  In this article, we propose a new unifying framework for the investigation of
multi-agent control problems in the mean-field setting. Our approach is based
on a new definition of differential inclusions for continuity equations
formulated in the Wasserstein spaces of optimal transport. The latter allows to
extend several known results of the classical theory of differential
inclusions, and to prove an exact correspondence between solutions of
differential inclusions and control systems. We show its appropriateness on an
example of leader-follower evacuation problem.
