We survey the new Ricardian models of bilateral trade, which are seen as tractable structure for multi-country trade models addressing either cost or demand linkages to trade. Cost-based Ricardian models advance new forms of comparative advantages that are irrespective of autarky price and, in some cases, even of opportunity cost. A less noticed feature is their reliance in demand function that does not disturb cost-based prices. Demand-based Ricardian models hinge especially on non-homothetic preferences for asymmetric goods and the supply-side ordering of goods mirrors the demand-side ordering. We also critically discuss extensions of these latter competitive models to trade in quality. We further seek to identify all these models vis-à-vis the Ricardo–Haberler–Deardorff tradition.
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