Analysis of nonlinear triopoly game with heterogeneous players

被引：68
|
作者：
Elabbasy, E. M. [2 ]
Agiza, H. N. [2 ]
Elsadany, A. A. [1 ]
机构：
[1] Seventh April Univ, Al Ijailat Teachers Coll, Dept Math, Az Zawiyah, Libya
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 03期
关键词：
Triopoly game; Heterogeneous players; Fractal dimension; DFC method; DUOPOLY GAME; DYNAMICS; CHAOS; FEEDBACK; MODEL;
D O I：
10.1016/j.camwa.2008.09.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear triopoly game with heterogeneous players is presented. We consider three types of players: boundedly rational, adaptive, and naive. A triopoly game is modelled by a three dimensional discrete dynamical system. The stability conditions of the equilibrium points are analyzed. Numerical simulations are used to show bifurcation diagrams, phase portraits, sensitive dependence on initial conditions and fractal dimension. The chaotic behavior of the model has been stabilized on the Nash equilibrium point, by the use of the Pyragas delay feedback control method. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：488 / 499
页数：12
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