تجاوز إلى المحتوى الرئيسي
User Image

عبدالرحمن بن إبراهيم محمد الخضيري

Professor

رئيس جامعة نجران ،أستاذ بقسم الإحصاء وبحوث العمليات

كلية العلوم
المبنى 4 ، الدور الأرضي ، مكتب رقم 21 . أ . ب
المنشورات
مقال فى مجلة
2019

Cournot Duopoly Games: Models and Investigations‏

, SS Askar, A Al-khedhairi . 2019

This paper analyzes Cournot duopoly games that are constructed based on Cobb–Douglas preferences. We introduce here two models whose dynamic adjustments depend on bounded rationality, dynamic adjustment, and tit-for-tat mechanism. In the first model, we have two firms with limited information and due to that they adopt the bounded rationality mechanism. They update their productions based on the changing occurred in the marginal profit. For this model, its fixed point is obtained and its stability condition is calculated. In addition, we provide conditions by which this fixed point loses its stability due to flip and Neimark–Sacker bifurcations. Furthermore, numerical simulation shows that this model possesses some chaotic behaviors which are recovered due to corridor stability. In the second model, we handle two different mechanisms of cooperation. These mechanisms are dynamic adjustment process and tit-for-tat strategy. The players who use the dynamic adjustment increase their productions based on the cooperative output while, in tit-for-tat mechanism, they increase the productions based on the cooperative profit. The local stability analysis shows that adopting tit-for-tat makes the model unstable and then the system becomes chaotic for any values of the system’s parameters. The obtained results show that the dynamic adjustment makes the system’s fixed point stable for a certain interval of the adjustment parameter.

رقم المجلد
11
رقم الانشاء
7
مجلة/صحيفة
Mathematics
الصفحات
1079
مزيد من المنشورات
publications

This paper introduces an attempt to investigate the complex dynamics of a nonlinear duopoly game of players (firms) adopting prices as their decision variables. Two different models are introduced…

بواسطة SS Askar, A Al-khedhairi
2020
publications

In this paper, we give a proper investigation of the problem of remanufacturing duopoly game. A smooth piecewise map is introduced to describe such game. A rich analysis either analytical or…

بواسطة SS Askar, A Al-khedhairi
2020
publications

Memory effects play a critical role in complex immune systems. In this paper, the recent efficient and realistic Atangana–Baleanu fractional order derivative, with non-local and non-singular…

بواسطة A Al-khedhairi, AA Elsadany, A Elsonbaty
2019