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د. خالد بن عبدالعزيز النويبت

Associate Professor

عضو هيئة تدريس

كلية العلوم
كلية العلوم مبنى 4 الدور الأرضي أ ب 27
المنشورات
مقال فى مجلة
2016

Nonlinear oligopolistic game with isoelastic demand function: Rationality and local monopolistic approximation

Askar, Sameh . 2016

ABSTRACT : Isoelastic demand function have been used in literature to study the dynamic features of systems constructed based on economic market structure. In this paper, we adopt the so-called Cobb–Douglas production function and study its impact on the steady state of an oligopolistic game that consists of four oligopolistic competitors or firms. Briefly, the paper handles three different scenarios. The first scenario introduces four oligopolistic firms who plays rational against each other in market. The firms use the myopic mechanism (or bounded rational) to update their production in the next time unit. The steady state of the obtained system in this scenario, which is the Nash equilibrium, is unique and its characteristics are investigated. Based on a local monopolistic approximation (LMA) strategy, one competitor prefers to play against the three rational firms and this is illustrated in the second scenario. The last scenario discusses the case when three competitors use the LMA strategy against a rational one. For all scenarios discrete dynamical systems are used to describe the game introduced in all scenarios. The stability analysis of the Nash equilibrium is investigated analytically and some numerical simulations are used to confirm the obtained analytical results.

نوع عمل المنشور
Research Paper
رقم المجلد
Volume 84
مجلة/صحيفة
Chaos, Solitons & Fractals
الصفحات
Pages 15–22
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