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 realwages
 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 terminus
 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