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Topologías en espacios de matrices y sistemas Leontief y Leontief-Sraffa

  • Xosé Luis Quiñoa López

    ()

    (Departamento de Economia Cuantitativa)

Se demuestra que todo sistema tipo Leontief (o Leontief-Sraffa) puede ser transformado en uno estructuralmente equivalente en el que la matriz tecnológica A tenga la propiedad de que la suma de los elementos de cada columna sea el autovalor máximo a de A; lo que equivale a transformar las unidades físicas originales en unidades que (haciendo abstracción de la componente trabajo) tengan idéntica composición de capital. A un tal sistema transformado lo denominaremos homogeneizado. En este tipo de sistemas aparecen más cómodos los estudios del sistema de precios de Sraffa, la limitación del tipo de beneficio, el reparto del excedente, la interpretación económica de 1/(I – A), la interpretación de los precios utilizando el teorema del punto fijo, la evolución de los precios al variar el tipo de beneficio, etc. Se demuestra que en un sistema homogeneizado “idéntica composición orgánica de capital” (Marx) equivale a idéntica cantidad de trabajo directo.

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File URL: http://www.ecap.uab.es/RePEc/doc/Quino_01-2011.pdf
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Paper provided by Department of Applied Economics at Universitat Autonoma of Barcelona in its series Working Papers with number quino_01-2011.

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Length: 62 pages
Date of creation: Jan 2011
Date of revision:
Handle: RePEc:uab:wprdea:quino_01-2011
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