A dynamic Cournot duopoly model with different strategies | Zendy

A. A. Elsadany | Zendy

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A dynamic Cournot duopoly model with different strategies

Author(s) -

A. A. Elsadany

Publication year - 2014

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2014.01.006

Subject(s) - cournot competition , duopoly , mathematics , stability (learning theory) , bifurcation , lyapunov exponent , variation (astronomy) , mathematical economics , computer science , nonlinear system , physics , quantum mechanics , machine learning , astrophysics

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

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