Chaotic Characteristics and Application of Cooperative Game and Evolutionary Game

作者: Yujing Yang , Junhai Ma , Hongliang Tu

DOI: 10.1155/2014/908093

关键词: ChaoticPhase portraitComputer scienceDynamical systems theoryCournot competitionMathematical optimizationEquilibrium selectionStability (learning theory)BifurcationLyapunov exponent

摘要: According to a dynamical multiteam Cournot game in exploitation of renewable resource, new dynamic duopoly model with team players resource is built up this paper. Based on the theory bifurcations systems, stability system studied and local stable region Nash equilibrium point obtained. The effect output adjustment speed parameters weight parameter characteristics are researched. complexity described via bifurcation diagrams, Lyapunov exponents, phase portrait, time history diagram, fractal dimension. Furthermore, chaos control realized by method. At last, an evolutionary as special constructed analyzed which more useful helpful application. derived results have very important theoretical practical values for market companies.

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