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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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    Cited by:

    1. C'elestin Coquid'e & Jos'e Lages & Dima L. Shepelyansky, 2020. "Crisis contagion in the world trade network," Papers 2002.07100, arXiv.org.
    2. Denis Demidov & Klaus M. Frahm & Dima L. Shepelyansky, 2019. "What is the central bank of Wikipedia?," Papers 1902.07920, arXiv.org.
    3. V. Kandiah & H. Escaith & D. L. Shepelyansky, 2015. "Contagion effects in the world network of economic activities," Papers 1507.03278, arXiv.org.
    4. 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.
    5. Young-Ho Eom & Pablo Aragón & David Laniado & Andreas Kaltenbrunner & Sebastiano Vigna & Dima L Shepelyansky, 2015. "Interactions of Cultures and Top People of Wikipedia from Ranking of 24 Language Editions," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-27, March.
    6. Célestin Coquidé & José Lages & Dima Shepelyansky, 2020. "Interdependence of sectors of economic activities for world countries from the reduced Google matrix analysis of WTO data," Post-Print hal-02132487, HAL.
    7. 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.
    8. C'elestin Coquid'e & Jos'e Lages & Dima L. Shepelyansky, 2024. "Opinion formation in the world trade network," Papers 2401.02378, arXiv.org, revised Feb 2024.
    9. Célestin Coquidé & José Lages & Dima Shepelyansky, 2020. "Crisis contagion in the world trade network," Post-Print hal-02482438, HAL.
    10. Célestin Coquidé & José Lages & Leonardo Ermann & Dima Shepelyansky, 2022. "COVID-19 impact on the international trade," Post-Print hal-03536528, HAL.
    11. Célestin Coquidé & José Lages & Dima Shepelyansky, 2024. "Opinion Formation in the World Trade Network," Post-Print hal-04461784, HAL.
    12. Young-Ho Eom & Dima L Shepelyansky, 2013. "Highlighting Entanglement of Cultures via Ranking of Multilingual Wikipedia Articles," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-10, October.
    13. Leonardo Ermann & Dima L. Shepelyansky, 2015. "Google matrix analysis of the multiproduct world trade network," Papers 1501.03371, arXiv.org.
    14. Demidov, Denis & Frahm, Klaus M. & Shepelyansky, Dima L., 2020. "What is the central bank of Wikipedia?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    15. C'elestin Coquid'e & Jos'e Lages & Dima L. Shepelyansky, 2023. "Prospects of BRICS currency dominance in international trade," Papers 2305.00585, arXiv.org.
    16. C'elestin Coquid'e & Leonardo Ermann & Jos'e Lages & D. L. Shepelyansky, 2019. "Influence of petroleum and gas trade on EU economies from the reduced Google matrix analysis of UN COMTRADE data," Papers 1903.01820, arXiv.org.

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