About the size of the measurement units in a Leontief system and its consequences

  1. Xosé Luis Quiñoá López 1
  1. 1 Universidade de Santiago de Compostela
    info

    Universidade de Santiago de Compostela

    Santiago de Compostela, España

    ROR https://ror.org/030eybx10

Journal:
Documentos de Traballo. Análise Económica

ISSN: 1138-0713

Year of publication: 2013

Issue: 52

Pages: 1-35

Type: Working paper

More publications in: Documentos de Traballo. Análise Económica

Abstract

Beginning from the economic meaning of indecomposability in an Leontief-type system and then modifying the size of the measure units of the different goods through consecutive approximations, the original system is turned into another, structurally equivalent, one whose technological matrix A is such that each column sum is equal to the maximum eigenvalue of the original matrix that admits 1 = (1,...,1) as left positive eigenvector, from where we deduce the main Perron-Frobenius theorem.