SEMAINE D'ÉTUDE SUR LE ROLE DE L ANALYSE ECONOMETRIQUE ETC. 
615 
be derived immediately from the movements of prices and quan- 
tities. In general, denoting respectively by F; and V; the sec- 
toral employments and the productions at current prices, we 
mav write: 
(III.12) E.(#) =a,,(t{,X, ' 
(IT1.13) V,(t)=X,({)P;.(#), 
1=1,2,...,(n — I),k,, k,..., BR, 
Again, by substituting from (II.11), (IL.14) or from (II.15), 
11.16), it can be seen that, under the present assumptions, each 
of the E;'s and each of the V;s (taking W as numeraire) increase 
in time at the percentage rate of growth of population (g). 
There is moreover another series of magnitudes which al- 
ways recur in a dynamic analysis and which we may consider 
immediately. I am referring to the capital-output ratios in the 
various sectors of the economy (which will be denoted by 
k;, 1=1, 2, ..., n— I); and to the over-all capital-output ratio 
‘which will be denoted by ¥). Using for simplicity the formu- 
ations (II.11), (II.14) referring to a system where capital is 
required only for the production of consumption goods, each 
sectoral capital-output ratio mav be expressed - 
TII.14, 
“1; 
3) In each sector, the capital output ratio 
Remembering that K; and +; coincide, when 
using the (IT r= rd M 1) we ht: 
ll emplo--me 
continued on following 
a fw 
to) Pasinett: - pag. 45