On a New Cournot Duopoly Game. (30th September 2013)

• Record Type: Journal Article
• Authors: Agiza, H. N.; Elsadany, A. A.; El-Dessoky, M. M.
• Other Names: Yamapi René Academic Editor.
• Is Part Of: Journal of chaos. Volume 2013(2013)
• Publication Date: 2013-09-30
• Subjects: Quantum chaos -- Periodicals; Chaotic behavior in systems -- Periodicals; Chaotic behavior in systems; Quantum chaos; Electronic journals; Periodicals; 515.39
• DOI: 10.1155/2013/487803
• Languages: English
• ISSNs: 2356-7228

Abstract

Abstract : This paper presents a new Cournot duopoly game. The main advantage of this game is that the outputs are nonnegative for all times. We investigate the complexity of the corresponding dynamical behaviors of the game such as stability and bifurcations. Computer simulations will be used to confirm our theoretical results. It is found that the chaotic behavior of the game has been stabilized on the Nash equilibrium point by using delay feedback control method.