Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade

Franco Ruzzenenti, Diego Garlaschelli and Riccardo Basosi

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Abstract: We 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.

Date: 2010-09
New Economics Papers: this item is included in nep-evo, nep-int and nep-net
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Citations: View citations in EconPapers (9)

Published in Symmetry 2, no. 3, pp. 1710-1744 (2010)

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1009.4489

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