Further Research on Applications of Properties of Leontief Inverse Matrix and Ghosh Inverse Matrix

Abstract

Abstract:

We summarize the properties of the monetary Leontief inverse matrix, the Ghosh inverse matrix and the physical Leontief in-verse matrix, review some applications of these properties to output adjustment analysis and to price adjustment analysis, and further re-search the new applications of these properties to input multiplier in output adjustment analysis and to output multiplier in price adjust-ment analysis. The conclusions are that if the physical final output of sector is increased (decreased) and all others are not, then the in-put multiplier of sector cannot be increased (decreased), and there exists at least one sector such that its input multiplier cannot be de-creased (increased); dually, if the value-added of sector is risen (fallen) and all others are not, then the output multiplier of sector cannot be increased (decreased), and there exists at least one sector such that its output multiplier cannot be decreased (increased).

Key words: input-output analysis, Leontief inverse, Ghosh inverse, input multiplier, output multiplier

Xu Daju, Zhang Haiyan. Further Research on Applications of Properties of Leontief Inverse Matrix and Ghosh Inverse Matrix[J]. , 2018, 30(5): 101-111.

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