Analysis of Nonlinear Duopoly Game: A Cooperative Case

مقال فى مجلة
Askar, Sameh . 2015
نوع عمل المنشور
Research Paper
مجلة/صحيفة
Discrete Dynamics in Nature and Society
رقم المجلد
Article ID 528217
الصفحات
5 pages
تاريخ المؤتمر
ملخص المنشورات

ABSTRACT : We make further attempts to investigate equilibrium stability of a nonlinear Cournot duopoly game. Our studies in this paper focus on the cooperation that may be obtained among duopolistic firms. Discrete time scales under the assumption of unknown inverse demand function and linear cost are used to build our models in the proposed games. We introduce and study here an adjustment dynamic strategy beside 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.