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.

Imprimitivity in Decomposable Economies / Bilancini, Ennio. - In: ECONOMICS BULLETIN. - ISSN 1545-2921. - ELETTRONICO. - 3:(2008), pp. 1-10.

Imprimitivity in Decomposable Economies

BILANCINI, Ennio
2008

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.
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Imprimitivity in Decomposable Economies / Bilancini, Ennio. - In: ECONOMICS BULLETIN. - ISSN 1545-2921. - ELETTRONICO. - 3:(2008), pp. 1-10.
Bilancini, Ennio
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/609883
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