Kapitel 3

◮
◮ AN A :
N
Y = F (K, AN)
y = Y
K
= F , 1 = f(k)
AN AN
k ≡ K
AN
◮ A gA N : gN

◮ k
˙k = AN ˙K − K(N ˙
A + A ˙N)
=
˙K
AN
− K
AN
(AN) 2
A˙
˙N
+
A N
= sF (K, AN) − δK
− (gN + gA)k
AN
= sf(k) − (gN + gA + δ)k
◮ ˙k = 0
✞
sf(k ∗ ) = (gN + gA + δ)k
✝
☎
✆

◮ K = ANk ˙ k = 0
gK = gN + gA
◮ AN F (K, AN)
˙k = 0
g (AN) = gA + gN
Y = ANf(k)
⇒ gY = gA + gN + gy
=0

◮ gA
ˆy = Ay
gˆy = gA
◮
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◮
◮
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◮

◮
A
◮
y ≡ Y
N
Y = AK
= Ak, k ≡ K
N
◮
→

◮
=
˙K = sY − δK
˙k = sy − δk = sAk − δk
◮
˙k sy
= − δ
✞
k k
☎
gk = sA − δ
✝
✆
◮
sA = δ

◮ y = Ak
gy = gA + gk
◮ gA = 0 y
gy = gk = sA − δ
◮
sA > δ

g k > 0 für alle k
sA
δ
k

◮
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◮ A

◮ A, s, δ
y
◮
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◮
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Y = (AN) 1−a K a , 0 < a < 1
◮ K N A Y
K, N A Y

◮
Y = ANY
NY
◮
˙
A = NAA φ
NA
φ
◮ φ > 0
φ < 0

◮
◮
N
y = ANY /N
⇔ log y = log A + log(NY /N)
⇒ gy = gA + g (NY /N)
◮ NY /N
gy = gA

◮
gA = ˙ A NA
=
A A1−φ ◮ A y gA =
◮ gN
gN
◮ gA
˙gA
gA
= gN − (1 − φ)gA

◮ ˙gA = 0
◮
gN − (1 − φ)gA = 0
✞ ☎
⇔ g
✝ ✆
∗ gN
A = 1−φ
◮ φ
◮ gN
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→
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◮ → AK

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◮ → AK

◮
◮ H
Y = K α (AH) 1−α
N
E
◮
h ≡ H/N
ln y = α ln k + (1 − α) ln h + (1 − α) ln A

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