# Full text: Study week on the econometric approach to development planning

```284
PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28
T*-1
(81) LUss_,(~0) = est (g(2+n) —g9(2))dt >— u,y n° 57* (es(T*-D_ goT) =
— 94! 2 ——4 96T*
> u yn Ge
For T* - 1=<¢<T*, x varies and must be boxed in.
0 ee, OCNÉN,, We have from (70 b), (38),
If
x*=min {g(t -¢), g3+n)-e x, <t+e +n = a
where €, 7, are chosen small enough to make #*>0. Then,
because # (x) decreases with x,
“=max uw @*), uo J=u' (x) > #(@*)=u">0 for T* - 1=<¢t<T.
We therefore have from (79 b), (80),
352)
+ Us (—5) = fe u (x?) (g(et) — 9) — 2#) dt >
T+_1
> —U' y n° e0T* Lu” - (a —3) eo TT
Pulling together these inequalities we have, for any T**=T*
from (79 c), (77), (78), (81), (82), since w'=u’ >i,
Wop (<6) > |—u' (yn? (1 +671) + 2:) +u'(n—e) e-s|eo1* = A esT* , say.
[4] Koopmans - pag. 60
```

## Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.