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Gale Pooley
Gale Pooley

The document summarizes the Solow growth model. It shows graphs of the capital per worker (k) and output per worker (y) relationships. It explains that the model reaches a steady state where savings (s) equals depreciation (d). Exogenous changes like increasing the savings rate can shift the steady state to a higher level of capital and output. The model includes parameters for the savings rate (s), depreciation rate (d), and population growth rate (n). Technology is later added to the production function, showing how it can increase output. Questions are raised about where technology comes from and whether poor countries can catch up.

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Economic Development Lecture 8 Growth
Questions?
Harrod-Domar Growth Model
Robert Solow Nobel Prize 1987
Solow Growth Model k Capital Per Worker y Output Per Worker y = √k S = I = s√k D = dkk y =f(k) S = I S = s√k D = dk
Add population growth n nL -nk ∆k = sy -(n+d)k
Solow Growth Model k Capital Per Worker y Output Per Worker y = f(k) sy (n +d)k
Solow Growth Model k Capital Per Worker y Output Per Worker savings > depreciation depreciation > savings savings = depreciation Steady State
Solow Growth Model steady state S = D s√k = dk .3√k = .02k k = 225
Solow Growth Model k Capital Per Worker y Output Per Worker Steady State 225 k = 225 y = S = D = C = D - S = 15 4.5 4.5 10.5 0 15 4.5 y = √k S = I = s√k S = I = .3√k D = dkD D = .02k
Solow Growth Model Increase depreciation does not change change savings rate change productivity
Solow Growth Model k Capital Per Worker y Output Per Worker Raise Savings Rate 30% 40%
Solow Growth Model income is a function of k add a productivity factor to k a y = √k y = a√k a = technology
Solow Growth Model k Capital Per Worker y Output Per Worker y = a1√k y = a2√k
Model 5 Equations 5Variables 3 fixed parameters
ModelVariables Y = Output K = Capital L = Labor S = Savings I = Investment
Model Fixed Parameters d = depreciation rate s = savings rate n = population growth rate
Wolfram Demo
How to change the production function? Make Capital or Labor more productive Technology Smarter
How to change the production function? Adapt Adopt Imitate Innovate
Adding Technology L T x L Y = F(K,T x L) K T x K Y = F(T x K, L) Y = F(TK,TL)
Problems Where does T come from? Manna from heaven
Can poor catch up? Capital Per Worker Output Per Worker Big Gain Little Gain Maybe?
New Growth Models Exogenous vs. Endogenous Increasing returns Positive externalities R&D
Exam 1 1820 Six Capitals of Innovation GNI per Capita (PPP) Growth vs. development Life Expectancy and Education HDI MDG Rule of 70s Institutions HD Solow

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