Negatives in symmetric input-output tables: The impossible quest for the holy grail

Abstract : In the Supply-Use (or Make-Use) input-output model, “product-technology” (PT) or “fixed-industry-sales-structure” (FISS) assumptions are more widely adopted (SNA, Eurostat) for deriving symmetric input-output tables (SIOT) than “industry-technology” or “fixed-product-sales-structure” assumptions, but generate negatives in the SIOT. A SIOT deduced from the Supply-Use model is considered as satisfactory as soon as it contains no more negatives: scholars have focused on the negatives in the SIOT and on how to remove them. However, as a SIOT may include no negatives even if there are some negatives in the inverse Supply matrix, we have completely reversed the reasoning. A counter-example demonstrates that computing the inverse Supply matrix, as imposed by PT or FISS assumptions, is mathematically a nonsense operation even when the SIOT does not include any negative; this result is new. Hence, deriving a SIOT under PT or FISS assumptions must be rejected. Three applications are provided: Austria 2000 and 2005 and USA 2007.
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Contributor : Louis de Mesnard <>
Submitted on : Tuesday, September 22, 2009 - 6:42:17 AM
Last modification on : Friday, June 8, 2018 - 2:50:08 PM

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Louis de Mesnard. Negatives in symmetric input-output tables: The impossible quest for the holy grail. Annals of Regional Science, Springer Verlag (Germany), 2009, pp.Forthcoming. ⟨10.1007/s00168-009-0332-5⟩. ⟨hal-00418857⟩

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