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Google matrix of the world trade network

By Leonardo Ermann and Dima L. Shepelyansky

Abstract

Using the United Nations Commodity Trade Statistics Database [http://comtrade.un.org/db/] we construct the Google matrix of the world trade network and analyze its properties for various trade commodities for all countries and all available years from 1962 to 2009. The trade flows on this network are classified with the help of PageRank and CheiRank algorithms developed for the World Wide Web and other large scale directed networks. For the world trade this ranking treats all countries on equal democratic grounds independent of country richness. Still this method puts at the top a group of industrially developed countries for trade in {\it all commodities}. Our study establishes the existence of two solid state like domains of rich and poor countries which remain stable in time, while the majority of countries are shown to be in a gas like phase with strong rank fluctuations. A simple random matrix model provides a good description of statistical distribution of countries in two-dimensional rank plane. The comparison with usual ranking by export and import highlights new features and possibilities of our approach.Comment: 14 pages, 13 figures. More detailed data and high definition figures are available on the website: http://www.quantware.ups-tlse.fr/QWLIB/tradecheirank/index.htm

Topics: Quantitative Finance - General Finance, Condensed Matter - Statistical Mechanics, Computer Science - Social and Information Networks, Physics - Physics and Society
Year: 2011
OAI identifier: oai:arXiv.org:1103.5027
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  • http://arxiv.org/abs/1103.5027 (external link)
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  • http://comtrade.un.org/db/] (external link)
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