This paper provides a finite-sample comparison of two existing tests of moment inequalities and an improvement over one of the procedures. We show the “two-step” recentering approach of Romano, Shaikh, and Wolf [2014] rejects whenever a moment selection approach of Chernozukov, Chetverikov,...

This paper studies nonparametric identification and counter- factual 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...

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...

A variety of methodologies require demand to be injective to invert quantities to prices or utility indices. When a version of the law of demand holds, global injectivity and local injectivity are equivalent. Moreover, both can be checked by seeing whether the demand mapping is constant over any...