Overview
- Presents latest trends, methods and results in nonlinear dynamics with a special focus on oligopolies
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Table of contents (6 chapters)
Keywords
About this book
The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and it shows the existence of unique and multiple equilibria. Particular emphasis is placed on the influence of nonnegativity and capacity constraints. Dynamics are introduced under various assumptions for the adjustment process. An introduction to the analysis of global dynamics is given through some specific examples. The book also considers concave and general oligopolies and gives conditions for the local asymptotic stability of their equilibria, and it investigates global dynamics in some special cases. Other oligopolies examined include market share attraction games, labor-managed oligopolies, partially cooperating firms and models with intertemporal demand attraction. Local/global stability analyses are carried out for these models and the impact of constraints is discussed. The book contains a number of technical appendices that summarize techniques of global dynamics not easily accessible elsewhere.
Reviews
From the reviews:
“This excellent book is a continuation of the work of K. Okuguchi and F. Szidarovszky … and it focuses on the nonlinearity of oligopoly models. It consists of 6 chapters and 6 appendices. … gives a brief overview of the very large and complex field covered in this book, as well as an outline of future research directions. … large collection of references is cited and listed in the bibliography. … the authors of this book have obtained many and important results in this area.” (Anton S. Mureşan, Mathematical Reviews, Issue 2011 e)Authors and Affiliations
Bibliographic Information
Book Title: Nonlinear Oligopolies
Book Subtitle: Stability and Bifurcations
Authors: Gian Italo Bischi, Carl Chiarella, Michael Kopel, Ferenc Szidarovszky
DOI: https://doi.org/10.1007/978-3-642-02106-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Business and Economics, Economics and Finance (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Hardcover ISBN: 978-3-642-02105-3Published: 30 November 2009
Softcover ISBN: 978-3-642-42460-1Published: 12 October 2014
eBook ISBN: 978-3-642-02106-0Published: 01 December 2009
Edition Number: 1
Number of Pages: XV, 334
Topics: Economic Theory/Quantitative Economics/Mathematical Methods, Game Theory, Economics, Social and Behav. Sciences, Microeconomics, Industrial Organization, Complex Systems, Statistical Physics and Dynamical Systems