Duopoly Price Game Model and Its Stability
作者: 卢亚丽 ：;
Abstract: Based on the adaptive decision-rule, the bounded rationality decision-making method and the delayed price-expectation, we constructed the price game model of differentiation products between two oligo- poly firms in this paper. Through extending the game model to the three-dimensional difference equation, we investigated the existence and stability of the fixed points of the price game model. The results show that the model has an unstable boundary fixed point and a local stable Nash equilibrium point, and the parameter conditions ensuring the local stability of Nash equilibrium point are given by employing the Jury’s criteria. Simulation experiments confirm that the price adjustment speed is the major factor influencing on the stabil-ity of Nash equilibrium point. The variations of weight in the adaptive decision-rule and in the delayed price- expectation all have slight influence on the stability of Nash equilibrium point. The price evolution will give birth to bifurcation and chaos when price adjustment speed takes bigger values. Maintaining lower price-ad-justment speed for the oligarchs with bounded rationality decision-making rule is a major route to avoid the chaotic variation of prices.
文章引用: 卢亚丽 (2012) 双寡头价格博弈模型及其稳定性。 现代管理， 2， 1-6. doi: 10.12677/mm.2012.21001
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