“A multiagent problem with aggregation terms”
Venerdì 10 Aprile 2026, ore 12:30 - Aula 2AB40 - Antonio Marigonda (Università di Verona)
Abstract
In this talk we introduce and study an optimal control problem for multiagent systems, modeled in the Wasserstein space of probability measure, where the cost function fosters the aggregation of the agents, by mean of a suitable reformulation of the classical notion of “multiplicity” used in branched optimal transport, adapted to a dynamical setting with nonholonomic constraints. A Lagrangian approach is used to carry the analysis. The main motivation for this study is related to supply chains design. The results proved encompass existence of minimizing cost network in a wide class of cases, and an analysis of the value function associated to the problem.
