Eur. Phys. J. B (2015) 88: 186
https://doi.org/10.1140/epjb/e2015-60324-x

Regular Article

Google matrix of the world network of economic activities^*

¹ Laboratoire de Physique Théorique du CNRS, IRSAMC, Université de Toulouse, UPS, 31062 Toulouse, France
² World Trade Organization, rue de Lausanne 154, 1211 Genève 21, Switzerland

^a e-mail: dima@irsamc.ups-tlse.fr

Received: 24 April 2015
Received in final form: 5 June 2015
Published online: 15 July 2015

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.