航空公司动态价格竞争复杂性及混沌控制——基于不同竞争战略与不同理性的分析

为深入分析竞争战略与决策理性对航空公司价格竞争的影响, 运用非线性动力学的分支理论, 构建了基于不同竞争战略与不同理性的航空公司动态价格竞争模型, 讨论了竞争模型均衡点的存在性与稳定性, 并数值仿真了不同条件下模型复杂的动力学行为. 研究结果表明: 针对具有现实意义的经济系统, 在现有均衡点稳定性判定定理的基础上, 结合参与主体的个体理性, 提出了新的稳定性判定条件;航空公司的竞争战略对其市场竞争行为复杂性及竞争绩效有着显著影响; 运用延迟反馈控制法可使竞争模型从混沌状态重新回到稳定状态.

Complexity analysis and chaos control of airlines' dynamic price competition: An application of different competition strategies and heterogeneous players

To investigate the effects of competition strategies and decision rationality on airlines' price competition, the airlines' dynamic price competition model based on different competition strategies and heterogeneous players is established by using the theory of bifurcation of dynamical systems, and the existence and stability of equilibrium points of this model are discussed. The complex dynamics of this model in different market parameters are shown though numerical simulation. The simulation results show that in order to investigate the stability of economic systems with realistic significance, it needs a new judgment theorem which combined traditional theorem with individual rationality. And the competition strategies of airlines have an obvious impact on the complexity of price competition and competition performance. Finally, the chaos state of airlines' dynamic price competition model is controlled by the delayed feedback control method.