Imprimitivity in Decomposable Economies

Bilancini, Ennio Imprimitivity in Decomposable Economies. Economics Bulletin, 3. pp. 1-10. ISSN 1545-2921 (2008)

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Abstract

This note extends the analysis of imprimitive indecomosable economies (e.g. Nikaido, 1968, 1970) to the case of economies represented by a decomposable matrix. Using graph theory we show that imprimitivity leads to cyclical production lags also in decomposable economies, although in such a case the property must not be referred to the matrix representing the economy but to its indecomposable sub-matrices along the block-diagonal. The structure of the overall flow of commodities depends on both the number of imprimitive sub-matrices and their imprimitivity index.

Item Type:	Article
Subjects:	H Social Sciences > HB Economic Theory
Research Area:	Economics and Institutional Change
Depositing User:	Caterina Tangheroni
Date Deposited:	24 Jan 2018 12:34
Last Modified:	24 Jan 2018 12:34
URI:	http://eprints.imtlucca.it/id/eprint/3890

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