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Why the Lens Condition Cannot Imply Factor Price Equalization
Author(s) -
Qi Ling
Publication year - 2010
Publication title -
review of international economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.513
H-Index - 58
eISSN - 1467-9396
pISSN - 0965-7576
DOI - 10.1111/j.1467-9396.2010.00903.x
Subject(s) - clearance , rank (graph theory) , economics , matrix (chemical analysis) , equivalence (formal languages) , regular polygon , equalization (audio) , lens (geology) , mathematics , combinatorics , geometry , statistics , physics , optics , medicine , materials science , decoding methods , discrete mathematics , composite material , urology
This paper explains why the lens condition cannot imply the factor price equalization condition when the rank of the factor use matrix is larger than two, but smaller than the number of goods. This arises from production substitution and the degeneration of the convex polyhedrons consisting of the possible output vectors of a country where the factor market is cleared. Two kinds of necessary and sufficient conditions for the factor price equalization condition are given. As a byproduct, a simple proof is given on equivalence between the lens condition and the factor price equalization condition in the case where the rank of the factor use matrix is two.