The arising of cooperation in Cournot duopoly games

被引:22
作者
Askar, S. S. [1 ,2 ]
Alshamrani, Ahmad M. [1 ]
Alnowibet, K. [1 ]
机构
[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
关键词
Discrete duopoly; cooperation; Tit-for-tat; Stability; Bifurcation; DYNAMICS; DEMAND; POPULATIONS; IMPACT;
D O I
10.1016/j.amc.2015.10.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In literature, several studies have been made to study conflict among duopolistic Cournot game with incomplete information. This paper attempts to investigate equilibrium stability of a nonlinear Cournot duopoly game on which cooperation may be existed among firms. Discrete time scales under the assumption of logarithmic price function and linear cost are used to build our models in the proposed games. We study here an adjustment dynamic strategy based on the so-called tit-for-tat strategy. For each model, the stability analysis of the fixed point is analyzed. Numerical simulations are carried out to show the complex behavior of the proposed models and to point out the impact of the models' parameters on the cooperation. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:535 / 542
页数:8
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