This paper reviews the recent theoretical literature on heterogeneous firms and trade, which emphasizes firm selection into international markets and reallocations of resources across firms. We discuss the empirical challenges that motivated this research and its relationship to traditional...

We develop a quantitative spatial model that incorporates a rich geography of trade and imperfect labor mobility between locations. We provide general results for the existence, uniqueness and comparative statics of the equilibrium. We show how the model can be used to undertake counterfactuals...

We show that reducing the probability of a trade war promotes long-term importer-exporter relationships that ensure provision of high-quality inputs via incentive premia. Empirically, we introduce a method for distinguishing between these Japanese versus spot-market (i.e., American)...