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Unicity of biproportion

Author

Listed:
  • Louis de Mesnard

    (LEG - Laboratoire d'Economie et de Gestion - UB - Université de Bourgogne - CNRS - Centre National de la Recherche Scientifique)

Abstract

The biproportion of S on margins of M is called the intern composition law, K: (S,M) -> X = K(S,M) / X = A S B. A and B are diagonal matrices, algorithmically computed, providing the respect of margins of M. Biproportion is an empirical concept. In this paper, the author shows that any algorithm used to compute a biproportion leads to the me result. Then the concept is unique and no longer empirical. Some special properties are also indicated.

Suggested Citation

  • Louis de Mesnard, 1994. "Unicity of biproportion," Post-Print hal-00383947, HAL.
    • Handle: RePEc:hal:journl:hal-00383947
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    Citations

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    Cited by:

    1. Juan Manuel Valderas‐Jaramillo & José Manuel Rueda‐Cantuche, 2021. "The multidimensional nD‐GRAS method: Applications for the projection of multiregional input–output frameworks and valuation matrices," Papers in Regional Science, Wiley Blackwell, vol. 100(6), pages 1599-1624, December.
    2. Louis de Mesnard, 1996. "Biproportion et offre dominante. A propos de l'article d'André Torre : "Sur la signification théorique du modèle d'offre multisectoriel."," Revue Économique, Programme National Persée, vol. 47(1), pages 167-175.
    3. Uwe Blien & Friedrich Graef, 2013. "The ADETON method," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 33(2), pages 135-150, October.
    4. MESNARD, Louis de, 1999. "Interpretation of the RAS method : absorption and fabrication effects are incorrect," LATEC - Document de travail - Economie (1991-2003) 9907, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    5. Casiano A. Manrique-de-Lara-Peñate & Dolores R. Santos-Peñate, 2017. "SAM updating using multi-objective optimization techniques," Papers in Regional Science, Wiley Blackwell, vol. 96(3), pages 647-667, August.
    6. Kelli Francis-Staite, 2022. "Internal multi-portfolio rebalancing processes: Linking resource allocation models and biproportional matrix techniques to portfolio management," Papers 2201.06183, arXiv.org.

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