建立了基于特定需求函数的Bertrand双寡头垄断模型,分析了垄断市场下生产同质产品的企业竞争现象。应用有限理性法和不完全信息法实现了竞争模型由静态到动态的转化过程。进一步求解了动态模型的价格均衡解,并分析了均衡点的稳定状态。针对模型中出现的复杂现象提出了不同的混沌控制法,实现了垄断市场由混乱到稳定的回归。
Based on the specific demand function,a duopoly Bertrand model is established.The enterprise competition phenomenon in producing homogeneous products under the monopoly market is analyzed. The competition model is transformed from static medel to dynamic model by bounded rationality and in-complete information method.Under such condition,the price equilibrium solution of the dynamic model and the steady state of equilibrium points are obtained.The regression of monopoly market from chaos to stable is achieved by different chaos control methods.