关键词: 博弈模型, 分数阶差分, 混沌, 混沌控制

Abstract: In view of the first-order difference game model can not effectively reflect the uncertainty of supply chain system and in the process of passing information distortion, a new three-dimensional Supply Chain Fractional order Difference Game Model（SCFDGM） composed of manufacturers, distributors and retailers is proposed. By using the correlation theory of fractional order difference, the numerical experiments are performed to analyze the complex dynamic behavior of SCFDGM, and the effect of the output adjustment speed parameter on the dynamic behavior of the system is discussed. The results show that production adjustment speed is too fast will lead to chaos in the manufactures output decision making, while the distributors and retailers are relatively stable. By using the method of parameter control, the double period bifurcation and unstable periodic orbit of the producer’s production are controlled, and the model of the chaotic model is stabilized to the Nash equilibrium state again. Therefore, SCFDGM provides a theoretical guide for the production, management, decision-making, market rational competition and orderly development of the supply chain system.

Key words: game model, fractional order difference, chaos, chaos control