Dynamics of a Cournot duopoly game with bounded rationality based on relative profit maximization

被引:134
作者
Elsadany, A. A. [1 ]
机构
[1] Suez Canal Univ, Dept Basic Sci, Fac Comp & Informat, Ismailia 41522, Egypt
关键词
Cournot game; Relative profit maximization; Boundedly rational players; Nash Equilibrium point; Bifurcation; Chaos; HETEROGENEOUS PLAYERS; NONLINEAR DYNAMICS; EVOLUTION; STABILITY; NETWORKS; COMPLEX;
D O I
10.1016/j.amc.2016.09.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The dynamics of a Cournot duopoly with relative profits maximizations and costs function with externalities is considered. Results concerning the equilibria of the economic model and their stability are presented and the occurrence of bifurcations is stated. A double route to chaotic dynamics, via flip bifurcations and via Neimark-Sacker bifurcations for game is studied. Numerical experiments are presented. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:253 / 263
页数:11
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