Dynamic Oligopolies with Time Delays

  • Akio Matsumoto
  • Ferenc Szidarovszky

Table of contents

  1. Front Matter
    Pages i-viii
  2. Akio Matsumoto, Ferenc Szidarovszky
    Pages 1-4
  3. Akio Matsumoto, Ferenc Szidarovszky
    Pages 5-55
  4. Akio Matsumoto, Ferenc Szidarovszky
    Pages 57-102
  5. Akio Matsumoto, Ferenc Szidarovszky
    Pages 103-166
  6. Akio Matsumoto, Ferenc Szidarovszky
    Pages 167-209
  7. Akio Matsumoto, Ferenc Szidarovszky
    Pages 211-235
  8. Back Matter
    Pages 237-266

About this book


This is the first book to comprehensively examine the asymptotic behavior of dynamic monopolies, duopolies, and oligopolies where firms face information and implementation delays. It considers discrete and continuous timescales, continuously distributed delays, as well as single and multiple delays. It also discusses models with linear and hyperbolic price functions in three types of oligopolies: Cournot competition with quantity-adjusting firms, Bertrand competition with price-adjusting firms, and mixed oligopolies with both types of firms. In addition to the traditional Cournot-Nash equilibria, it introduces cases of partial cooperation are also introduced, leading to the analysis of cartelizing groups of firms and possible governmental actions against antitrust behavior. Further, the book investigates special processes for firms learning about the uncertain price function based on repeated market information. It addresses asymptotic properties of the associated dynamic systems, derives stability conditions, identifies stability switching curves, and presents in global analyses of cases of instability. The book includes both theoretical results and computer studies to illustrate and verify the theoretical findings.


Economic Systems Dynamic Analysis Monopolies-Oligopolies Two Delays Asymptotic Behavior Stability Switching Bifurcations Partial Cooperation Adaptive Learning

Authors and affiliations

  • Akio Matsumoto
    • 1
  • Ferenc Szidarovszky
    • 2
  1. 1.Department of EconomicsChuo UniversityHachiojiJapan
  2. 2.Department of MathematicsCorvinus UniversityBudapestHungary

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Economics and Finance
  • Print ISBN 978-981-13-1785-9
  • Online ISBN 978-981-13-1786-6
  • Buy this book on publisher's site
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