Google matrix of the world network of economic activities

TL;DR

This paper constructs and analyzes a Google matrix for the world network of economic activities, providing new insights into country and sector rankings, sensitivities, and community structures using a Markov chain approach.

Contribution

It introduces a Google matrix framework for economic networks, incorporating sectoral and country interactions, and offers a more comprehensive analysis than traditional export-import methods.

Findings

Reliable rankings of countries and sectors are obtained.

The approach reveals sensitivities of economic balances to price and labor costs.

Eigenstate analysis uncovers activity communities among countries.

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.