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The Complexity Analysis Of The Nonlinear Duopoly Game Model Under Cooperation

Posted on:2019-06-21Degree:MasterType:Thesis
Country:ChinaCandidate:K LongFull Text:PDF
GTID:2359330545495593Subject:Mathematics
Abstract/Summary:PDF Full Text Request
This paper discusses the cooperation between enterprises in the nonlinear duopoly model,we improve the model,introduce and study two dynamic adjustment strategy,one is to realize the dynamic adjustment strategy of cooperation between the two enterprises in the repeated game,and the other a tit for tat strategy.Through the analysis of the model and the numerical simulation with Matlab,this paper attempts to provide a theoretical reference for the establislhment of the enterprise cooperation target and the survival and development of the enterprise.The following is the main work and content of this article:1.the current economic market situation,the present research progress of the Cournot model and the comprehensive introduction of its stability theory.Then the nonlinear Cournot dual oligopoly model is introduced and constructed,and the present situation of the nonlinear Cournot dual oligopoly model is emphatically analyzed.2.we introduce and study repeated games and related cases.Then we establish a nonlinear duopoly Cournot model,analyze the stability of equilibrium points under different adjustment strategies,and point out that the stability of the system is sensitive to parameters.Next,we should choose between the profits between the two enterprises and the cooperative profits with Pareto lptimality.H we adjust our production output and maintain the adjustment parameters within a eertain range the equilibrium point will beeome stable and achieve the Pareto optimum.3.we established a two model with time delay feedback control and own adjustment parameters,and studied the adjustment of two enterprises in order to achieve cooperation needs.Research shows that when the two cooperative companies to achieve coopcration,when one party produces more than or less than the cooperative output,it will have to reduce or increase the output in the next period,otherwise the cooperative relationship will be broken.The stability of the model fixed point is analyzed.The results show that pareto optimality is stable when the cooperation between enterprises is evaluated within a certain range of parameters.Therefore,under this strategy can be achieved.
Keywords/Search Tags:Cournot Duopoly, Game, Fixed Point, Parcto optimality, Cooperation
PDF Full Text Request
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