  Ties between individuals on a social network can represent different
dimensions of interactions, and the spreading of information and innovations on
these networks could potentially be driven by some dimensions more than by
others. In this paper we investigate this issue by studying the diffusion of
microfinance within rural India villages and accounting for the whole
multilayer structure of the underlying social networks. We define a new measure
of node centrality, diffusion versatility, and show that this is a better
predictor of microfinance participation rate than previously introduced
measures defined on aggregated single-layer social networks. Moreover, we
untangle the role played by each social dimension and find that the most
prominent role is played by the nodes that are central on layers concerned with
trust, shedding new light on the key triggers of the diffusion of microfinance.
