  We present a simple uniqueness argument for a collection of McKean-Vlasov
problems that have seen recent interest. Our first result shows that, in the
weak feedback regime, there is global uniqueness for a very general class of
random drivers. By weak feedback we mean the case where the contagion
parameters are small enough to prevent blow-ups in solutions. Next, we
specialise to a Brownian driver and show how the same techniques can be
extended to give short-time uniqueness after blow-ups, regardless of the
feedback strength. The heart of our approach is a surprisingly simple
probabilistic comparison argument that is robust in the sense that it does not
ask for any regularity of the solutions.
