Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade
AbstractWe exploit the symmetry concepts developed in the companion review of this article to introduce a stochastic version of link reversal symmetry, which leads to an improved understanding of the reciprocity of directed networks. We apply our formalism to the international trade network and show that a strong embedding in economic space determines particular symmetries of the network, while the observed evolution of reciprocity is consistent with a symmetry breaking taking place in production space. Our results show that networks can be strongly affected by symmetry-breaking phenomena occurring in embedding spaces, and that stochastic network symmetries can successfully suggest, or rule out, possible underlying mechanisms.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1009.4489.
Date of creation: Sep 2010
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Publication status: Published in Symmetry 2, no. 3, pp. 1710-1744 (2010)
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-10-02 (All new papers)
- NEP-EVO-2010-10-02 (Evolutionary Economics)
- NEP-INT-2010-10-02 (International Trade)
- NEP-NET-2010-10-02 (Network Economics)
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