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Statistical mechanics of the international trade network

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  • Agata Fronczak
  • Piotr Fronczak

Abstract

Analyzing real data on international trade covering the time interval 1950-2000, we show that in each year over the analyzed period the network is a typical representative of the ensemble of maximally random weighted networks, whose directed connections (bilateral trade volumes) are only characterized by the product of the trading countries' GDPs. It means that time evolution of this network may be considered as a continuous sequence of equilibrium states, i.e. quasi-static process. This, in turn, allows one to apply the linear response theory to make (and also verify) simple predictions about the network. In particular, we show that bilateral trade fulfills fluctuation-response theorem, which states that the average relative change in import (export) between two countries is a sum of relative changes in their GDPs. Yearly changes in trade volumes prove that the theorem is valid.

Suggested Citation

  • Agata Fronczak & Piotr Fronczak, 2011. "Statistical mechanics of the international trade network," Papers 1104.2606, arXiv.org, revised May 2012.
  • Handle: RePEc:arx:papers:1104.2606
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    File URL: http://arxiv.org/pdf/1104.2606
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    References listed on IDEAS

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    1. William F. Sharpe, 1965. "Mutual Fund Performance," The Journal of Business, University of Chicago Press, vol. 39, pages 119-119.
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    Cited by:

    1. Yuke Li & Tianhao Wu & Nicholas Marshall & Stefan Steinerberger, 2016. "Extracting Geography from Trade Data," Papers 1607.05235, arXiv.org, revised Jul 2016.
    2. Li, Yuke & Wu, Tianhao & Marshall, Nicholas & Steinerberger, Stefan, 2017. "Extracting geography from trade data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 205-212.
    3. Hoppe, K. & Rodgers, G.J., 2015. "A microscopic study of the fitness-dependent topology of the world trade network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 64-74.

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