Differential Game Model for Sustainability Multi-Fishery

Nadia Raissi (), Chata Sanogo and Mustapha Serhani ()
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Nadia Raissi: Faculty of Sciences, Mohammed V University in Rabat
Chata Sanogo: Faculté des Sciences et Techniques, Université des Sciences des Techniques et des Technologies de Bamako
Mustapha Serhani: TSI Team, FSJES, University Moulay Ismail, Department of Economy

A chapter in Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, 2019, pp 119-137 from Springer

Abstract: Abstract The purpose of this work is to study a fishery model in which the resource, a global fish stock, is exploited by two fleets. Invoking differential games theory, the model is perceived as a competition between two players, each of them trying to maximize their income generated by the exploitation. Assuming that the players don’t cooperate, we determine the optimal trajectory leading to a Nash equilibrium common to both players. The proof of optimality is based on the value function and Hamilton–Jacobi–Bellman (HJB) equation. The optimal strategy as presented in this study guarantees the sustainability of exploitation for both fleets and avoids the situation for which only the most effective fleet survives, whereas its competitor is forced to leave the competition.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-23433-1_9

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DOI: 10.1007/978-3-030-23433-1_9

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