3 papers
math.OC2025
Generalized differentiation in Wasserstein space and application to multiagent control problem
Rossana Capuani, Antonio Marigonda, Marc Quincampoix
Several concepts of generalized differentiation in Wasserstein space have been proposed in order to deal with the intrinsic nonsmoothness arising in the context of optimization pro…
math.OC2025
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…
math.OC2025
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…