Difference between revisions of "Input-Output Matrix"
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== Definition == | == Definition == | ||
| − | '''Industry Transaction Matrix''' is the fundamental quantitative information used in | + | The '''Industry Transaction Matrix''' (o Transactions Table) is the fundamental quantitative information used in [[Input-Output Analysis]]. It concerns the flow of products from each industrial sector (considered as a producer) to each of the sectors, itself and others (considered as consumers). |
== Usage == | == Usage == | ||
This basic information from which an input–output model is developed is contained in an interindustry transactions table. The rows of such a table describe the distribution of a producer’s output throughout the economy. The columns describe the composition of inputs required by a particular industry to produce its output. | This basic information from which an input–output model is developed is contained in an interindustry transactions table. The rows of such a table describe the distribution of a producer’s output throughout the economy. The columns describe the composition of inputs required by a particular industry to produce its output. | ||
| − | The Matrix is of | + | The Matrix is of fundamental importance and may underpin alternative possible [[Input-Output Model | input-output models]]. |
== Formula == | == Formula == | ||
| − | * Usually denoted as Z | + | * Usually denoted as Z, if there are n sectors in an economy the matrix reads: |
| + | |||
| + | :<math> | ||
| + | \begin{equation} | ||
| + | Z = | ||
| + | \begin{pmatrix} | ||
| + | Z_{11} & Z_{12} & \cdots & Z_{1n} \\ | ||
| + | Z_{21} & Z_{22} & \cdots & Z_{2n} \\ | ||
| + | \vdots & \vdots & \ddots & \vdots \\ | ||
| + | Z_{n1} & Z_{n2} & \cdots & Z_{nn} | ||
| + | \end{pmatrix} | ||
| + | \end{equation} | ||
| + | </math> | ||
== References == | == References == | ||
Revision as of 11:43, 2 March 2022
Contents
Definition
The Industry Transaction Matrix (o Transactions Table) is the fundamental quantitative information used in Input-Output Analysis. It concerns the flow of products from each industrial sector (considered as a producer) to each of the sectors, itself and others (considered as consumers).
Usage
This basic information from which an input–output model is developed is contained in an interindustry transactions table. The rows of such a table describe the distribution of a producer’s output throughout the economy. The columns describe the composition of inputs required by a particular industry to produce its output.
The Matrix is of fundamental importance and may underpin alternative possible input-output models.
Formula
- Usually denoted as Z, if there are n sectors in an economy the matrix reads:
- Failed to parse (unknown function "\begin"): \begin{equation} Z = \begin{pmatrix} Z_{11} & Z_{12} & \cdots & Z_{1n} \\ Z_{21} & Z_{22} & \cdots & Z_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ Z_{n1} & Z_{n2} & \cdots & Z_{nn} \end{pmatrix} \end{equation}
