Imprimitivity in Decomposable Economies

Ennio Bilancini

Economics Bulletin, 2008, vol. 3, issue 69, pages 1-10

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.

Keywords: Matrix Decomposability; Matrix Imprimitivity; Production Lags; Linear Models of Production (search for similar items in EconPapers)
JEL-codes: C6 (search for similar items in EconPapers)
Date: 2008-11-02
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