Research On Optimal Energy Mining Strategies Under Learning By Doing And Sticky Prices

As a new type of energy,the renewable energy is widely used in human production and life and the problem of the lack of human non-renewable energy at this stage can be solved.In order to study the economic benefits of the renewable energy production and the impact in human environment,we establish a differential game model and conducted analysis by using MATLAB math software to numerical simulation in the issue of the renewable energy for the two miners.The first part is the introduction.The background and research status of the problem,and the results that have been achieved are introduced.In the second part of this paper,the stock of renewable energy is used as the state variable and the amount of renewable energy is taken as the control variable to establish the differential game model under learning by doing.Under the two mechanisms of non-cooperative game and cooperative game,we discuss the quantity of the two miners by using the Pontryagin’s maximum principle to solve the problem.We apply MATLAB software to numerical simulation.In the both mechanisms,we give the assignment of parameters in a certain economic significance basing on the numerical result of the optimal solution of the objective function and a comparative analysis shows that the quantity of the miners can increase the mining output under learning by doing.So the two miners should consider mining under the cooperative mechanism.In the third part of this paper,the sticky price of the product is the state variable,and the renewable energy output is the control variable.We establish the differential game model under learning by doing.Under the two mechanisms of non-cooperation and cooperation,we analyse the solution of the renewable energy production,then compare and analyse the yields of them.Finally,we use the MATLAB to numerical simulation,and comparatively analyze the economically meaningful values of the parameters in the objective function.So the conclusion is that the two miners should consider mining under the cooperative mechanism.