【摘要】 基于Bertrand竞争,考虑技术溢出的距离衰减效应,引入技术创新参数,建立起集群内采用Naive和GD策略的双寡头企业的价格动态博弈模型,分析了技术创新参数对博弈均衡稳定性的影响,并进行了数值模拟。研究表明:采用GD策略企业的价格调整速度过大会使价格演化发生分叉和混沌;技术创新对均衡的稳定性具有重要的改善作用,即增加企业的创新产出可以增大均衡存在的稳定区域,减少价格博弈系统的分叉和混沌现象;技术创新下,间距较小的企业间的竞争更易实现价格均衡。更多还原

【Abstract】 The stability of the price market is good for restraining inflation, maintaining market integrity, and stabilizing the whole society. Maintaining the price market stability is one of the important goals of national macroeconomic policy for many countries. The fluctuation of price market is the result of the price game. Bertrand competition is a simple simulation of price game. Important research problems include the stability analysis of Bertrand’s competitive equilibrium and the chaos control of its dynamic process. Enterprise cluster, as a special form of economic organization, plays an important role in the social development process. At present, it has become an important economic development model in the world. Furthermore, enterprise cluster is characterized by geographical proximity and technological spillovers, which both can enhance the price game between enterprises. Therefore, it is necessary to study the price market stability in the enterprise cluster. In addition, the important role of technological innovation has been proven in many documents. However, whether technology innovation has promotional effect on the stable price market has not been studied. This paper studies the effect of technological innovation on price stability under the environment of enterprise cluster. The paper is expected to find new ways to stabilize the price market, and provide a theoretical reference for the government to formulate a strategy to stabilize economy. After considering Bertrand competition, the distance decay effect of technological spillover, and technology innovation parameters, the paper first established the price dynamic game model of duopoly enterprises by taking Naive and GD strategies in the cluster. Moreover, this paper analyzed the influence of technology innovation on the equilibrium stability by applying chaos theory. This paper specifically studied the effect of three variables on the stability of equilibrium points, which are price adjustment speed, technology innovation achievement, and enterprise spacing. At last, numerical simulation was carried out. Aimed at understanding enterprise clusters, this paper discussed the effect of technological innovation on the stability of market price and the mechanism of its influence. The research shows that there is a price competition between double oligopoly enterprises. Dynamic price game strategies can lead to the chaos of the price market in enterprise clusters. However, technology innovation can improve the stability of the price game system. In particular, the excessive price adjustment speed of enterprises taking GD strategy will cause bifurcation and chaos of the price evolution. It can enlarge the equilibrium stability region and reduce the bifurcation and chaos of the system to achieve technology innovation. Under technology innovation, enterprises with small space are more likely to achieve equilibrium. The results of the study have important policy implications for how to stabilize the price market. The government can stabilize the price market by limiting the speed of enterprise’s price adjustment appropriately, encouraging enterprises to carry out technological innovation, and improving enterprise cooperation.更多还原