基于相对利润最大化的混合寡头博弈的复杂动态性
Complex Dynamics in a Mixed Duopoly Game Based on Relative Profit Maximization
摘要: 本文研究价格–产量混合寡头博弈模型的复杂动力学行为。基于相对利润最大化和有限理性预期原则，在成本函数为线性的情况下，构建相应的离散动态系统。在理论上，给出了纳什均衡点局部稳定性满足的条件。在数值实验方面，利用分岔图描绘了两种情况下产品差异性、调整速度等参数对纳什均衡点稳定性的影响。
Abstract: In this paper, the complex dynamic behavior of a mixed duopoly game model is studied. Based on the principle of relative profit maximization and bounded rational expectation, in the case that the cost function is linear, the corresponding discrete dynamic system is constructed. In theory, the conditions for local stability are given. In terms of numerical experiments, bifurcation diagrams are used to depict the effects of product differences, adjustment speed and other parameters on the stability of Nash equilibrium in two cases.
文章引用：刘星雨, 窦宇琪. 基于相对利润最大化的混合寡头博弈的复杂动态性[J]. 应用数学进展, 2021, 10(2): 444-452. https://doi.org/10.12677/AAM.2021.102050

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