一类经济博弈模型的复杂动力学分析及混沌控制

Complex dynamics analysis and chaos control for an economic game model

基于有限理性假设条件下的双寡头企业动态产量博弈模型,通过数值模拟对产量调整速度变动引起的产量倍周期分岔、混沌、分岔点漂移等复杂动力学行为及相应的利润变化进行了研究.结果表明,具有边际成本优势的寡头企业在产量混沌市场上能获得高于均衡利润的平均利润,而劣势企业争取获得均衡利润则是其满意选择.双方都比较满意的博弈结果是获得均衡利润.依据双方博弈策略特征,利用参数自适应反馈控制方法有效地把产量混沌状态引导到均衡状态.

Based on the duopoly enterprises dynamic output game model under the assumption of limited rationality, the complex dynamics about double-period bifurcation, chaos, bifurcation point drifting of the output and the change of the corresponding profit induced by the speed adjustment of output are investigated by numerical simulation. The results show that the enterprise with marginal cost advantage can win the average profit which is higher than equilibrium profit in the chaotic output market. However, obtaining equilibrium profit is the best choice for the enterprise in inferior position . So the game results which both sides are all relatively satisfactory is to obtain equilibrium profit. According to the game strategy of both sides, the chaotic state of output can be lead to equilibrium state effectively by means of the method of adaptive parameter feedback control.