616
PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28
and the over-all capital output ratio as (*)
(111.15) xl) =- ‘
Sain(t) anid +( gm ) Dazn(t) Appt
Sa,
n(f) Amp
Âs can be seen, the components of (III.14) and (I11.15)
are nothing but coefficients. And since, under the present assumptions,
all coefficients are constant through time, it follows
that each sectoral capital-output ratio and also the overall
capital-output ratio remain all constant as time goes on.
When the more complex formulations (II.15) and (II.16) are used, the
result js
XY.
a.
î
Ann;
+ [ ns ! Ve
T 21k
(*) The over-all capital output ratio is, in our notations.
Tn
X =< TT
> my ki <x k;
Taking the (II.x1) and (II.14) and again remembering that K, and X,
coincide when full employment is kept, we obtain
—
2, +
B I
Dain Jan + (n+ T
‘ Corn
Vv
ss Ain aun; Ww x,
>a, a
Zip Uni + | T-: — .
When the more complex formulation:
result is
Un a
;Io]
Pasinetti - pag. 46
|: a
r—in Ÿ
11.16) are used, the
Sag, Uk;