Complex Dynamics of Mixed Triopoly Game with Quantity and Price Competition

被引：3
作者：
Wang, Jing [1 ]
Bao, Zhenhua [1 ]
Huang, Junqing [1 ]
Song, Yujing [1 ]
机构：
[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2021年 / 2021卷
关键词：
DUOPOLY GAME; COURNOT; SYSTEM; MODEL;
D O I：
10.1155/2021/9532340
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article investigates the dynamics of a mixed triopoly game in which a state-owned public firm competes against two private firms. In this game, the public firm and private firms are considered to be boundedly rational and naive, respectively. Based on both quantity and price competition, the game's equilibrium points are calculated, and then the local stability of boundary points and the Nash equilibrium points is analyzed. Numerical simulations are presented to display the dynamic behaviors including bifurcation diagrams, maximal Lyapunov exponent, and sensitive dependence on initial conditions. The chaotic behavior of the two models has been stabilized on the Nash equilibrium point by using the delay feedback control method. The thresholds under price and quantity competition are also compared.
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页数：15
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