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…
A Model Problem for First Order Mean Field Games with Discrete Initial Data
P. Jameson Graber, Brady Zimmerman
In this article, we study a simplified version of a density-dependent first-order mean field game, in which the players face a penalization equal to the population density at their…