Term
prove constant returns to scale |
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Definition
F (2K; 2L) = A(2K)^1/3 (2L)^2/3 = A* 2^(1/3)K^(1/3)*2^(2/3)L^(2/3) = 2*AK^(1/3)L^(2/3) = 2F (K; L) : |
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Term
why the constant returns to scale is important |
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Definition
allows us to model all
rms in the economy as if there was just one
rm. This is because constant returns to scale implies that we can just add all
firms up. |
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Term
write the problem that a typical
firm solves in the production model |
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Definition
Max profit (constraint by K, L) is F (K; L) - wL - rK |
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Term
firms profit maximization condition |
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Definition
produce where MPK=r and hire where MPL=w |
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Term
why it is useful to re-written the production function in per-capita terms |
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Definition
per-capita output allows for a more useful comparison of output or income across countires. The aggregate production function is not appropriate because countries with larger populations will typically have greater aggregate output. Per-capita, or average, income, however controls for population size and is therefore a better measure of economic welfare. |
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Term
1st period budget constraint |
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Definition
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