A generalization of the Samuelson reciprocity relation, the Stolper-Samuelson theorem and the Rybczynski theorem under variable returns to scale

Abstract

Assuming the Marshallian externalities, a generalization of the Samuelson reciprocity relation, the Stolper–Samuelson theorem and its dual Rybczynski theorem is demonstrated with n commodities and n inputs. Further it is shown that the ‘weak’ Stolper–Samuelson property does not coincide with the ‘strong’ property even when n=2. Then the effect of an own or other commodity price change on a commodity output is examined.