Dynamical analysis and chaos control in a heterogeneous Kopel duopoly game

A. A. Elsadany () and A. M. Awad ()
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A. A. Elsadany: Suez Canal University
A. M. Awad: Suez Canal University

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 4, 617-639

Abstract: Abstract A dynamic of a nonlinear Kopel duopoly game with heterogeneous players is presented. By assuming two heterogeneous players where one player use naive expectation whereas the other employs a technique of adaptive. The stability conditions of equilibrium points are analyzed. Numerical simulations are used to show bifurcation diagrams, phase portraits and sensitive dependence on initial conditions. The chaotic behavior of the game has been controlled by using feedback control method.

Keywords: Kopel duopoly game; heterogeneous players; Nash equilibrium point; bifurcation; chaos; feedback control method (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s13226-016-0206-3

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