@article{eprints3890, pages = {1--10}, author = {Ennio Bilancini}, volume = {3}, journal = {Economics Bulletin}, year = {2008}, title = {Imprimitivity in Decomposable Economies}, url = {http://eprints.imtlucca.it/3890/}, 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.} }