Nonlinear Oligopolies Stability and Bifurcations /

• Main Authors: Bischi, Gian Italo. (Author), Chiarella, Carl. (Author), Kopel, Michael. (Author), Szidarovszky, Ferenc. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Subjects: Economics.; Mathematics.; Industrial organization (Economic theory).; Microeconomics.; Economics, Mathematical.; Economics/Management Science.; Economic Theory.; Game Theory/Mathematical Methods.; Game Theory, Economics, Social and Behav. Sciences.; Industrial Organization.; Statistical Physics, Dynamical Systems and Complexity.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-02106-0

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. Partic...

Table of Contents:

• The Classical Cournot Model
• Concave Oligopolies
• General Oligopolies
• Modified and Extended Oligopolies
• Misspecified and Uncertain Price Functions
• Overview and Directions for Future Research
• Elements of Lyapunov Theory
• Local Linearization
• Noninvertible Maps and Critical Sets
• Continuously Distributed Time Lags
• A Determinantal Identity
• Stable Quadratic Polynomials.