Growth in total factor productivity and links among firms

In this paper we study the relevance of links among firms in explaining the mean and the auto-correlation property of the aggregate total factor productivity rate of growth (Solow residual). Our approach relies on the interaction between idiosyncratic shocks of firms and the network structure of firms. We analytically study this phenomenon using the adjacency matrix of a complete network and we present a simulation with more general random adjacency matrices. We also check empirically, using Italian data, the relationship between the network structure and the Solow residual. In particular, in the empirical part, we find two main results: firstly, the relationship between the Solow residual and the measure of connectivity of firms is positive, in accordance with the analytical results. Secondly, we find that the measure of connectivity is pro-cyclical with the annual growth rate of industrial production.