  In this article we study the stochastic block model also known as the
multi-type random networks (MRNs). For the stochastic block model or the MRNs
we define the empirical group measure, empirical cooperative measure and the
empirical locality measure. We derive large deviation principles for the
empirical measures in the weak topology. These results will form the basis of
understanding asymptotics of the evolutionary and co-evolutionary processes on
the stochastic block model.
