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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.

Suggested Citation

  • Xosé Luis Quiñoa López, 2011. "Topologías en espacios de matrices y sistemas Leontief y Leontief-Sraffa," Working Papers quino_01-2011, Department of Applied Economics at Universitat Autonoma of Barcelona.
  • Handle: RePEc:uab:wprdea:quino_01-2011

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    More about this item


    Homogeneización; Sistema; Leontief-Sraffa; Excedente; Capital; Trabajo;

    JEL classification:

    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis
    • R15 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Econometric and Input-Output Models; Other Methods

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