DYNAMICAL ANALYSIS AND CHAOS CONTROL IN A HETEROGENEOUS KOPEL DUOPOLY GAME

被引：22
|
作者：
Elsadany, A. A. [1 ]
Awad, A. M. [1 ]
机构：
[1] Suez Canal Univ, Fac Computers & Informat, Dept Basic Sci, Ismailia 41522, Egypt
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2016年 / 47卷 / 04期
关键词：
Kopel duopoly game; heterogeneous players; Nash equilibrium point; bifurcation; chaos; feedback control method; BOUNDED RATIONALITY; COMPLEX DYNAMICS; COURNOT DUOPOLY; NONLINEAR DYNAMICS; ECONOMIC-MODEL; PLAYERS; COMPETITION; SYNCHRONIZATION; MAP;
D O I：
10.1007/s13226-016-0206-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：617 / 639
页数：23
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