| The emission trading system aims at the total amount control and takes the market as the means,which helps to reduce the total cost of social governance.It is an effective system to control the total pollutant discharge.At present,the Chinese market mechanism is still immature.After the introduction of the emission trading system,the market is easily distorted,resulting in the competitive industry becoming an oligopoly structure,thus affecting the governance effect.In addition,after the introduction of emissions trading,the production and operation decisions of the polluting enterprises will also be significantly affected.Therefore,it is necessary to analyze the complexity of the oligopolistic enterprises under the emissions trading,and provide new ideas for enterprise development.Based on the game theory and the nonlinear dynamic system method,this paper establishes a double-oligomer game quantity model based on the emission trading.Firstly,based on the two oligopoly homogeneous bounded rationality hypothesis,the emission trading function and the more realistic pollution reduction cost function are introduced into the Cournot production competition model,and the selection of the optimal reduction level of the enterprise is analyzed,and then the impact of the implementation of emission trading system on the volume,cost and profit of enterprises and the stability of Nash equilibrium is discussed.The results show that in the double-oligose game volume-based profit model in considering of emissions trading,the two companies’ respective pollution production coefficient,cost reduction coefficient,product differentiation coefficient between enterprises,and market price of emission rights will affect the balanced production of oligopoly.However,the initial allocation of emission rights does not lead to the change of the equilibrium yield.Through numerical simulation of the system,it is found that the production adjustment speed,the product difference coefficient,the market price of the emission rights,and the cost reduction factor have a significant impact on the stability of the system.Subsequently,this paper relaxed the homogenous basic bounded rationality hypothesis,and gave the two oligarchic enterprises a more realistic heterogeneous bounded rationality.The two enterprises had basic bounded rationality and adaptive expectation respectively,and constructed a two-dimensional discrete nonlinear dynamic system of duopoly dynamic game.This paper continues to discuss the impact of the two companies’ pollution coefficient,cost reduction coefficient and product differentiation coefficient between enterprises,market price of emission rights on equilibrium production and stability,and numerically simulates branches,chaos and strange attractors.The results show that the adaptive expectation has less impact on the stability of the system than the basic bounded rationality.Finally,the performance of system chaos caused by system parameter changes is analyzed,and the two systems are chaotically controlled by linear feedback control method and nonlinear feedback control method.The results show that both methods can restore the system to equilibrium state,but the nonlinear feedback control method is more effective than the linear feedback control method,and then the economic value of the control factor is mined. |
PDF Full Text Request