Abstract: The paper establishes the dynamic double oligarchy price game model with oligopoly retailers considering the different business objectives and fairness concern, and emphatically analyzes the influence of fairness concern and price adjustment speed on model complexity based on retailer’s different business objectives. The dynamic price game process under different parameters combination is studied via stability region, bifurcation, Lyapunov exponent, chaos attractors, and so on, by using numerical simulation, and the complexity analysis shows that retailers consider fairness concern will reduce its own stability domain; the higher level of fairness concern, the easier the system is in the chaotic state. At the same time, the paper studies the effect of price adjustment speed on the profit of retailers. The results find that when the price adjustment speed is too large, the system will be in the chaotic state finally, the profit will fluctuate violently and the average profit will decrease with increasing of the price adjustment speed. Finally, the control factor is chosen to control the chaos of the system. The research will provide a good reference of the price decision for retailers.

Key words: business objectives, fairness, dynamic game, complexity analysis

摘要： 建立双寡头零售商具有不同商业目标和公平关切的动态价格博弈模型,着重分析了基于零售商考虑不同商业目标和公平关切下的价格博弈模型的复杂性。数值模拟了不同参数数值组合条件下的价格动态博弈过程,通过系统稳定域,分岔,李雅普诺夫指数,混沌吸引子等对模型进行了复杂性分析,发现零售商考虑公平关切会使自身稳定域减小;公平关切的水平越高,系统越容易进入混沌状态。同时研究了价格调整速度对零售商利润的影响,结果发现当价格调整速度过大时,系统会进入混沌状态,利润值波动剧烈且平均利润随着价格调整速度的增大而减小。最后选择控制因子对系统混沌进行了控制,该研究对零售商价格决策有着很好的借鉴意义。

关键词: 商业目标, 公平关切, 动态博弈, 复杂性分析