We develop a general equilibrium monopolistic competition model of trade wi
th technical heterogeneity among firms and countries. With free entry, tech
nical asymmetries between firms result in the endogenous determination of t
he equilibrium average efficiency of the industry. We show that trade reduc
es (increases) the minimum efficiency required to survive in the more (less
) efficient country. This has important welfare implications: (1) Contrary
to the constant elasticity of substitution homogeneous-firms model, trade a
ffects welfare even when there is no love of variety. (2) There are circums
tances in which trade liberalization leads to a loss of consumer welfare.