The Solow Model is the principal model for understand
long run growth and cross-country income differences.
Capital
something which (i) must itself be produced, (il) helps you produce output, and (i) does not get fully used up in the production process.
endowment feature of labor input
how many hours you worked in the past doesn’t influence how many hours you can work in the future
Capital is different to the endowment feature of labor input in that
how much capital vou had in the past influences how much capital you’ll have in the future
stock feature of capital
how much you had in the past influences how much capital you have in the present and future.
Furthermore, you can accumulate capital - you can go to Home Depot and buy another mower if you want to increase your future productive capacity
Explain this equation
The bigger is A,
the more Yt you get for given amounts of Kt and Nt - ie. you are more efficient at turning inputs into output.
The function F() is assumed to have the following properties:
Positive marginal products (more input → more output)
Diminishing marginal products (extra units help, but less and less)
Capital and labor are complements (they boost each other)
Constant returns to scale (scale inputs up → output scales proportionally)
Both inputs are necessary (you need some of each to produce)
The “engine” of the Solow model is:
(1) production, (2) saving/investment behavior, and (3) capital accumulation
The basic Solow model is reduced to equations describing:
Production/scarcity
Capital accumulation
Economic behavior
Equations of Model (the core 4 equations)
Which are the endogenous and exogenous variables?
Production Function F(K,N) Assumptions
Positive marginal products (more input → more output)
Production Function F(K,N) Assumptions
Diminishing marginal products (extra units help, but less and less)
Production Function F(K,N) Assumptions
Capital and labor are complements (they boost each other)
Production Function F(K,N) Assumptions
Constant returns to scale (scale inputs up → output scales proportionally)
Production Function F(K,N) Assumptions
Both inputs are necessary (you need some of each to produce)