Complexity study on the Cournot-Bertrand mixed duopoly game model with market share preference

被引:39
|
作者
Ma, Junhai [1 ]
Sun, Lijian [1 ,2 ]
Hou, Shunqi [1 ]
Zhan, Xueli [3 ]
机构
[1] Tianjin Univ, Coll Management & Econ, Grp Nonlinear Dynam & Chaos, Tianjin 300072, Peoples R China
[2] Tianjin Univ Sci & Technol, Coll Sci, Tianjin 300457, Peoples R China
[3] Beijing Wuzi Univ, Sch Econ, Beijing 10114, Peoples R China
基金
中国国家自然科学基金;
关键词
HETEROGENEOUS PLAYERS; QUANTITY COMPETITION; DEMAND FUNCTION; TRIOPOLY GAME; SUPPLY CHAIN; DYNAMICS; PRICE;
D O I
10.1063/1.5001353
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a Cournot-Bertrand duopoly model with market share preference is established. Assume that there is a degree of product difference between the two firms, where one firm takes the price as a decision variable and the other takes the quantity. Both firms are bounded rational, with linear cost functions and demand functions. The stability of the equilibrium points is analyzed, and the effects of some parameters (alpha, beta, d and v(1)) on the model stability are studied. Basins of attraction are investigated and the evolution process is shown with the increase in the output adjustment speed. The simulation results show that instability will lead to the increase in the average utility of the firm that determines the quantity and reduce the average utility of the firm that determines price. Published by AIP Publishing.
引用
收藏
页数:10
相关论文
共 50 条