Factor endowment--commodity output relationships in a three-factor two-good general equilibrium trade model: Further analysis
Abstract
The position of the EWS (economy-wide substitution)-ratio vector determines the Rybczynski sign pattern, which expresses the factor endowment--commodity output relationships, and the Stolper-Samuelson sign pattern, which expresses the commodity price--factor price relationships in a three-factor two-good general equilibrium trade model (see Nakada (2016a)). In this article, we show that the EWS-ratio vector exists on the line segment. Using this relationship, we develop a method to estimate the position of the EWS-ratio vector. We derive a sufficient condition for extreme factors to be economy-wide complements, which implies "a strong Rybczynski result." Additionally, we derive a sufficient condition for a specific Stolper-Samuelson sign pattern to hold. We assume factor-intensity ranking is constant. This article provides a basis for further applications.
Cite
@article{arxiv.1805.06129,
title = {Factor endowment--commodity output relationships in a three-factor two-good general equilibrium trade model: Further analysis},
author = {Yoshiaki Nakada},
journal= {arXiv preprint arXiv:1805.06129},
year = {2018}
}
Comments
24 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1711.11429, arXiv:1711.10096