Soft Control of Self-organized Locally Interacting Brownian Planar Agents

This contribution is addressed to the dynamics of heterogeneous interacting agents evolving on the plane. Heterogeneity is due to the presence of an unfiltered externally controllable fellow, a shill, which via mutual interactions ultimately drives (i.e. soft controls) the whole society towards a given goal. We are able to calculate relevant dynamic characteristics of this controllable agent. This opens the possibility to optimize the soft controlling of a whole society by infiltrating it with a properly designed shill. Numerical results fully corroborate our theoretical findings.