  In many sharing-economy applications, as well as in conventional economy
applications, one wishes to regulate the behaviour of an ensemble of agents
with guarantees on both the regulation of the ensemble in aggregate and the
revenue or quality of service associated with each agent. Previous work
[Automatica, Volume 108, 108483, arXiv:1807.03256 ] has developed guarantees of
unique ergodicity when there are linear filters. Here, we extend the guarantees
to systems including non-linear elements, such as non-linear filters.
