4 papers
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…
A "trembling hand perfect" equilibrium for a certain class of mean field games
P. Jameson Graber
We study a particular class of mean field games whose solutions can be formally connected to a scalar transport equation on the Wasserstein space of measures. For this class, we co…
Remarks on potential mean field games
P. Jameson Graber
In this expository article, we give an overview of the concept of potential mean field games of first order. We give a new proof that minimizers of the potential are equilibria by…
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…