Leontief input–output model

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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

See also

External links