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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 as-
sumptions, 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;