5 papers
Origin-to-destination network flow with path preferences and velocity controls: a mean field game-like approach
Fabio Bagagiolo, Rosario Maggistro, Raffaele Pesenti
In this paper we consider a mean field approach to modeling the agents flow over a transportation network. In particular, beside a standard framework of mean field games, with cont…
A hybrid differential game with switching thermostatic-type dynamics and cost
Fabio Bagagiolo, Rosario Maggistro, Marta Zoppello
In this paper we consider an infinite horizon zero-sum differential game where the dynamics of each player and the running cost are also depending on the evolution of some discrete…
A mean field approach to model flows of agents with path preferences over a network
Fabio Bagagiolo, Rosario Maggistro, Raffaele Pesenti
In this paper, we address the problem of modeling the traffic flow of a heritage city whose streets are represented by a network. We consider a mean field approach where the standa…
Optimal motion of a scallop: some case studies
Rosario Maggistro, Marta Zoppello
In this paper we focus on a two-link swimmer called scallop which moves changing dynamics between two fluids regimes. We address and solve explicitly two optimal control problems,…
A differential game with exit costs
Fabio Bagagiolo, Rosario Maggistro, Marta Zoppello
We study a differential game where two players separately control their own dynamics, pay a running cost, and moreover pay an exit cost (quitting the game) when they leave a fixed…