5 papers
Constrained Mean Field Games with Grushin type dynamics
Alessandra Cutrì, Paola Mannucci, Claudio Marchi +1
This paper is devoted to a class of finite horizon deterministic mean field games with Grushin type dynamics, state constraints and nonlocal coupling. First, we consider the optima…
Deterministic Mean Field Games on Networks and Related Optimal Control Problems
Yves Achdou, Claudio Marchi, Nicoletta Tchou
We study a class of deterministic mean field games and related optimal control problems, with a finite time horizon and in which the state space is a network. An agent controls her…
The continuity equation in the Heisenberg-periodic case: a representation formula and an application to Mean Field Games
Alessandra Cutrì, Paola Mannucci, Claudio Marchi +1
We provide a representation of the weak solution of the continuity equation on the Heisenberg group with periodic data (the periodicity is suitably adapted to the gro…
First order Mean Field Games on networks
Yves Achdou, Paola Mannucci, Claudio Marchi +1
This paper is devoted to finite horizon deterministic mean field games in which the state space is a network. The agents control their velocity, and when they occupy a vertex, they…
Deterministic mean field games with control on the acceleration and state constraints
Yves Achdou, Paola Mannucci, Claudio Marchi +1
We consider deterministic mean field games in which the agents control their acceleration and are constrained to remain in a domain of R n. We study relaxed equilibria in the Lagra…