16 citations · 36 across the 13 of their papers we have counts for
4 papers · 2 filters
A variational approach to first order kinetic Mean Field Games with local couplings
Megan Griffin-Pickering, Alpár R. Mészáros
First order kinetic mean field games formally describe the Nash equilibria of deterministic differential games where agents control their acceleration, asymptotically in the limit…
Mean Field Games systems under displacement monotonicity
Alpár R. Mészáros, Chenchen Mou
In this note we prove the uniqueness of solutions to a class of Mean Field Games systems subject to possibly degenerate individual noise. Our results hold true for arbitrary long t…
Well-posedness of mean field games master equations involving non-separable local Hamiltonians
David M. Ambrose, Alpár R. Mészáros
In this paper we construct short time classical solutions to a class of master equations in the presence of non-degenerate individual noise arising in the theory of mean field game…
Mean Field Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity
Wilfrid Gangbo, Alpár R. Mészáros, Chenchen Mou +1
In this manuscript, we propose a structural condition on non-separable Hamiltonians, which we term displacement monotonicity condition, to study second order mean field games maste…