具有异质预期类型和产品的差异度的Cournot博弈动力学分析与控制  

Analysis and Control of the Nonlinear Cournot Dynamic Triopoly Based on Differentiated Products and Heterogeneous Expectations

作　　者：赵刘威 杜建国[1] 

机构地区：[1]江苏大学管理学院,镇江212013

出　　处：《工业技术经济》2018年第1期65-75,共11页Journal of Industrial Technological Economics

基　　金：国家自然科学基金资助项目(项目编号:71171099;71471076);教育部高等学校博士学科点专项科研基金资助项目(项目编号:20123227110011);江苏省研究生培养创新工程研究生科研与实践创新计划项目(项目编号:KYCX17_1743)

摘　　要：本文通过构建具有异质预期的企业寡头博弈模型,分析了产量竞争下的纳什均衡局部稳定性。研究表明基于边际利润和一个适应性预期的决策参数,企业遵循一个梯度的规则,决定了纳什均衡的局部稳定性,产品差异化的程度对稳定性的影响取决于产品的性质。此外,时滞反馈控制可以控制动力系统的混沌行为且数值分析表明其可高效、快速的控制动力系统的不稳定行为,使得市场快速恢复稳定、有序的状态,为决策者提供有效解决市场不稳定现象的方法。In this paper, by establishing a differentiated triopoly model with heterogeneous firms, the local stability of theNash equilibrium under the quantity competition is analyzed. We find that the presence of a firm following a gradient rule based onmarginal profits and a player with adaptive expectations, determines the local stability of the Nash equilibrium, regardless the com？petition type, while the effects of the degree of product differentiation on the stability depend on the nature of products. Moreover,time delay feedback control can control the chaotic behavior of dynamical systems and numerical analysis shows that it can controlthe unstable behavior of power system effectively and efficiently, the market？s fast recovery may be stable and orderly.

关 键 词：COURNOT竞争 异质预期 混沌控制 稳定 分岔 纳什均衡 

分 类 号：F224.32[经济管理—国民经济]