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Google matrix of the world network of economic activities

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  • V. Kandiah
  • H. Escaith
  • D. L. Shepelyansky

Abstract

Using the new data from the OECD-WTO world network of economic activities we construct the Google matrix $G$ of this directed network and perform its detailed analysis. The network contains 58 countries and 37 activity sectors for years 1995 and 2008. The construction of $G$, based on Markov chain transitions, treats all countries on equal democratic grounds while the contribution of activity sectors is proportional to their exchange monetary volume. The Google matrix analysis allows to obtain reliable ranking of countries and activity sectors and to determine the sensitivity of CheiRank-PageRank commercial balance of countries in respect to price variations and labor cost in various countries. We demonstrate that the developed approach takes into account multiplicity of network links with economy interactions between countries and activity sectors thus being more efficient compared to the usual export-import analysis. The spectrum and eigenstates of $G$ are also analyzed being related to specific activity communities of countries.

Suggested Citation

  • V. Kandiah & H. Escaith & D. L. Shepelyansky, 2015. "Google matrix of the world network of economic activities," Papers 1504.06773, arXiv.org.
    • Handle: RePEc:arx:papers:1504.06773
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    Cited by:

    1. Diakantoni, Antonia & Escaith, Hubert & Roberts, Michael & Verbeet, Thomas, 2017. "Accumulating trade costs and competitiveness in global value chains," WTO Staff Working Papers ERSD-2017-02, World Trade Organization (WTO), Economic Research and Statistics Division.
    2. V. Kandiah & H. Escaith & D. L. Shepelyansky, 2015. "Contagion effects in the world network of economic activities," Papers 1507.03278, arXiv.org.
    3. 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.
    4. 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.
    5. Célestin Coquidé & José Lages & Leonardo Ermann & Dima Shepelyansky, 2022. "COVID-19 impact on the international trade," Post-Print hal-03536528, HAL.

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