A dynamic Cournot duopoly model with different strategies | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 23, Issue 1, 2015, Page 56-61 PDF (771.81 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1016/j.joems.2014.01.006 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| A.A. Elsadany* | ||||
| 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 | ||||
| Different strategies; Chaos; Boundedly rational player; Local approximation player; Nash equilibrium point; Parameter variation method | ||||
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