886 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 2K 
umptions would no longer be acceptable if the population 
declined to a point where sectors experiencing increasing re- 
turns became dominant (1). 
The General Case 
421. These results are completely independent of the hypo- 
theses concerning the function 3(8) providing that the assump- 
tion be made that y is constant, at least as a first approxima- 
tion. 
In fact, it has been shown that for any quasi-stationary 
process with steady growth. we have 
(421-1) I dR 1 dc. 
4 RU C7 
& 
so that from relation (110-1) We have 
(421-2) 
Ra=(1-0oy)R 
whence for k=1 and at least as a first approximation (*) 
(421-3) 
R =(1 —0 Y)R 
!) ALLAIS (1963): Some Analytic and Applied Aspects of the Theory 
capital. 
(*) Relations (123-2) and (132-2) 
(3) Relation (229-2). 
:1] Allais - pag. 190