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Google matrix of the world trade network

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  • Leonardo Ermann
  • 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.

Suggested Citation

  • Leonardo Ermann & Dima L. Shepelyansky, 2011. "Google matrix of the world trade network," Papers 1103.5027, arXiv.org.
  • Handle: RePEc:arx:papers:1103.5027
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    File URL: http://arxiv.org/pdf/1103.5027
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    Cited by:

    1. Vivek Kandiah & Hubert Escaith & Dima L. Shepelyansky, 2015. "Google matrix of the world network of economic activities," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(7), pages 1-20, July.
    2. Simone Borghesi & Andrea Flori, 2016. "EU ETS Facets in the Net: How Account Types Influence the Structure of the System," Working Papers 2016.08, Fondazione Eni Enrico Mattei.
    3. V. Kandiah & H. Escaith & D. L. Shepelyansky, 2015. "Contagion effects in the world network of economic activities," Papers 1507.03278, arXiv.org.

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