With the development of market economy,the competitive situation between enterprises is becoming more and more intense.The market rules of the survival of the fittest not only lead to the formation of many duopoly industries,but also induce a number of bad competition means,which trigger the emergence of the malicious market environment.In addition,in the era that information produces value,the importance of information to businesses is self-evident.For the further development of the enterprises and the whole market,it is necessary to focus on the researches about the competitive environment and information.Aiming at studying the influence of competitive environment and asymmetric information on duopoly game,qualitative and quantitative analysis is carried out by Jury criterion and numerical simulation respectively in this paper.The impact of some parameters on the game system has also been included.The main contents are presented as follows:Firstly,establish the price stackelberg duopoly game,and build the dynamic price game system.The market competitive environment can be divided into two categories:one is friendly win-win environment,the other is malicious competition environment,which contains the behavior of lowering the price of the other enterprise.Based on the numerical simulations,the stable region diagram,phase diagram,chaotic bifurcation diagram and three-dimensional stereogram are demonstrated to represent the impact of two competitive environment on the dynamic system.The simulations results represent that the enterprise which initiates the malicious competition usually meets the condition that the loss outweights the gain in the operation state,and achieves far less influence on the opponent than expected.Then,the majority of the current researches about the information are based on the assumption that only one knows the information of the other and the other takes measures.Considering the general situation that the information acquisition or disclosure is bilateral,the game model for duopoly price is constructed with the both sides information parameters in this paper.Through the theoretical analysis and the numerical simulation of the system stability,the influence of asymmetric information on both enterprises and the market is studied.At the same time,several certain researches have been done in order to find out whether the price adjustment can influence thedamage of information disclosure.The results represent that the acquisition degree of information can directly affect the enterprise competitiveness,and price adjustment speed can be used to control the information affection.In summary,based on the unique conception and improved model establishment,through theoretical qualitative analysis and numerical quantitative analysis,the impact of different competitive environment and asymmetric information acquisition on the enterprises and the whole market which are in the duopoly game can be concluded. |