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Conxita Pinyol and Ferran Sancho
''An elementary proof of the existence of the Leontief inverse''
( 2022, Vol. 42 No.2 )
We provide a new and simpler proof for the existence and non-negativity of the Leontief inverse that does not rely on advanced mathematics. Instead, we start from an economic condition related to the equilibrium in quantities between demand and supply and proceed using only elementary linear algebra to establish the nature of the inverse.
Keywords: Leontief inverse, viability, linear algebra
JEL: C6 - Mathematical Methods and Programming: General
D5 - General Equilibrium and Disequilibrium: General
Manuscript Received : Feb 03 2022 Manuscript Accepted : Jun 30 2022

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