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Dynamic Oligopolies with Time Delays

  • Book
  • © 2018

Overview

  • Discusses different types of time delay: discrete dynamics, continuous dynamics with fixed delays, and continuously distributed delays

  • Provides an accurate and detailed description of the mathematical methodology, and presents the basics of this in the three appendices

  • Includes computer simulation studies to facilitate understanding of the theoretical results and to serve as illustrations and as validation of the theory

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Table of contents (6 chapters)

Keywords

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.

Authors and Affiliations

  • Department of Economics, Chuo University, Hachioji, Japan

    Akio Matsumoto

  • Department of Mathematics, Corvinus University, Budapest, Hungary

    Ferenc Szidarovszky

About the authors

Akio Matsumoto, Chuo University

Ferenc Szidarovszky, Corvinus University

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