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Anderson Armington Assumption assume barriers to trade bilateral trade flows bilateral trade patterns Cobb-Douglas preferences countries trade demand derive the gravity Determinants of Bilateral distance from suppliers domestic elasticity of substitution empirical success expected values exporter produces exports from country factor endowments factor proportions frictionless gravity equation full subscription functional form gopher at nber.harvard.edu H-O model Helpman impeded trade importer consumes inside the back instructions inside international trade intra-industry trade j's relative distance Krugman Levinsohn list of NBER Massachusetts Avenue MasterCard monopolistic competition model NBER Working Papers Neoclassical World nomothetic preferences pair of countries Papers and Reprints Partial Subscription perfectly competitive positive transport costs producers and consumers product differentiation Ricardian model simple frictionless gravity simple gravity equation single area specialization standard gravity equation theoretical trade impediments trade theories transactions transport factor value of exports volume of trade world averages world income world output Yacine Alt-Sahalia zero