Dynamical analysis and chaos control in a heterogeneous Kopel duopoly game

A. A. Elsadany; A. M. Awad

doi:10.1007/s13226-016-0206-3

Dynamical analysis and chaos control in a heterogeneous Kopel duopoly game

A. A. Elsadany
, A. M. Awad

Suez Canal University

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

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.

Original language	English
Pages (from-to)	617-639
Number of pages	23
Journal	Indian Journal of Pure and Applied Mathematics
Volume	47
Issue number	4
DOIs	https://doi.org/10.1007/s13226-016-0206-3
State	Published - 1 Dec 2016
Externally published	Yes

Keywords

bifurcation
chaos
feedback control method
heterogeneous players
Kopel duopoly game
Nash equilibrium point

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10.1007/s13226-016-0206-3

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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.",

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AB - 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.

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KW - chaos

KW - feedback control method

KW - heterogeneous players

KW - Kopel duopoly game

KW - Nash equilibrium point

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Dynamical analysis and chaos control in a heterogeneous Kopel duopoly game

Abstract

Keywords

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