Chaotic Characteristics and Application of Cooperative Game and Evolutionary Game

Abstract EN

According to a dynamical multiteam Cournot game in exploitation of a renewable resource, a new dynamic Cournot duopoly game model with team players in exploitation of a renewable resource is built up in this paper.

Based on the theory of bifurcations of dynamical systems, the stability of the system is studied and the local stable region of Nash equilibrium point is obtained.

The effect of the output adjustment speed parameters and the weight parameter of the system on the dynamic characteristics of the system are researched.

The complexity of the system is described via the bifurcation diagrams, the Lyapunov exponents, the phase portrait, the time history diagram, and the fractal dimension.

Furthermore, the chaos control of the system is realized by the parameter adjustment method.

At last, an evolutionary game as a special dynamic system is constructed and analyzed which is more useful and helpful in application.

The derived results have very important theoretical and practical values for the renewable resource market and companies.