Cooperative Game for Fish Harvesting and Pollution Control
This paper studies fishery strategies in lakes, seas, and shallow rivers subject to agricultural and industrial pollution. The flowing pollutants are modeled by a nonlinear differential equation in a general manner. The logistic growth model for the fish population is modified to cover the pollution...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Games |
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| Online Access: | https://www.mdpi.com/2073-4336/12/3/65 |
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| author | Mouhamadou Samsidy Goudiaby Ben Mansour Dia Mamadou L. Diagne Hamidou Tembine |
| author_facet | Mouhamadou Samsidy Goudiaby Ben Mansour Dia Mamadou L. Diagne Hamidou Tembine |
| author_sort | Mouhamadou Samsidy Goudiaby |
| collection | DOAJ |
| description | This paper studies fishery strategies in lakes, seas, and shallow rivers subject to agricultural and industrial pollution. The flowing pollutants are modeled by a nonlinear differential equation in a general manner. The logistic growth model for the fish population is modified to cover the pollution impact on the fish growth rate. We start by presenting the stability analysis of the dynamical system to discern the different types of the evolution of the fish population according to human actions. A cooperative game is formulated to design strategies for preserving the fish population by controlling the pollution as well as the fish stock for harvesting. The sufficient conditions for implementing the cooperative strategy are investigated through an incentive design approach with an adaptive taxation policy for the players. Numerical results are presented to illustrate the benefit of the cooperative for fish population preservation but also for the players’ rewards. |
| first_indexed | 2024-03-10T07:39:59Z |
| format | Article |
| id | doaj.art-bf2e7b7241c647c29dc12f4b5007b43f |
| institution | Directory Open Access Journal |
| issn | 2073-4336 |
| language | English |
| last_indexed | 2024-03-10T07:39:59Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Games |
| spelling | doaj.art-bf2e7b7241c647c29dc12f4b5007b43f2023-11-22T13:10:59ZengMDPI AGGames2073-43362021-08-011236510.3390/g12030065Cooperative Game for Fish Harvesting and Pollution ControlMouhamadou Samsidy Goudiaby0Ben Mansour Dia1Mamadou L. Diagne2Hamidou Tembine3Département de Mathématiques, UFR des Sciences et Technologies, Université Assane Seck de Ziguinchor, Ziguinchor BP 523, SenegalCollege of Petroleum Engineering and Geosciences (CPG), King Fahd University of Petroleum and Minerals (KFUPM), Dhahran 31261, Saudi ArabiaDépartement de Mathématiques, UFR des Sciences et Technologies, Université de Thiés, Thiés BP 967, SenegalLearning & Game Theory Laboratory (L&G-Lab), Division of Engineering, Saadiyat Campus, New York University Abu Dhabi (NYUAD), Abu Dhabi P.O. Box 129188, United Arab EmiratesThis paper studies fishery strategies in lakes, seas, and shallow rivers subject to agricultural and industrial pollution. The flowing pollutants are modeled by a nonlinear differential equation in a general manner. The logistic growth model for the fish population is modified to cover the pollution impact on the fish growth rate. We start by presenting the stability analysis of the dynamical system to discern the different types of the evolution of the fish population according to human actions. A cooperative game is formulated to design strategies for preserving the fish population by controlling the pollution as well as the fish stock for harvesting. The sufficient conditions for implementing the cooperative strategy are investigated through an incentive design approach with an adaptive taxation policy for the players. Numerical results are presented to illustrate the benefit of the cooperative for fish population preservation but also for the players’ rewards.https://www.mdpi.com/2073-4336/12/3/65biodiversity preservationstability analysisoptimal controlcooperative game |
| spellingShingle | Mouhamadou Samsidy Goudiaby Ben Mansour Dia Mamadou L. Diagne Hamidou Tembine Cooperative Game for Fish Harvesting and Pollution Control Games biodiversity preservation stability analysis optimal control cooperative game |
| title | Cooperative Game for Fish Harvesting and Pollution Control |
| title_full | Cooperative Game for Fish Harvesting and Pollution Control |
| title_fullStr | Cooperative Game for Fish Harvesting and Pollution Control |
| title_full_unstemmed | Cooperative Game for Fish Harvesting and Pollution Control |
| title_short | Cooperative Game for Fish Harvesting and Pollution Control |
| title_sort | cooperative game for fish harvesting and pollution control |
| topic | biodiversity preservation stability analysis optimal control cooperative game |
| url | https://www.mdpi.com/2073-4336/12/3/65 |
| work_keys_str_mv | AT mouhamadousamsidygoudiaby cooperativegameforfishharvestingandpollutioncontrol AT benmansourdia cooperativegameforfishharvestingandpollutioncontrol AT mamadouldiagne cooperativegameforfishharvestingandpollutioncontrol AT hamidoutembine cooperativegameforfishharvestingandpollutioncontrol |