A differential game analysis of multipollutant transboundary pollution in river basin

Huiquan Li and Genlong Guo

Physica A: Statistical Mechanics and its Applications, 2019, vol. 535, issue C

Abstract: In this paper, we present a differential game model of watershed multi-pollutant transboundary pollution in which the pollutants can be either technological substitutes or complements, and the abatement costs of two pollutants are not separable. It is the first time that the multi-pollutant is derived in a cooperative differential game on transboundary pollution control. The results are discussed with some illustrative examples under the cases of the pollutants are substitutes and complements. Our results show that (i) the system always admits saddle point steady-state equilibrium under the non-cooperative and cooperative games,respectively; (ii) when the pollutants are substitutes or complements, the upstream region optimal emission levels in the cooperative game are lower than that in the non-cooperative game; while the downstream region optimal emission levels in the cooperative game are equal to that in the non-cooperative game; (iii) the upstream region optimal pollution stocks in the cooperative game are lower than that in the non-cooperative game under the case when the pollutants are substitutes or complements.

Keywords: Dynamic control; Multipollutant; Transboundary pollution; River basin (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119314256

DOI: 10.1016/j.physa.2019.122484

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