古诺竞争
双头垄断
有限理性
固定点
反向需求函数
有界函数
数学
吸引子
混乱的
数理经济学
理论(学习稳定性)
功能(生物学)
经济
数学优化
应用数学
计算机科学
需求曲线
微观经济学
数学分析
管理
机器学习
进化生物学
生物
作者
Sameh Askar,Ahmad M. Alshamrani,Khalid Abdulaziz Alnowibet
标识
DOI:10.1016/j.amc.2015.02.072
摘要
In this paper, dynamic duopolistic Cournot models are investigated with discrete time scales under the assumption of unknown inverse demand function and linear cost. With this motivation, we consider different types of models: bounded rational duopoly, Puu's duopoly, bounded rational duopoly with delay, and bounded rational multi-team model. In these models, the firms use two important adjustment mechanism, the bounded rationality and Puu's approach, to update their quantity in each period. The locally asymptotic stability of the fixed point of each model is investigated and complex dynamic characteristics including period doubling bifurcation, strang attractors and chaotic phenomena are also discussed. Numerical simulations are carried out to show such complex behavior of the four models and to point out the impact of the models' parameters on the stability of the fixed points.
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