Before revision:  As an application, we show that every additive divergence  is an integral of Renyi divergences.
After revision:  We apply our analysis to the problem of measuring the degree of dissimilarity between distributions by means of divergences. A useful property of Renyi divergences is their additivity with respect to product distributions. Our characterization of Blackwell dominance in large samples implies that every additive divergence is an integral of Renyi divergences.