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Directed or Undirected? A New Index to Check for Directionality of Relations in Socio-Economic Networks

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  • Giorgio Fagiolo

    ()
    (Sant'Anna School of Advanced Studies)

Abstract

This paper proposes a simple procedure to decide whether the empirically-observed adjacency or weights matrix, which characterizes the graph underlying a socio-economic network, is sufficiently symmetric (respectively, asymmetric) to justify an undirected (respectively, directed) network analysis. We introduce a new index that satisfies two main properties. First, it can be applied to both binary or weighted graphs. Second, once suitably standardized, it distributes as a standard normal over all possible adjacency/weights matrices. To test the index in practice, we present an application that employs a set of well-known empirically-observed social and economic networks.

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File URL: http://www.accessecon.com/pubs/EB/2006/Volume3/EB-06Z10134A.pdf
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Bibliographic Info

Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 3 (2006)
Issue (Month): 34 ()
Pages: 1-12

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Handle: RePEc:ebl:ecbull:eb-06z10134

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References

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  1. Garlaschelli, Diego & Loffredo, Maria I., 2005. "Structure and evolution of the world trade network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 138-144.
  2. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
  3. D. Garlaschelli & M. I. Loffredo, 2005. "Structure and Evolution of the World Trade Network," Papers physics/0502066, arXiv.org, revised May 2005.
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Cited by:
  1. Giorgio Fagiolo & Javier Reyes & Stefano Schiavo, 2007. "On the Topological Properties of the World Trade Web: A Weighted Network Analysis," Papers 0708.4359, arXiv.org.
  2. Matteo Chinazzi & Giorgio Fagiolo & Javier A. Reyes & Stefano Schiavo, 2012. "Post-Mortem Examination of the International Financial Network," LEM Papers Series 2012/04, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  3. Giorgio Fagiolo & Tiziano Squartini & Diego Garlaschelli, 2011. "Null Models of Economic Networks: The Case of the World Trade Web," LEM Papers Series 2011/26, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  4. Giorgio Fagiolo & Javier Reyes & Stefano Schiavo, 2008. "The Evolution of the World Trade Web. A Weighted-Network Analysis. 49.ma Riunione Scientifica Annuale. Società Italiana degli Economisti," Sciences Po publications info:hdl:2441/9795, Sciences Po.
  5. Belén González Díaz & Leticia Blázquez, 2013. "International Automotive Production Networks: How the web comes together," Working Papers. Serie EC 2013-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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