Work

Uniqueness and attractiveness of stationary solutions in a harvesting mean field game

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.35202

Authors: Lamonaca, Greta, Mazari, Idriss, Nadin, Gr{é}goire

Institutions: Centre de Recherche en Mathématiques de la Décision, Centre National de la Recherche Scientifique

Language: English

Topic: Stochastic processes and financial applications

Subfield: Finance

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: green

Funders: European Commission, Agence Nationale de la Recherche, HORIZON EUROPE Framework Programme

Award: G553375094

OpenAlex ID: W7223901183

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