eprintid: 2278 rev_number: 10 eprint_status: archive userid: 6 dir: disk0/00/00/22/78 datestamp: 2014-09-02 12:17:12 lastmod: 2014-12-05 10:10:15 status_changed: 2014-09-02 12:17:12 type: article metadata_visibility: show creators_name: Foschi, Rachele creators_name: Riccaboni, Massimo creators_name: Schiavo, Stefano creators_id: creators_id: massimo.riccaboni@imtlucca.it creators_id: title: Preferential attachment in multiple trade networks ispublished: pub subjects: HB subjects: HF divisions: EIC full_text_status: public keywords: PACS number(s): 89.65.Gh, 89.75.Hc note: © 2014 American Physical Society abstract: In this paper we develop a model for the evolution of multiple networks which is able to replicate the concentrated and sparse nature of world trade data. Our model is an extension of the preferential attachment growth model to the case of multiple networks. Countries trade a variety of goods of different complexity. Every country progressively evolves from trading less sophisticated to high-tech goods. The probabilities of capturing more trade opportunities at a given level of complexity and of starting to trade more complex goods are both proportional to the number of existing trade links. We provide a set of theoretical predictions and simulative results. A calibration exercise shows that our model replicates the same concentration level of world trade as well as the sparsity pattern of the trade matrix. We also discuss a set of numerical solutions to deal with large multiple networks. date: 2014-08 date_type: published publication: Physical Review E volume: 90 publisher: American Physical Society pagerange: 022817 id_number: 10.1103/PhysRevE.90.022817 refereed: TRUE issn: 1539-3755 official_url: http://link.aps.org/doi/10.1103/PhysRevE.90.022817 citation: Foschi, Rachele and Riccaboni, Massimo and Schiavo, Stefano Preferential attachment in multiple trade networks. Physical Review E, 90. 022817. ISSN 1539-3755 (2014) document_url: http://eprints.imtlucca.it/2278/1/PhysRevE_Riccaboni_2014.pdf