We derive exact conditions relating the distributions of firm productivity, sales, output, and markups to the form of demand in monopolistic competition. Applications include a new “CREMR” demand function (Constant Revenue Elasticity of Marginal Revenue): it is necessary and sufficient for...

This paper studies nonparametric identification and counterfactual bounds for heterogeneous firms that can be ranked in terms of productivity. Our approach works when quantities and prices are latent, rendering standard approaches inapplicable. Instead, we require observation of profits or other...

We characterize the dispersion of firm-level productivity and demand shocks using Swedish microdata including prices and utilization and analyse the consequences for firms and the aggregate economy. Demand dispersion increases by more than TFPQ dispersion in recessions. Productivity shocks pass...