Assume the rate of technological progress is constant in a SSGM with Cobb- Douglas production function. Show that a steady-state cannot be identified if the technological progress is capital augmented, i.e.< F(K, L) = [A(t)K(t)]ªL(t)¹–ª, where A(t) is the efficiency term growing< with a constant rate g.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter9: Production Functions
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Problem 9.8P
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Assume the rate of technological progress is constant in a SSGM with Cobb-
Douglas production function. Show that a steady-state cannot be identifiede
if the technological progress is capital augmented, i.e.
F(K, L) = [A(t)K(t)]*L(t)'_ª, where A(t) is the efficiency term growinge
with a constant rate g.t
Transcribed Image Text:Assume the rate of technological progress is constant in a SSGM with Cobb- Douglas production function. Show that a steady-state cannot be identifiede if the technological progress is capital augmented, i.e. F(K, L) = [A(t)K(t)]*L(t)'_ª, where A(t) is the efficiency term growinge with a constant rate g.t
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