.
. , . -, . : , , , .
( ) , .
. : Y =F(K,L) z : zF(K,L) = F (zK, zL). z=1/L, Y/L=F(K/L,1). (Y/L) , (K/L) k (): y=f(k) (. . 11.1). (), (k).
: y= i +, i . , c=(1-s)y, s (), y=c+i=(1-s)y+i, i=sy. .
f(k)=+i f(k) = i/s. , .
( , ). : , .
, : i=sf(k). k (. 11.1): y=f(k), i=sf(k), c=(1-s)f(k).
: , d ( ), dk. , , d (. 11.2).
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Δk = i dk, , , Δk = s f(k) dk. (k) (Δk > 0) , , .. sf(k) = dk. () , (Δk = 0). , , () k*. k * .
, k , .. k *. k1 k *, (sf(k)) (dk) . k2> k*, , , , , , k* (. . 11.2).
() . s1 s2 s1f(k) s2 f(k) (. . 11.3).
k 1*, . (i1' - i1), (k1*) (dk1) . , k2*, ( , ).
, , , , . , .
, (), . , .
, , . .
: ( ) .
, . , . , , Δk=i - dk - nk Δk = i-(d+n)k.
, - , . , , . nk , , , .
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k* :
Δk=sf(k)-(d+n)k=0 sf(k)=(d+n)k.
(. 11.4).
, .. (k) () , . , , , , .. ΔY/Y=ΔL/L=ΔK/K=n
, .
, (d+n)k, (k'*), a , .
. . Y=F(K, LE), , a (LE) . , . , g. : g=2%, , , 100 , 102 . (L) , g, (LE) (n+g).
, . k ' , .. k' =K/(LE),a y' = Y/(LE) ( , ). (. 11.5) k' * , , , , , , , :
sf(k') = (d + n + g)k'.
(k'*) () (Y) (n+g). , , g (K/L) (Y/L) ; . , , , ().
, .
, . (k*) , (n+g). () .
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( , s , g), .
, " " . , . , , k**, - **.
k* : y=c+i. i , : c = y - i, c*=f(k*)-dk*, * , a i=sf(k)=dk . (k*), s, , (. 11.6).
k*<k **, , ( f(k*) , dk*), , , , . k*>k** , .. . k**, ( dk* ). , (), d ( ). , . , , " " (k**), : MPK=d ( ), : MPK=d+n+g.
, " ", . . , " ".
, k ** , . , . , " ", . " ", , , .
, . , .
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. , , . s, d, , g , . , , , .
-, , . .
(n+g), - g, .. . , , : , .
" ", .