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math.AP2024
Mean-field games for harvesting problems: Uniqueness, long-time behaviour and weak KAM theory
Ziad Kobeissi, Idriss Mazari-Fouquer, Domènec Ruiz-Balet
The goal of this paper is to study a Mean Field Game (MFG) system stemming from the harvesting of resources. Modelling the latter through a reaction-diffusion equation and the harv…
math.AP2023
The tragedy of the commons: A Mean-Field Game approach to the reversal of travelling waves
Ziad Kobeissi, Idriss Mazari-Fouquer, Domenec Ruiz-Balet
The goal of this paper is to investigate an instance of the tragedy of the commons in spatially distributed harvesting games. The model we choose is that of a fishes' population th…