Fundamental Products and Autonomous Sets: An Algorithmic Approach

Authors

Eugenio M. Fedriani, Departamento de Econom´ıa, M´etodos Cuantitativos e Historia Econ´omica, Universidad Pablo de Olavide, Ctra, Utrera, km 1, 41013- Sevilla (Spain)Follow
?ngel F. Tenorio, Departamento de Econom´ıa, M´etodos Cuantitativos e Historia Econ´omica, Universidad Pablo de Olavide, Ctra, Utrera, km 1, 41013- Sevilla (Spain)Follow

Author Country (or Countries)

Spain

Abstract

The main goal of this paper is to analyze an economy through its symmetric input-output table by using Graph Theory. After providing a definition of the characteristic digraph for the economy, the authors give some properties and algorithms to characterize and compute the fundamental products and, later, the autonomous sets of the studied economy. Six of these algorithms are explained in detail and formulated; the best choices are also implemented with the computational package Mathematica, compared in terms of efficiency, and applied to real input-output matrices from Greece.

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090102

Recommended Citation

M. Fedriani, Eugenio and F. Tenorio, ?ngel (2023) "Fundamental Products and Autonomous Sets: An Algorithmic Approach," Applied Mathematics & Information Sciences: Vol. 09: Iss. 1, Article 9.
DOI: http://dx.doi.org/10.12785/amis/090102
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss1/9