Research On Dynamic Bounded Rationality Adjustment Model Of Cournot Game With Price Discrimination

With the development of the Internet,merchants can obtain relevant information of consumers quickly,and identify different types of consumers effectively.Then implement price discrimination strategy for different consumer groups in order to get higher revenue.The behavior of such merchants selling homogeneous products to give different prices to different consumer groups is called price discrimination.Price discrimination,also known as price difference,is a pricing strategy for monopolistic companies to obtain excess profits through different prices.Therefore,it is of great significance to study the dynamic adjustment model of Cournot game with price discrimination.However,there are often multiple equilibrium points in the Cournot game problem with price discrimination,so it is particularly important to analyze the stability of equilibrium points and to choose a better equilibrium point from multiple equilibrium points.Price discrimination is a common economic phenomenon in today's life.In order to understand the impact of price discrimination on the equilibrium point of the dynamic model of Cournot game deeply,the dynamic adjustment model of Cournot game with price discrimination under different conditions is established and the stability of equilibrium points is analyzed.Firstly,this paper introduces price discrimination into the dynamic Cournot game model,establishes the dynamic adjustment model of Cournot game with price discrimination,and gives the dynamic price adjustment of bounded rationality(short-term optimization).Secondly,the concept of relative profit is introduced into the Cournot dynamic game adjustment model with price discrimination,and a new micro dynamic adjustment equation is given.Finally,the dynamic adjustment model of Cournot game with price discrimination is extended to the dynamic adjustment model of duopoly Cournot game with multiple price discrimination.Then the Nash equilibrium solution is obtained according to the corresponding adjustment model.The asymptotic stability of the equilibrium solution is proved,and the result is verified by the simulation method.