Nonlinear Oligopolies: Stability and Bifurcations - Hardcover

Bischi, Gian Italo; Chiarella, Carl; Kopel, Michael; Szidarovszky, Ferenc

Hardcover

ISBN 10: 3642021050 ISBN 13: 9783642021053

Publisher: Springer, 2009

Synopsis

This 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 as well as show the existence of unique and multiple equilibria. Dynamics are introduced under various assumptions for the adjustment process. An introduction to the analysis of global dynamics is given through some specific examples. Concave and general oligopolies are also considered and conditions are given for the local asymptotic stability of their equilibria, and global dynamics are investigated 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. The book contains a number of technical appendices that summarise techniques of global dynamics not accessible elsewhere.

About this title

Review

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)

From the Back Cover

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.

 

About this edition

• Publisher: Springer
• Publication date: 2009
• ISBN 10: 3642021050
• ISBN 13: 9783642021053
• Binding: Hardcover
• Number of pages: 349