Leontief Meets Markov: Sectoral Vulnerabilities Through Circular Connectivity
| Autor: | Anna Torriero, Ariel Luis Wirkierman, Monica Bianchi |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
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Markov chain Markov chains Computer Networks and Communications Computer science · Betweenness centrality Asymmetric graph Complex network Input-output analysis Random walk Measure (mathematics) Settore SECS-S/06 - METODI MATEMATICI DELL'ECONOMIA E DELLE SCIENZE ATTUARIALI E FINANZIARIE Artificial Intelligence Graph (abstract data type) Ergodic theory Adjacency matrix Mathematical economics Software |
| ISSN: | 1566-113X |
| Popis: | Economists have been aware of the mapping between an Input-Output (I-O, hereinafter) table and the adjacency matrix of a weighted digraph for several decades (Solow, Econometrica 20(1):29–46, 1952). An I-O table may be interpreted as a network in which edges measure money flows to purchase inputs that go into production, whilst vertices represent economic industries. However, only recently the language and concepts of complex networks (Newman 2010) have been more intensively applied to the study of interindustry relations (McNerney et al. Physica A Stat Mech Appl, 392(24):6427–6441, 2013). The aim of this paper is to study sectoral vulnerabilities in I-O networks, by connecting the formal structure of a closed I-O model (Leontief, Rev Econ Stat, 19(3):109–132, 1937) to the constituent elements of an ergodic, regular Markov chain (Kemeny and Snell 1976) and its chance process specification as a random walk on a graph. We provide an economic interpretation to a local, sector-specific vulnerability index based on mean first passage times, computed by means of the Moore-Penrose inverse of the asymmetric graph Laplacian (Boley et al. Linear Algebra Appl, 435(2):224–242, 2011). Traversing from the most central to the most peripheral sector of the economy in 60 countries between 2005 and 2015, we uncover cross-country salient roles for certain industries, pervasive features of structural change and (dis)similarities between national economies, in terms of their sectoral vulnerabilities. |
| Databáze: | OpenAIRE |
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