具有二期時滯的Bertrand混沌博弈研究
[Abstract]:The rapid development of social economy and the frequent merger and reorganization of industries make more and more market enter the era of oligarchic monopoly, and the competition of each enterprise in the market is mainly reflected in the competition of price, but at present, most of the related research is to introduce a time lag for the dual oligarch market. Therefore, it is necessary to analyze the complexity of the double oligarchic market of the second-stage time-lag so as to establish the corresponding price game system to guide the development of the enterprise. Complexity analysis is the mainstream research method of nonlinear economic system. This article mainly completes the following work: 1. The second-stage delay decision is introduced in the double oligarchic price game model, and the stable domain of Nash equilibrium point of the model is given. By means of numerical simulation, the influence of the number of decision makers in the market and the delay parameters on the stability domain and the profit of the enterprise is analyzed in detail. The research shows that the increase of the number of enterprises taking the delay decision will not have an impact on the stability domain of Nash equilibrium point. However, there will be an increase in the average profit of the enterprise, while the increase of the delay parameters will expand the system Nash equilibrium point stability domain, and also reduce the accumulated average profit of the enterprise, so the enterprise in the oligarch market should adopt the delay decision and select the delay parameter appropriately. In order to be more realistic, the model comprehensively considers the non-symmetrical product substitution rate, the limited rational decision-making and other factors. On this basis, the complexity analysis of the model is carried out, the stable domain of Nash equilibrium point is given, and the influence of price adjustment speed on the price, profit and equilibrium period of the enterprise is studied by numerical simulation. It has been found that when the price adjustment speed of any enterprise in the market is too fast, it can cause the system to fall into a bad state, and make the profit of the enterprise in the system unable to realize the steady increase, so that the enterprise realizes the balanced cycle extension. Based on this, the paper also adopts the delay feedback control method to realize the three-oligarch price game system control. The state-of-the-art state affects not only the price decision-making of the enterprise, but also the sharp fluctuation of the profit of the enterprise. Therefore, in order to suppress and eliminate the influence of the state of the product, this paper adopts the delay feedback control method and the linear control method to effectively control the state of the price of the two models, and puts forward several measures that can help the enterprise to implement the feedback control: to control the product price adjustment speed, Reducing the product substitution rate, reducing the marginal cost of the product, choosing the appropriate delay weight coefficient, etc. can help the system to restore the steady state of the steady growth of the enterprise's profit.
【學(xué)位授予單位】:江西財經(jīng)大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2017
【分類號】:F224.32;F275
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