A dynamic Cournot duopoly model with different strategies

Document Type : Original Article

Author

Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt

Abstract

This paper analyzes the dynamics of a Cournot duopoly model with different strategies.
We offer results on existence, stability and local bifurcations of the equilibrium points. The bifurcation diagrams and Lyapunov exponents of the model are presented to show that the model
behaves chaotically with the variation in the parameters. The state variables feedback and parameter variation methods are used to control the chaos of the model. 

Keywords