Research On Game Characteristics Of Low-carbon Oligopoly Based On Multi-factor Influence

With the construction of ecological civilization and the enhancement of people’s awareness of environmental protection,low-carbon operation and fierce market competition make enterprise decision-making face severe challenges.Based on the research of domestic and foreign scholars on the low-carbon operation of enterprises,the game models of the delay price and output of oligopoly enterprises based on the delay strategy are constructed.By using game theory,chaos theory,bifurcation theory of delay differential equation and other relevant theories,this thesis analyzes the influence of the interaction of low-carbon production capacity sharing,low-carbon technology sharing,product green degree,extended warranty green degree,delay strategy and other factors on the complexity of the game model and its dynamic evolution behavior,and explores the influence of the stability of the system on its evolution trajectory.The main research conclusions and innovation points of this thesis are summarized as follows:Firstly,based on the analysis of the differences of oligopoly enterprises’ lowcarbon production capacity,the pricing strategies of the duopoly enterprises with competitive and cooperative relationship under the constraints of low-carbon production capacity sharing and carbon emission were studied.The optimal pricing strategy and capacity matching degree of Stackelberg duopoly with or without capacity sharing were compared and analyzed.This thesis built a delay differential price game model,analyzed the influence of variables such as capacity matching degree,carbon quota,carbon trading,carbon tax and delay strategy on the optimal strategy and system stability,and described the chaotic characteristics of the game system by means of bifurcation graph and Lyapunov index graph.It is found that low-carbon capacity sharing can achieve a win-win situation for enterprises,and the state of the system can affect the price and profit evolution trajectory.Secondly,based on the analysis of the differences of low-carbon technologies of oligopoly enterprises,the pricing strategies of the duopoly enterprises in the research and development and sharing of low-carbon technologies were studied.The optimal pricing strategies with or without low-carbon technology development and sharing and with or without delay strategy were compared and analyzed.Based on rules of limited rational expectations,this thesis built Stackelberg duopoly delay differential price game model,mainly explored the share proportion,unit technology sharing fees and other variables on the optimal pricing and the effect on the stability of the system,using the means such as attractor figure,entropy diagram to describe the characteristics of chaos game system for the harm done by the pricing strategy.It is found that low-carbon technology sharing can also achieve a win-win situation for enterprises,and the stability of the system and the complexity of the system have a synchronous change trend.Thirdly,considering the positive influence of product green degree on the product demand,the optimal game strategies under non-intervention mechanism,subsidy mechanism,reward and punishment mechanism and tax mechanism based on product green degree were compared and analyzed.This thesis built a three-oligarch delay differential output game model of Nash game,studied the effects of the adjustment strategies of the three oligopoly’s variables,such as product green level,output adjustment speed and decision weight,on the game equilibrium strategy,system stability and system complexity.In particular,the interaction between the double-delay variables and the dynamic game behavior of the system was analyzed.An effective variable feedback control method was proposed for chaotic systems.It is found that in a stable system,the evolutionary equilibrium state under the limited rational expectation is infinitely close to the optimal strategy under the complete rationality,and the delay strategy does not affect the equilibrium solution of the game system.Finally,based on improving product green degree through resource sharing,this thesis studied the pricing strategy when enterprises provide extended warranty service to consumers in the sales process,and compared and analyzed the optimal price and profit under fixed extended warranty period,variable extended warranty period and variable quality warranty period based on green degree of extended warranty service.This thesis constructed a three-oligopoly delay differential price game model of Nash game,and analyzed the influence of variables such as the sensitivity of extended warranty price and extended warranty green degree,decision weight and delay strategy on the complex characteristics of system such as bifurcation and chaos.An effective delayed feedback control method was proposed for chaotic systems.It is found that the chaotic system leads to the increase of product price,the improvement of price sensitivity can expand the stable region of the system and cause the decrease of price,and there exist interval constraints in the adjustment of decision variables.