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| 记忆和一般等弹性需求下古诺博弈的复杂动态演化 |
| The Complex Dynamic Evolution of Cournot Game with Memory and General Isoelastic Demand |
| 投稿时间：2024-05-15 修订日期：2024-10-11 |
| DOI： |
| 中文关键词: 非线性动力学 古诺博弈模型 记忆性 一般等弹性需求 |
| 英文关键词: nonlinear dynamics Cournot game model memorability general isoelastic demand |
| 基金项目:教育部人文社会科学规划项目（21YJA630116）；辽宁省教育厅基本科研项目（LJKMZ20221412） |
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| 中文摘要: |
| 为深入探讨记忆和需求函数形式如何影响古诺博弈的动态演化，利用非线性动力学理论，在梯度调整机制及局部垄断近似调整机制情景下，构建了具有记忆和一般等弹性需求的古诺双寡头动态演化模型，求出了纳什均衡解，分析了记忆性和弹性系数对纳什均衡点稳定性及其非线性动态演化的影响。通过理论推导和数值模拟研究发现：记忆性的增大对产量决策的古诺纳什均衡起到稳定作用，而弹性系数的增大会促使纳什均衡混沌的形成，二者对纳什均衡的相反作用形成了古诺纳什均衡解性质的复杂特征。 |
| 英文摘要: |
| In order to further explore how memory and demand function form affect the dynamic evolution of Cournot game, we construct the dynamic evolution model of Cournot duopoly with memory and general elastic demand under Gradient adjustment mechanism and Local Monopolistic Approximation adjustment mechanism by using nonlinear dynamics theory, and obtain the Nash equilibrium solution. The influence of memory and elastic coefficient on the stability and nonlinear dynamic evolution of Nash equilibrium point are analyzed. Through theoretical derivation and numerical simulation, it is found that the increase of memory plays a stable role in the Cournot Nash equilibrium of output decision, while the increase of elastic coefficient promotes the formation of chaos in the Nash equilibrium. The opposite effect of the two on the Nash equilibrium results in the complex properties of the Cournot Nash equilibrium. |
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