This compelling research review discusses the major literary contributions to the economic analysis of the consequences of trade liberalization on growth, productivity, labor market outcomes and economic inequality. Examining the classical theories that stress gains from trade stemming from comparative advantage, the review also analyses more recent theories of imperfect competition, where any potential gains from trade can stem from competitive effects or the international transmission of knowledge. Empirical contributions provide evidence regarding the explanatory power of these various theories, including work on the effects of trade openness on economic growth, wages, and income inequality, as well as evidence on the effects of trade on firm productivity, entry and exit. This review will be an invaluable research resource for academics, practitioners and those drawn to this fascinating topic.