33 citations · 120 across the 40 of their papers we have counts for
43 papers
Uniform in time weak convergence for a Fleming-Viot particle system with hard killing
Pierre Cardaliaguet, Marco Cirant, Joe Jackson +1
This paper is concerned with the Fleming-Viot particle system introduced by Burdzy, Hołyst and March (2000). In this model, Brownian particles evolve independently in a bounded…
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…
A non-asymptotic approach to stochastic differential games with many players under semi-monotonicity
Marco Cirant, Joe Jackson, Davide Francesco Redaelli
We consider stochastic differential games with a large number of players, with the aim of quantifying the gap between closed-loop, open-loop and distributed equilibria. We show tha…
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…
Long Time Behavior and Stabilization for Displacement Monotone Mean Field Games
Marco Cirant, Alpár R. Mészáros
This paper is devoted to the study of the long time behavior of Nash equilibria in Mean Field Games within the framework of displacement monotonicity. We first show that any two eq…
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…
Critical Mass Phenomena and Blow-up behavior of Ground States in stationary second order Mean-Field Games systems with decreasing cost
Marco Cirant, Fanze Kong, Juncheng Wei +1
This paper is devoted to the study of Mean-field Games (MFG) systems in the mass critical exponent case. We firstly establish the optimal Gagliardo-Nirenberg type inequality associ…
Some remarks on Linear-quadratic closed-loop games with many players
Marco Cirant, Davide Francesco Redaelli
We identify structural assumptions which provide solvability of the Nash system arising from a linear-quadratic closed-loop game, with stable properties with respect to the number…
Stationary equilibria and their stability in a Kuramoto MFG with strong interaction
Annalisa Cesaroni, Marco Cirant
Recently, R. Carmona, Q. Cormier, and M. Soner proposed a Mean Field Game (MFG) version of the classical Kuramoto model, which describes synchronization phenomena in a large popula…
Comparison principles for nonlinear potential theories and PDEs with fiberegularity and sufficient monotonicity
Marco Cirant, Kevin R. Payne, Davide F. Redaelli
We present some recent advances in the productive and symbiotic interplay between general potential theories (subharmonic functions associated to closed subsets $\mathcal{F} \subse…
Ergodic Mean Field Games: existence of local minimizers up to the Sobolev critical case
Marco Cirant, Alessandro Cosenza, Gianmaria Verzini
We investigate the existence of solutions to viscous ergodic Mean Field Games systems in bounded domains with Neumann boundary conditions and local, possibly aggregative couplings.…
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…
On the improvement of Hölder seminorms in superquadratic Hamilton-Jacobi equations
Marco Cirant
We show in this paper that maximal -regularity for time-dependent viscous Hamilton-Jacobi equations with unbounded right-hand side and superquadratic -growth in the gradien…
Local Hölder and maximal regularity of solutions of elliptic equations with superquadratic gradient terms
Marco Cirant, Gianmaria Verzini
We study the local Hölder regularity of strong solutions of second-order uniformly elliptic equations having a gradient term with superquadratic growth , and right-hand s…
On the Liouville property for fully nonlinear equations with superlinear first-order terms
Marco Cirant, Alessandro Goffi
We consider in this note one-side Liouville properties for viscosity solutions of various fully nonlinear uniformly elliptic inequalities, whose prototype is $F(x,D^2u)\geq H_i(x,u…
Long time behaviour and turnpike solutions in mildly non-monotone mean field games
Marco Cirant, Alessio Porretta
We consider mean field game systems in time-horizon , where the individual cost functional depends locally on the density distribution of the agents, and the Hamiltonian is…
Existence and non-existence for time-dependent mean field games with strong aggregation
Marco Cirant, Daria Ghilli
We investigate the existence of classical solutions to second-order quadratic Mean-Field Games systems with local and strongly decreasing couplings of the form , ,…
Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and PDEs
Marco Cirant, F. Reese Harvey, H. Blaine Lawson +1
We prove comparison principles for nonlinear potential theories in euclidian spaces in a very straightforward manner from duality and monotonicity. We shall also show how to deduce…
Maximal -regularity for parabolic Hamilton-Jacobi equations and applications to Mean Field Games
Marco Cirant, Alessandro Goffi
In this paper we investigate maximal -regularity for time-dependent viscous Hamilton-Jacobi equations with unbounded right-hand side and superlinear growth in the gradient. Ou…
-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit
Annalisa Cesaroni, Marco Cirant
In this paper we consider an optimal control problem for a large population of interacting agents with deterministic dynamics, aggregating potential and constraints on reciprocal d…
Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient
Marco Cirant, Kevin R. Payne
The validity of the comparison principle in variable coefficient fully nonlinear gradient free potential theory is examined and then used to prove the comparison principle for full…
Splitting methods and short time existence for the master equations in mean field games
Pierre Cardaliaguet, Marco Cirant, Alessio Porretta
We develop a splitting method to prove the well-posedness, in short time, of solutions for two master equations in mean field game (MFG) theory: the second order master equation, d…