What determines the distribution of establishments in terms of size and life-cycle growth? How are those determinants related to aggregate productivity? We provide novel answers by developing a framework that uses price and quantity information on establishments’ outputs and inputs to jointly estimate the demand and production parameters, and subsequently, establishments’ quality-adjusted productivity, deriving both micro-level and aggregate implications. We find that the dominant source of variation in establishment size is variation in quality/product appeal but that variation in technical efficiency plays an important supporting role. Multiple factors dampen dispersion in establishment size including dispersion in input (quality-adjusted) prices, markups, and residual wedges. Relatively moderate dampening factors induce large aggregate allocative efficiency losses relative to their absence. We show that joint estimation of the parameters of the demand and production function crucially affects inferences on the determinants of the size distribution of firms and their implications for aggregate productivity.

Most of the rise in overall earnings inequality from 1996 to 2018 is accounted for by rising between-industry dispersion. The contribution of industries is right-skewed with the top 10 percent of four-digit NAICS industries dominating. The top 10 percent are clustered in high-paying high-tech and low-paying retail sectors. In the top industries, high-wage workers are increasingly sorted to high-wage industries with rising industry premia. In the bottom industries, low-wage workers are increasingly sorted into lowwage industries, with rising employment and falling industry wage premia.