ed Flashcards
Harrod Domar Growth Model\nProduction Function
Production function with fixed coefficients\nLeontief Isoquants (L–shaped) thus, no substitution between capital and labor. \nProduction function Y = k/v \nv= constant in this model (ICOR) Incremental capital output ratio, measures the productivity of and additional k (more productive = lower v)
Harrod Domar Growth Model – Basic growth relationship
s/v – d = g \ns = savings rate \nv = constant (k/Y) \nd = depreciation \ng = growth rate\n\n(change in K = sY – dk)\n\nThus if you save more, and make more productive investments, your economy will grow
Strengths of the Harrod Domar Growth Model
1) relatively simple\n2) over short periods of time, in the absence of large economic shocks, it predicts growth rates well
Weaknesses of the Harrod Domar Growth Model
1) the Knife edge problem \n2) no substitution allowed between K and L in the production function \n3) no room for technological progress
Knife edge problem
If v=k/Y is constant, and K is doubled, Y must double. Then because there is no substitution between K and L, L must also double for Y to double. L doubles at the rate of growth of the population, and for L to double, this rate of population growth (n) must increase the same as the rate of growth of K, n= s/v – d AND THERE IS NO ECONOMIC REASON for K and L to grow at the same rate. (if k and l do not grow at the same rate, then neither one will be fully employed)
Solow (Neoclassical) Growth Model
allows for substitution between k and L in the production process–––> therefore it is more appropriate for LDC’s since it allows for growth with use of abundant resource – labor.
Solow (Neoclassical) Growth Model production function
expressed in per worker terms \nY/L = f(K/L, 1) y = f (k)\nexhibits diminishing returns \n\nchange in k = sy – (n+d)k \n\nsy >(n+d)k; change in k >0 = capital deepening \n\nsy= (n+d)k; change in k =0, capital widening
Steady State in Solow
Where sy = (n+d)k –––> change in k=0 \n\nthe long run equilibrium \n\nto the right of steady state, sy0\nto the left sy>(n+d)k; ^k<0
Advantages of the Solow growth Model
1) allows for substitution between K and L (more appropriate for LDC’s)\n2) Diminishing Returns–– production function is more realistic \n3) role for population growth
Solow implications at steady state
change in k = 0, y is a constant, BUT y = Y/L and Y is growing at n \nImplies developing countries are expected to grow faster than developed countries and to catch up to the same steady state A…
In the Solow model, if there are increases in the savings rate, the capital stock per worker
increases
if the rate of population growth increases
there is a lower level of income and capital stock per worker
Adding Technology to Solow
^k = sy – (n+d+T)k \n(per effective worker)\n\ny = Y/L ––> Y is growing at the rate of T
Engel’s Law
As income increases, the proportion of the budget spent on food decreases ––> demand for agricultural products does not rise as fast as the demand for industrial products
As per capita income increases, the share industry (wages and output) of GNP ___ because…
__Increases__ \nas development increases, productivity increase; one farmer produces enough for 70–80 people, the rest of the labor is free to find employment in industry