3 papers
math.AP2025
Mean Field Games of Controls with Fractional Laplacian
P. Jameson Graber, Elizabeth Matter, Jesus Ruiz Bolanos
We analyze a fractional mean field game of controls system, showing existence of solutions when the order of the fractional Laplacian is . Here the running cos…
math.OC2024
New Uniqueness Results For A Mean Field Game Of Controls
Jameson Graber, Elizabeth Matter
We propose a new approach to proving the uniqueness of solutions to a certain class of mean field games of controls. In this class, the equilibrium is determined by an aggregate qu…
math.OC2023
Cluster formation in iterated Mean Field Games
P. Jameson Graber, Ellie Matter, Rafael Morales +1
We study a simple first-order mean field game in which the coupling with the mean field is only in the final time and gives an incentive for players to congregate. For a short enou…