PreprintCC BY-NC-ND 4.0HAL
Uniqueness and attractiveness of stationary solutions in a harvesting mean field game
Abstract
Sustainable harvesting of natural resources is a central challenge both in ecology and economics. This paper explores a MFG model for harvesting in an aquatic ecosystem. Such systems have recently attracted attention from the applied mathematics community, and, due to the interplay between the competition of agents and the internal dynamics of the fish population, the analytical properties of the resulting system are very delicate to study. In the present work, we focus on stationary solutions, with a strong emphasis on their uniqueness and dynamical stability.
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BibTeX
@misc{lamonaca2026uniqueness,
title = {{Uniqueness and attractiveness of stationary solutions in a harvesting mean field game}},
author = {Greta Lamonaca and Idriss Mazari and Grégoire Nadin},
howpublished = {HAL},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35202},
eprint = {2610.35202},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05838843v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Uniqueness and attractiveness of stationary solutions in a harvesting mean field game
AU - Greta Lamonaca
AU - Idriss Mazari
AU - Grégoire Nadin
PY - 2026
DA - 2026/10/26
PB - HAL
DO - 10.48550/arxiv.2610.35202
UR - https://hal.science/hal-05838843v1
AB - Sustainable harvesting of natural resources is a central challenge both in ecology and economics. This paper explores a MFG model for harvesting in an aquatic ecosystem. Such systems have recently attracted attention from the applied mathematics community, and, due to the interplay between the competition of agents and the internal dynamics of the fish population, the analytical properties of the resulting system are very delicate to study. In the present work, we focus on stationary solutions, with a strong emphasis on their uniqueness and dynamical stability.
ER -