SEMAINE D'ÉTUDE SUR LE ROLE DE L ANALYSE ECONOMETRIQUE ETC. 
55 
Furthermore, we havc 
d]o 
7 ln 
because a+ b is a non-negative matrix with row sums less than 
one. This leads to dy/dF,>o. It is obvious that in the op- 
posite case where m; is negative we obtain dy/dF,<o. Taking 
into account the fact that m; may be negative only when 7 is 
oreater than a certain rate », we have Figures 2° = 77 —- 
“IGURE 
FIGURE 
Suppose that the curve gg’ intersects the 45° line on a point 
in the normal part. The intersection gives the old voN NEU- 
MANN rate of interest »° before the technological change. We 
can easily verify that the technical change of the labour-saving 
type results in increases in both y and r, if <r, and decreases 
in both y and r, if >>». The latter is a situation which would 
aot be preferable from workers’ viewpoint as well as from 
capitalists viewpoint. We may, therefore, say that a new 
method of production of the labour-saving type is not adopted 
9] 
Morishima - pag. 23