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Imprimitivity in Decomposable Economies

Author

Listed:
  • Ennio Bilancini

    (University of Siena)

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.

Suggested Citation

  • Ennio Bilancini, 2008. "Imprimitivity in Decomposable Economies," Economics Bulletin, AccessEcon, vol. 3(69), pages 1-10.
    • Handle: RePEc:ebl:ecbull:eb-08c60010
    as

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    References listed on IDEAS

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    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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