A Cooperative Stochastic Differential Game of Transboundary Industrial Pollution between Two Asymmetric Nations. (18th April 2017)

• Record Type: Journal Article
• Authors: Yi, Yongxi; Xu, Rongwei; Zhang, Sheng
• Other Names: Wang Huanqing Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-04-18
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/9492582
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Considering the fact that transboundary pollution control calls for the cooperation between interested parties, this paper studies a cooperative stochastic differential game of transboundary industrial pollution between two asymmetric nations in infinite-horizon level. In this paper, we model two ways of transboundary pollution: one is an accumulative global pollutant with an uncertain evolutionary dynamic and the other is a regional nonaccumulative pollutant. In our model, firms and governments are separated entities and they play a Stackelberg game, while the governments of the two nations can cooperate in pollution reduction. We discuss the feedback Nash equilibrium strategies of governments and industrial firms, and it is found that the governments being cooperative in transboundary pollution control will set a higher pollution tax rate and make more pollution abatement effort than when they are noncooperative. Additionally, a payment distribution mechanism that supports the subgame consistent solution is proposed.