In this talk, we will present a work in collaboration with Z. Kobeissi and D. Ruiz-Balet where we analyse an optimal harvesting problem from the point of view of Mean Field Games. Our goal is to show that, one the one hand, a purely selfish harvesting strategies, whereby each single fisherman acts in his best interest, can drive the population to extinction while a coordinated plan of action, where fishermen would coordinate, would actually lead to a survival of the fishes’ population, and to a higher harvested yield for every single fisherman. Mathematically, we will use a travelling wave approach, focusing on a bistable model for which, when no fisherman is present, travelling wave solutions are invading. We will model the behaviour of fisherman using the MFG formalism.
This video was produced by the SITE Research Center at New York University, as part of their talk series.
