SEMAINE D'ÉTUDE SUR LE ROLE DE L ANALYSE ECONOMETRIQUE ETC. 
36. 
 5SUMPTIONS 
(a)=(8 
(6) =( 
(ce; ’ 
(d)=( 
II 
/ 
€ 
for all £=0, where o<, 
F(Z, Ly=L f(T)=L f(z) for all L_-u, ZZ. 
f(z) >o0, f’(2)<o for ox.., 
(0) =o, 
for each À >0o such that o<)<f/(0) there is a z; -c 
such that f(Z))=2X2, (the subscript À of Z, is 
omitted in what follows), 
ux, >0, U"(x}\<o for o<x<o, lim u(x, 
VY ed 
A 
SOME IMPLICATIONS OF FEASIRITITS 
Given the initial stock z, of capital per worker, the attain. 
able set of growth paths (x,, z,) is now given, in terms of pei 
worker variables, bv the requirements that. for all 
(35) 
(26) 
(37) 
350) @; > 0, .4 7 0 
.35b) 2; is continuous. 
(35¢) 2; æ, are differentiable to the right, 
(35d) 2, and x, are continuous to the right, 
} 
x,+2,=f(2,) - à z2,=g(z, 
sav 
2, 
is prescribed. where 
(y ~ 
. 
The feasible set is the union of all attainable sets with o. 
41 
Koopmans - pag. 3-