双渠道闭环供应链博弈模型的复杂性分析

Complexity analysis of game model in a dual-channel closed loop supply chain

为研究一个双渠道闭环供应链的长期动态定价模型,同时考察渠道忠诚度以及参考价格对定价决策的影响,运用系统动力学的分析方法,利用稳定域图、分岔图、最大Lyapunov指数图以及混沌吸引子等分析了动态模型的复杂动力学行为.结果表明:在静态模型中,随着渠道忠诚度参数的增加,回收率减小,制造商利润减小,零售商利润增加;随着参考价格系数的增加,回收率增加,制造商利润减小,零售商利润增加;在动态重复博弈中,过快地调整速度会使系统进入混沌.

The purpose is to study a long-term dynamic pricing model for a dual-channel closed-loop supply chain. At the same time, the influence of channel loyalty and reference prices on pricing decisions are examined. The method of system dynamics is applied, the complex dynamic phenomena are studied through numerical simulation, such as the stability region, chaos, bifurcation diagram, the largest Lyapunov exponent diagram and the Chaos attractor.The results show that in the static model, as the channel loyalty parameter increases, the collection rate decreases,the manufacturer′ s profit decreases and the retailer′ s profits increase. With the increase of the reference price coefficient, the collection rate increases, the profit of the manufacturer decreases and the profit of the retailer increases. In the dynamic repeat game, the excessively fast adjustment rate will cause the system to enter chaos.