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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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    1. Defourny, Jacques & Thorbecke, Erik, 1984. "Structural Path Analysis and Multiplier Decomposition within a Social Accounting Matrix Framework," Economic Journal, Royal Economic Society, vol. 94(373), pages 111-136, March.
    2. J. v. Neumann, 1945. "A Model of General Economic Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 13(1), pages 1-9.
    3. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676.
    4. Kurz,Heinz D. & Salvadori,Neri, 1995. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521443258.
    5. Sonis, Michael & Hewings, Geoffrey J. D. & Guo, Jiemin & Hulu, Edison, 1997. "Interpreting spatial economic structure: Feedback loops in the Indonesian interregional economy, 1980, 1985," Regional Science and Urban Economics, Elsevier, vol. 27(3), pages 325-342, June.
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    JEL classification:

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

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