About the size of the measurement units in a Leontief system and its consequences
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Universidade de Santiago de Compostela
info
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.