
    Pages 14-40
  5. Koji Okuguchi, Ferenc Szidarovszky
    Pages 41-82
  6. Koji Okuguchi, Ferenc Szidarovszky
    Pages 82-109
  7. Koji Okuguchi, Ferenc Szidarovszky
    Pages 109-163
  8. Back Matter
    Pages 163-171

About this book

Introduction

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.

Keywords

Mehrproduktfirmen Nash equilibrium Oligopol Stabilität development equilibrium industrial organization linear algebra mathematical analysis organization organizations stability value-at-risk

Authors and affiliations

  • Koji Okuguchi
    • 1
  • Ferenc Szidarovszky
    • 2
  1. 1.Department of EconomicsTokyo Metropolitan UniversityMeguro-ku, TokyoJapan
  2. 2.Institute of Mathematics and Computer ScienceUniversity of EconomicsBudapestHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02622-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52567-7
  • Online ISBN 978-3-662-02622-9
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site