dorsal/arxiv
View SchemaDirected or Undirected? A New Index to Check for Directionality of Relations in Socio-Economic Networks
| Authors | Giorgio Fagiolo |
|---|---|
| Categories | |
| ArXiv ID | physics/0612017 |
| URL | https://arxiv.org/abs/physics/0612017 |
| Journal | Economics Bulletin, 3, 34: 1-12 (Dec 2006) |
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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"abstract": "This paper proposes a simple procedure to decide whether the\nempirically-observed adjacency or weights matrix, which characterizes the graph\nunderlying a socio-economic network, is sufficiently symmetric (respectively,\nasymmetric) to justify an undirected (respectively, directed) network analysis.\nWe introduce a new index that satisfies two main properties. First, it can be\napplied to both binary or weighted graphs. Second, once suitably standardized,\nit distributes as a standard normal over all possible adjacency/weights\nmatrices. To test the index in practice, we present an application that employs\na set of well-known empirically-observed social and economic networks.",
"arxiv_id": "physics/0612017",
"authors": [
"Giorgio Fagiolo"
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"physics.soc-ph"
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"journal_ref": "Economics Bulletin, 3, 34: 1-12 (Dec 2006)",
"title": "Directed or Undirected? A New Index to Check for Directionality of Relations in Socio-Economic Networks",
"url": "https://arxiv.org/abs/physics/0612017"
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