Abstract
In this paper, we discuss a cooperative stochastic differential game for the transboundary industrial pollution problems of Three Gorges Reservoir Area. Base on the stochastic optimal control theory, we derive the Hamilton–Jacobi–Bellman equations for the cooperative games. Furthermore we solve the Hamilton–Jacobi–Bellman equations by using a fitted finite volume method. Finally, an empirical study base on the datum of Three Gorges Reservoir Area is given to demonstrate the efficiency and usefulness of the numerical method.
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The authors express their thanks to the referees for their helpful suggestions, which lead to improvements of the presentation.
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This work is supported by National Basic Research Program (2012CB955804), Major Research Plan of National Natural Science Foundation of China (91430108), National Science Foundation of China (11201510, 11171251), Innovation Team Building at Institutions of Higher Education in Chongqing (CXTDX201601035), China Postdoctoral Science Foundation (2015M580197), Chongqing Research Program of Basic Research and Frontier Technology (cstc2015jcyjA20001), Science and Technology Project of Wanzhou District of Chongqing (2013030050), Ministry of education Chunhui Projects (Z2015139), Major Program of Tianjin University of Finance and Economics (ZD1302), Research Foundation of Chongqing Municipal Education Commission (KJ1710253, KJ1501004), Program of Key Laboratory of Chongqing Municipal Institutions of Higher Education ([2017]3, KJ1401010), and Program of Chongqing Development and Reform Commission (2017[1007]).
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Lu, Z., Feng, Y., Zhang, S. et al. An Empirical Study for Transboundary Pollution of Three Gorges Reservoir Area with Emission Permits Trading. Neural Process Lett 48, 1089–1104 (2018). https://doi.org/10.1007/s11063-017-9769-1
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DOI: https://doi.org/10.1007/s11063-017-9769-1
Keywords
- Transboundary pollution
- Three Gorges Reservoir Area
- Fitted finite volume method
- Stochastic differential game
- Hamilton–Jacobi–Bellman equation