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构建有限理性行为规则下的豪泰林(Hotelling)模型,分析参与人具有延迟反馈控制行为的豪泰林模型的复杂性.模型求解和数值模拟得出结论:在有限理性情况下,产品价格调整系数、产品位值和偏离成本等参数的取值范围决定了动态系统的稳定性、产量分岔、利润分岔和混沌;产品价格调整系数取值控制在适当范围,豪泰林均衡能够作为稳定的动态均衡实现.否则,即使企业实现了产品差异最大化豪泰林模型的均衡也可能不稳定,经济系统会出现周期变化和混沌现象;如果经济系统进入混沌状态,参与人对价格初值微小的调整都会引起价格发生巨大的波动;延迟反馈控制可以使处于混沌状态的系统转向均衡状态;同时论证了企业产品横向差异化可增加系统的稳定性.
The paper constructs the Hotelling model under the bounded rational behavior rules and analyzes the complexity of the Hetlin’s model with delayed feedback control behavior by the model.The solution of the model and the numerical simulation conclude that under the bounded rationality, The range of parameters, product position value and deviation cost determines the stability of the dynamic system, yield bifurcation, profit bifurcation and chaos; the product price adjustment coefficient is controlled in the appropriate range, and the Hetlin’s equilibrium can be used as a stable Even if the firm achieves the maximization of product differentiation, the equilibrium of the Hetai Lin model may not be stable, and the periodic and chaotic phenomena occur in the economic system. If the economic system enters the chaotic state, the participants will have little initial value Will lead to huge price fluctuations; Delayed feedback control can make the system in chaos state shift to equilibrium; At the same time demonstrate that the enterprise product horizontal differentiation can increase the stability of the system.