The Non-Substitution Theorem: Multiple Primary Factors and the Cost Function Approach.

The non- ub titution theorem a ert that the choice of technique i independent of pattern of final demand when efficiency prevail a to the u e of a ingle primary factor, say labor, while the a erted con tancy of theinput-output table no longer hold when more than one kind of primary factor i involved. No definite an wer ha yet been given a to whether the commodity price vector i determined independently of final demand pattern when there are multiple primary factor of production. hi paper how that the "unit co t = price" relation uniquely determine the commodity price relatively to a given factor price vector. he proof of uch a commdity price i provided by the u e of ar ki' fixed point theorem without recour e to topology.