为深入研究航空公司动态价格竞争的复杂性及延迟反馈控制方法的有效性,综合运用有限理性决策理论与非线性动力学理论,构建航空公司动态价格竞争博弈模型,分析航空公司复杂的动力学行为,研究针对系统变量、系统参数的两类延迟反馈控制方法的有效性与差异性。研究结果表明,航空公司价格调整速度对模型的复杂性有显著影响;选取合适的控制因子,两类延迟反馈控制方法都能对陷入混沌的动态价格竞争模型实施有效地混沌控制;两类延迟反馈控制方法在控制因子取值范围、收敛速度等方面存有显著差异;控制因子取值对系统的收敛速度呈规律性影响趋势。
To investigate the complexity and validity of the delayed feedback control method in airlines’ dynamic price competition, the model of airlines’dynamic price competition is established by using the theory of bounded rationality and nonlinear dynamics, and complexity of airlines dynamic behavior is analyzed. The validity and differences of two kinds of delayed feedback control methods which aimed at system variables and system parameters are also discussed. The simulation results show that the speed of airlines’price adjustment has significant effects on the complexity of model. The dynamic price competition model enables to maintain stable with controlled by two kinds of delayed feedback control method if appropriate control factors are chosen. Besides, two kinds of delayed feedback control method have significant difference in the value range of control factors and the convergence speed, and the value of control factors has a regular influence on the system’s convergence speed.