Directed or Undirected? A New Index to Check for Directionality of Relations in Socio-Economic Networks
AbstractThis 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by AccessEcon in its journal Economics Bulletin.
Volume (Year): 3 (2006)
Issue (Month): 34 ()
Contact details of provider:
Find related papers by JEL classification:
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
- C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- D. Garlaschelli & M. I. Loffredo, 2005. "Structure and Evolution of the World Trade Network," Papers physics/0502066, arXiv.org, revised May 2005.
- Giorgio Fagiolo & Javier Reyes & Stefano Schiavo, 2007.
"On the Topological Properties of the World Trade Web: A Weighted Network Analysis,"
- Fagiolo, Giorgio & Reyes, Javier & Schiavo, Stefano, 2008. "On the topological properties of the world trade web: A weighted network analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3868-3873.
- 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.
- Chinazzi, Matteo & Fagiolo, Giorgio & Reyes, Javier A. & Schiavo, Stefano, 2013. "Post-mortem examination of the international financial network," Journal of Economic Dynamics and Control, Elsevier, vol. 37(8), pages 1692-1713.
- Matteo Chinazzi & Giorgio Fagiolo & Javier A. Reyes & Stefano Schiavo, 2012. "Post-Mortem Examination of the International Financial Network," Department of Economics Working Papers 1202, Department of Economics, University of Trento, Italia.
- 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.
- Giorgio Fagiolo & Tiziano Squartini & Diego Garlaschelli, 2013. "Null models of economic networks: the case of the world trade web," Journal of Economic Interaction and Coordination, Springer, vol. 8(1), pages 75-107, April.
- Giorgio Fagiolo & Tiziano Squartini & Diego Garlaschelli, 2011. "Null Models of Economic Networks: The Case of the World Trade Web," Papers 1112.2895, arXiv.org, revised Sep 2012.
- 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.
- 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).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (John P. Conley).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.