SEMAINE D'ÉTUDE SUR LE ROLE DE L’ANALYSE ECONOMETRIQUE ETC. 805 
the constant ©. This condition signifies that the value of cap- 
ital per unit of primary income is independent of the rates 
of interest and growth : and © ("). 
Of course it is again found that R, is maximum for i-p=o. 
But it will also be remarked that national income R is maxi- 
mum for :=0 whatever p. This latter is not a general finding; 
it is true only for the exponential model. The notation Ry 
represents the maximum value of R. 
It should also be observed that relation (251-12) between y, 
vc and p is independent of the model. It is based only on the 
constancy of (i - ¢) and the invariance of the function (68) over 
ime [§120 and relation (125-2)]. 
Expansions in series form as functions of à and 7 - o are done 
as previously (2) by putting 
which value corresponds to the exponential expression for 
For small values of (? - ç) we find here 
(251-18) 
T= es - 
oy 
T 
k 2 
© ({-p, 
and for the small values of ¢ 
(251-10 
R., 
h 
Se, 
§ 240. 
(!) In my Tokyo monograph (Arrais, 1960 A) I derived and made de- 
ailed comments on the different relations given above for the case n=o0 
g. 109 
11 | -Allais - pag