Modify the previous question. Now government spending increases household's util- ity, like public goods provision. Suppose household's instantaneous utility is repre- sented by u (Ct, Gt) and the resource constraint is = (c + G₁)¹-0 1-0 Ct = k + (18)kt - Gt - kt+1. Assume there is no population growth and technological change. Suppose that the economy is initially at its steady state with G₁ = GL> 0 for all t. (a) Solve for the steady state capital per capita and consumption per capita. (b) Suppose that the government unexpectedly and permanently changes the pol- icy from Gt G₁ to G₁ = GH > G₁. Explain the dynamic behaviors of k and = C. (c) Unlike (b), suppose the policy change is temporary (and everybody knows when the government spending goes back to G₁). Explain the dynamic behaviors of k and c.
Modify the previous question. Now government spending increases household's util- ity, like public goods provision. Suppose household's instantaneous utility is repre- sented by u (Ct, Gt) and the resource constraint is = (c + G₁)¹-0 1-0 Ct = k + (18)kt - Gt - kt+1. Assume there is no population growth and technological change. Suppose that the economy is initially at its steady state with G₁ = GL> 0 for all t. (a) Solve for the steady state capital per capita and consumption per capita. (b) Suppose that the government unexpectedly and permanently changes the pol- icy from Gt G₁ to G₁ = GH > G₁. Explain the dynamic behaviors of k and = C. (c) Unlike (b), suppose the policy change is temporary (and everybody knows when the government spending goes back to G₁). Explain the dynamic behaviors of k and c.
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.4P
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Note: Hand written solution is not accepted.
![Modify the previous question. Now government spending increases household's util-
ity, like public goods provision. Suppose household's instantaneous utility is repre-
sented by
and the resource constraint is
u (Ct, Gt) =
=
Ct =
=
(Ct + G₁)¹-0
1 - 0
: ko + (1 − 8)kt – Gt — kt+1.
Assume there is no population growth and technological change. Suppose that the
economy is initially at its steady state with Gt = GL> 0 for all t.
(a) Solve for the steady state capital per capita and consumption per capita.
(b) Suppose that the government unexpectedly and permanently changes the pol-
icy from Gt G₁ to G₁ = GH > G₁. Explain the dynamic behaviors of k and
C.
(c) Unlike (b), suppose the policy change is temporary (and everybody knows when
the government spending goes back to G₁). Explain the dynamic behaviors of
k and c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff591adf-b3d8-4968-8b2b-27eb39857429%2F545cf608-27e9-4f26-be42-30e9267a316b%2Fgs4n2os_processed.png&w=3840&q=75)
Transcribed Image Text:Modify the previous question. Now government spending increases household's util-
ity, like public goods provision. Suppose household's instantaneous utility is repre-
sented by
and the resource constraint is
u (Ct, Gt) =
=
Ct =
=
(Ct + G₁)¹-0
1 - 0
: ko + (1 − 8)kt – Gt — kt+1.
Assume there is no population growth and technological change. Suppose that the
economy is initially at its steady state with Gt = GL> 0 for all t.
(a) Solve for the steady state capital per capita and consumption per capita.
(b) Suppose that the government unexpectedly and permanently changes the pol-
icy from Gt G₁ to G₁ = GH > G₁. Explain the dynamic behaviors of k and
C.
(c) Unlike (b), suppose the policy change is temporary (and everybody knows when
the government spending goes back to G₁). Explain the dynamic behaviors of
k and c.
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