%V 3
%T Imprimitivity in Decomposable Economies
%P 1-10
%J Economics Bulletin
%L eprints3890
%D 2008
%X 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.
%A Ennio Bilancini