SEMAINE D'ÉTUDE SUR LE ROLE DE L ANALYSE ECONOMETRIQUE ETC. 
545 
Let L stand for the number of workers available in period o. 
We have assumed that throughout the whole process the real- 
wages are maintained at the voN NEUMANN level, so that the 
labour force grows at the von NEUMANN rate. The labour 
force in period ¢ is, therefore, given by (:+#°)'L. On the other 
hand, we at once find from (4) that the demand for labour in 
period € is given by 5 a, Pr x. Hence the deficiency of 
i=l Pe 
labour does not emerge when 
34) 
T- 
- 
Pu x - € 
mr CE 
Dot 
hold for all ?. 
It is obvious that x, (+. x, when ¢ =0) is historically given 
We have from (27) 
Let x* (>o) be the vector of output configuration at the ter- 
minus which is prescribed by the growth programme. A path 
%X,, %{, ..., xr) which maximizes 7 such that 
35) 
nx*=(1+)1; 
s said optimal. 
[n view of (18), we have from (34, 
36) 
7s 
91 Morishima - pag. 17