2 citations · 4 across the 11 of their papers we have counts for
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The petrol station game: the regional average price. A mean field analysis
Fabio Bagagiolo, Federico Pontiroli, Ivan Romanò
In January 2023, the obligation for petrol stations to display the average fuel price calculated on a regional basis was introduced by the Italian Government. A mean field game mod…
State-constrained optimal control of the continuity equation and infinite-dimensional viscosity solutions
Fabio Bagagiolo, Ivan Romanò
We study a finite horizon optimal control problem for the continuity equation under a weighted integral state constraint on the mass outside a fixed set. The model is cast in a Hil…
Flows of vector fields and the Kalman Theorem
Fabio Bagagiolo, Cristina Giannotti, Andrea Spiro +1
We give two proofs of the Kalman Theorem, alternative to the most common ones, which infer such a classical result of Control Theory using just very basic facts on flows of vector…
A zero-sum differential game for two opponent masses
Fabio Bagagiolo, Rossana Capuani, Luciano Marzufero
We investigate an infinite dimensional partial differential equation of Isaacs' type, which arises from a zero-sum differential game between two masses. The evolution of the two ma…
A single player and a mass of agents: a pursuit evasion-like game
Fabio Bagagiolo, Rossana Capuani, Luciano Marzufero
We study a finite-horizon differential game of pursuit-evasion like, between a single player and a mass of agents. The player and the mass directly control their own evolution, whi…
A time-dependent switching mean-field game on networks motivated by optimal visiting problems
Fabio Bagagiolo, Luciano Marzufero
Motivated by an optimal visiting problem, we study a switching mean-field game on a network, where both a decisional and a switching time-variable is at disposal of the agents for…