Harrod–Domar model: Difference between revisions

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==Variables in the model==
==Variables in the model==
{| class="sortable wikitable"
! Name !! Variable !! Unit !! Rival input? !! Variable type !! Notes
|-
| Output || ''Y'' || Units of GDP (dollar?) || – || Endogenous ||
|-
| Physical capital (capital stock) || ''K'' || || Yes || Endogenous || Physical capital includes things like machines, computers, buildings, etc.
|-
| Labor || ''L'' || || Yes || Exogenous ||
|-
| Technology (knowledge) || ''A'', ''T'' || || No || Exogenous ||
|-
| Consumption || ''C'' || ||
|-
| Investment || ''I'' || ||
|-
| Amount saved || ''S'' || ||
|-
| Growth of ''X'' || <math>g_X = \dot{X}/X = \frac{\frac{\partial X}{\partial t}}{X}</math> || <math>\text{Time}^{-1}</math> || ||
|-
| Population growth || <math>n = \dot L / L</math> || <math>\text{Time}^{-1}</math> || ||
|-
| Depreciation (rate?) || ''&delta;'', ''d'', ''D'' || Unitless ||
|-
| Capital per worker || ''k'' = ''K''/''L'' || || || Endogenous ||
|-
| Fraction saved || ''s'' || Unitless ||
|-
| Output per worker || ''y'' = ''Y''/''L'' || || || Endogenous ||
|-
| Time || ''t'' || Time, e.g. years ||
|-
| Production function || ''F'' || || ||
|-
| Elasticity of output with respect to capital || ''&alpha;'' || Unitless ||
|}


==Mathematical formalism==
==Mathematical formalism==

Revision as of 04:28, 16 September 2017

The Harrod–Domar model is a long-run economic growth model.

Model assumptions

Variables in the model

Name Variable Unit Rival input? Variable type Notes
Output Y Units of GDP (dollar?) Endogenous
Physical capital (capital stock) K Yes Endogenous Physical capital includes things like machines, computers, buildings, etc.
Labor L Yes Exogenous
Technology (knowledge) A, T No Exogenous
Consumption C
Investment I
Amount saved S
Growth of X
Population growth
Depreciation (rate?) δ, d, D Unitless
Capital per worker k = K/L Endogenous
Fraction saved s Unitless
Output per worker y = Y/L Endogenous
Time t Time, e.g. years
Production function F
Elasticity of output with respect to capital α Unitless

Mathematical formalism

History

Commentary

Easterly in The Elusive Quest for Growth criticizes this model.

See also

External links

References