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| Ennio Bilancini |
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| ''Imprimitivity in Decomposable Economies'' |
| ( 2008, Vol. 3 No.69 ) |
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| 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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| Keywords: |
JEL: C6 - Mathematical Methods and Programming: General
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| Manuscript Received : Aug 21 2008 | | Manuscript Accepted : Nov 02 2008 |
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