Considering the popular use of a certain kind of supervision management problem in many fields, we firstly build an ordinary\nsupervision game model of multiple stakeholders. Secondly, a fractional supervision game model is set up and solved based on the\ntheory of fractional calculus and a predictor-corrector numerical approach. Thirdly, the methods of phase diagram and time series\ngraph were applied to simulate and analyse the dynamic process of the fractional order game model. Results of numerical solutions\nare given to illustrate our conclusions and referred to the practice.
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