Leontief input–output model

The Leontief input–output model is a long-run economic growth model.

Variables in the model

Below, ${\mathcal{M}}_{m,n}(S)$ denotes an m by n (m rows and n columns) matrix with elements taken from the set S.

Name	Variable	Unit	Set of possible values	Rival input?	Variable type	Notes
Number of sectors	n		$\mathbf{N}$
	A		${\mathcal{M}}_{n,n}(\mathbf{R})$
	d		${\mathcal{M}}_{n,1}(\mathbf{R})$
	x		${\mathcal{M}}_{n,1}(\mathbf{R})$
	I		$\{I\}$ where $I\in {\mathcal{M}}_{n,n}(\mathbf{R})$

Mathematical formalism

$x=Ax+d$

External links

• Input–output model (Wikipedia)