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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9123624, 9 pages
https://doi.org/10.1155/2017/9123624
Research Article

A Fractional Supervision Game Model of Multiple Stakeholders and Numerical Simulation

1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
2College of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China

Correspondence should be addressed to Xinhua Wang; moc.361@102auhnixgnaw

Received 10 February 2017; Revised 3 April 2017; Accepted 3 April 2017; Published 13 April 2017

Academic Editor: Vladimir Turetsky

Copyright © 2017 Rongwu Lu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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