6 papers · 1 filter
On the unimportance of distant players in sparse stochastic differential network games
Marco Cirant, Davide Francesco Redaelli
We study stochastic differential games with players, where interactions are determined by sequences of graphs in which the number of neighbours of each node remains bounded as…
The local Turnpike Property in Mean Field Control and Games with quadratic Hamiltonian
Marco Cirant, Nicolò De Bernardi
We study the local stability properties of solutions to ergodic and discounted mean field games systems, as the time horizon , around stationary equilibria, when the…
Uniqueness of solutions to MFG systems with large discount
Marco Cirant, Elisa Continelli
We prove that solutions to a class of Mean Field Game systems with discount are unique provided that the discount factor is large enough, and the Lagrangian term is (proportionally…
Convergence rates for the vanishing viscosity approximation of Hamilton-Jacobi equations: the convex case
Marco Cirant, Alessandro Goffi
We study the speed of convergence in norm of the vanishing viscosity process for Hamilton-Jacobi equations with uniformly or strictly convex Hamiltonian terms with super…
A priori estimates and large population limits for some nonsymmetric Nash systems with semimonotonicity
Marco Cirant, Davide Francesco Redaelli
We address the problem of regularity of solutions to a family of semilinear parabolic systems of equations, which describe closed-loop equilibria of s…
Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms
Marco Cirant, Alessandro Goffi, Tommaso Leonori
This paper studies global a priori gradient estimates for divergence-type equations patterned over the -Laplacian with first-order terms having polynomial growth with respect to…