Analysis of Nonlinear Duopoly Games with Product Differentiation: Stability, Global Dynamics, and Control
المؤلفون المشاركون
المصدر
Discrete Dynamics in Nature and Society
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-13، 13ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-06-06
دولة النشر
مصر
عدد الصفحات
13
التخصصات الرئيسية
الملخص EN
Many researchers have used quadratic utility function to study its influences on economic games with product differentiation.
Such games include Cournot, Bertrand, and a mixed-type game called Cournot-Bertrand.
Within this paper, a cubic utility function that is derived from a constant elasticity of substitution production function (CES) is introduced.
This cubic function is more desirable than the quadratic one besides its amenability to efficiency analysis.
Based on that utility a two-dimensional Cournot duopoly game with horizontal product differentiation is modeled using a discrete time scale.
Two different types of games are studied in this paper.
In the first game, firms are updating their output production using the traditional bounded rationality approach.
In the second game, firms adopt Puu’s mechanism to update their productions.
Puu’s mechanism does not require any information about the profit function; instead it needs both firms to know their production and their profits in the past time periods.
In both scenarios, an explicit form for the Nash equilibrium point is obtained under certain conditions.
The stability analysis of Nash point is considered.
Furthermore, some numerical simulations are carried out to confirm the chaotic behavior of Nash equilibrium point.
This analysis includes bifurcation, attractor, maximum Lyapunov exponent, and sensitivity to initial conditions.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Askar, S. S.& Al-khedhairi, A.. 2017. Analysis of Nonlinear Duopoly Games with Product Differentiation: Stability, Global Dynamics, and Control. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151212
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Askar, S. S.& Al-khedhairi, A.. Analysis of Nonlinear Duopoly Games with Product Differentiation: Stability, Global Dynamics, and Control. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1151212
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Askar, S. S.& Al-khedhairi, A.. Analysis of Nonlinear Duopoly Games with Product Differentiation: Stability, Global Dynamics, and Control. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151212
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1151212
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر