Research On The Dynamics Of The Cournot Dynamical Game Models In The Electricity Market And The Renewable Resource Market

Based on the the related literatures and the the actual situation of the electricity mar-ket under background of the development of new energy, dynamical Cournot duopolygame models, three oligarchs and the four oligarchs nonlinear dynamical Cournot gamemodels in the electricity market under the background of development of new energy arebuilt up, respectively. Further more, based the related literatures, the nonlinear dynam-ical duopoly and triopoly game models with bounded strategy, and the dynamical teamduopoly and triopoly game models with bounded strategy in the renewable resource mar-ket are established, respectively. By the theory of bifurcation and chaos in the nonlineardynamic science, combining the principles of economics, the stability and the inherentcomplexity of the established models are deeply analyzed and considered.The innovative contents in this paper are mainly as follows:1. First of all, according to the related literatures and the actual situation of theelectricity market under background of the development of new energy, three diferen-t nonlinear dynamical Cournot duopoly game models are established, which are underthe strategies of bounded rationality, delay bounded rationality, delay bounded rational-ity because of delayed information. According to the actual situation of the electricitymarket, the models have the square form inverse demand function and two types of costfunctions (the traditional coal companies have binomial form cost functions, but the newenergy companies have linear form cost functions), which are more in accord with theactual situation of the electricity market under background of the development of new en-ergy. By theoretical analysis and numerical simulations, the regions of the local stabilityof the Nash equilibrium points are obtained. Furthermore, the output adjustment speedparameters efect on the dynamic behaviors of the systems, which are analyzed in detail.2. As the electricity firms may make heterogeneous output strategies, the expec-tations of the electricity firms may diferent. In this paper, under the portfolio strategies(including bounded rationality strategies, adaptive strategies, the static expected strategy),three types of triopoly nonlinear dynamical Cournot game models in the electricity marketunder the background of development of new energy are built up. The output adjustmentspeed parameters efect on the triopoly nonlinear dynamical Cournot game models withdiferent expectation strategies, and the complex dynamic behaviors of the models arestudied in detail. Furthermore, the four oligarchs game model in the in the electricitymarket under the background of development of new energy with bounded rationality strategy is established, and the stability and the inherent complexity of the models arestudied in detail.3.Based on the related reference literatures, the duopoly and the triopoly dynami-cal Cournot game models in the renewable resources market with bounded rationality areestablished. The models have linear inverse demand functions and nonlinear cost func-tions. Furthermore, the output adjustment speed parameters impact on the stability of therenewable resource market, which are analyzed in detail.4. Furthermore, as there may be existed collaboration relationship between the re-newable resource enterprises, the oligarch enterprises may establish team organization.The team duopoly and the triopoly with team players dynamical Cournot game modelsin the renewable resources market with bounded rationality are respectively establishedin this paper. The influences of the output adjustment speed parameters and the weightfactor of the team on the dynamic characteristics of the systems are researched in detail.5. Oligopolistic firms over production competition game may cause the market toinstability, and even lead to a chaotic state.The parameters adjustment, the straight-linestabilization, the time-delayed feedback and the linear feedback methods are used to con-trol of the chaotic behaviors of the systems, which are efciently to postpone or eliminatethe complex phenomenon of bifurcation and chaos. In this paper, the stability of thesystem, chaos and its control are given economic connotations which are provided veryuseful theoretical and practical values to solve problems in economics and management.