5 papers · 1 filter
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…
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…
Mean Field Games with monotonous interactions through the law of states and controls of the agents
Z Kobeissi
We consider a class of Mean Field Games in which the agents may interact through the statistical distribution of their states and controls. It is supposed that the Hamiltonian beha…
Mean Field Games of Controls: Finite Difference Approximations
Y Achdou, Z Kobeissi
We consider a class of mean field games in which the agents interact through both their states and controls, and we focus on situations in which a generic agent tries to adjust her…
On Classical Solutions to the Mean Field Game System of Controls
Z Kobeissi
In this paper, we consider a class of mean field games in which the optimal strategy of a representative agent depends on the statistical distribution of the states and controls. W…