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

Giorgio Fagiolo ()

Economics Bulletin, 2006, vol. 3, issue 34, 1-12

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.

JEL-codes: C1 C6 (search for similar items in EconPapers)
Date: 2006-12-29
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Citations: View citations in EconPapers (28)

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