Models Flashcards
Malthusian Model
Any increase in TFP will cause a temporary increase in income per capita, but the population will grow or fall until income per capita reaches the steady state.
Cases Supporting Malthusian Model
The Black Death - Western Europe
The Great Potato Famine in Ireland
Cases Opposing Malthusian Model
The Black Death - Eastern Europe
The conquest of Mexico
Antonine plague in the Rome Empire
Domar Model
Solow Model
Assumed that a fraction s of income is saved. In the simplest model Aj and Hj are fixed and savings adds
to the stock of physical capital which can now change over time.
Solow Model Production Model
Yt = AKt^α (HL)1−α
Yt (Solow)
output
A (Solow)
Total Factor Productivity (TFP)
K (Solow)
capital
α (Solow)
the share of capital in output
Law of Motion of Capital (Solow)
Kt+1 = sYt + (1 − δ)Kt
Increases income per Capita (Solow)
Higher savings rate, TFP, and effective labor
Decreases income per Capita (Solow)
Higher rate of depreciation
Savings and Property Rights Budget Constraint
C0 = I − S and C1 = (1 + r )S
Production Function
Yj = AjKj^ α(HjLj)^1-α