Analysis Of A Renewable Resource Duopoly Game With Bounded Rationality

Based on the Coumot model with bounded rationality,this article adopts various strategies of output adjustment to study the resource duopoly game.The main content is depicted as follows:Firstly,the basic concept and fundamental theory are introduced.Secondly,on the basis of the classic Cournot model,taking resources as the subject for study,we analyze via adjusting the marginal profit two different strategies, according to which we introduce a discrete dynamic duopoly game model for the both cooperatives and non-cooperatives respectively.Through the model analysis and numerical simulation with Matlab,as well as the comparation of Nash equilibrium point's the stable range between the cooperatives and non-cooperatives,we try to choose the strategies more conducive to the stability of resource development in the long term,and to analyze the impact on the system stability and stable points the parameters of discount rate,the growth rate of resources(and etc.) put.Finally,the issues of resource duopoly game are focused.The output adjustment strategies mentioned above based on estimating the marginal profit are given up,and substituted by these based on Nash equilibrium.Here,a discrete dynamic system of resource output game is constructed on the basis of bounded rational decision-making, with the constraints of resource reserve.This article will mainly analyze the system stability and the equilibrium characteristics of the stable points,and compare the system added feedback control to the original.