12 citations · 21 across the 18 of their papers we have counts for
11 papers · 1 filter
On monotonicity conditions for Mean Field Games
P. Jameson Graber, Alpár R. Mészáros
In this paper we propose two new monotonicity conditions that could serve as sufficient conditions for uniqueness of Nash equilibria in mean field games. In this study we aim for $…
On Some Mean Field Games and Master Equations through the lens of conservation laws
P. Jameson Graber, Alpár R. Mészáros
In this manuscript we derive a new nonlinear transport equation written on the space of probability measures that allows to study a class of deterministic mean field games and mast…
Master Equation for Cournot Mean Field Games of Control with Absorption
P. Jameson Graber, Ronnie Sircar
We establish the existence and uniqueness of a solution to the master equation for a mean field game of controls with absorption. The mean field game arises as a continuum limit of…
Parameter sensitivity analysis for mean field games of production
P. Jameson Graber, Marcus Laurel
We study a mean field game system introduced by Chan and Sircar (AMO, 2015) to model production of an exhaustible resource. In particular, we study the sensitivity of the solution…
Weak Solutions for Potential Mean Field Games of Controls
Jameson Graber, Alan Mullenix, Laurent Pfeiffer
We analyze a system of partial differential equations that model a potential mean field game of controls, briefly MFGC. Such a game describes the interaction of infinitely many neg…
Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
Fabio S. Bemfica, Marcelo M. Disconzi, P. Jameson Graber
We study the theory of relativistic viscous hydrodynamics introduced in arXiv:1109.0985 and arXiv:1907.12695, which provided a causal and stable first-order theory of relativistic…
The planning problem in Mean Field Games as regularized mass transport
P. Jameson Graber, Alpár R. Mészáros, Francisco J. Silva +1
In this paper, using variational approaches, we investigate the first order planning problem arising in the theory of mean field games. We show the existence and uniqueness of weak…
Sobolev regularity for first order Mean Field Games
P. Jameson Graber, Alpár R. Mészáros
In this paper we obtain Sobolev estimates for weak solutions of first oder variational Mean Field Game systems with coupling terms that are local function of the density variable.…
Variational mean field games for market competition
P. Jameson Graber, Charafeddine Mouzouni
In this paper, we explore Bertrand and Cournot Mean Field Games models for market competition with reflection boundary conditions. We prove existence, uniqueness and regularity of…
Existence and uniqueness of solutions for Bertrand and Cournot mean field games
P. Jameson Graber, Alain Bensoussan
We study a system of partial differential equations used to describe Bertrand and Cournot competition among a continuum of producers of an exhaustible resource. By deriving new a p…
Weak solutions for mean field games with congestion
Philip Jameson Graber
We study the short-time existence and uniqueness of solutions to a coupled system of partial differential equations arising in mean field game theory. It has the generic form $$ \l…