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The Structure and Growth of Weighted Networks

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Author Info
Massimo Riccaboni
Stefano Schiavo

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Abstract

We develop a simple theoretical framework for the evolution of weighted network that is consistent with a number of stylized features of real-world data. In our framework, the Barabasi-Albert model of network evolution is extended as recently proposed by Stanley and colleagues in their work on complex system dynamics. Our model is verify by means of simulations and real world trade data. We show that the model correctly predicts the intensity and growth distribution of links, the size-variance relationships of the growth of link values, the relationship between the degree and strength of nodes, as well as the scale-free structure of the network.

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File URL: http://arxiv.org/abs/0908.0348
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File URL: http://arxiv.org/pdf/0908.0348
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Paper provided by arXiv.org in its series Quantitative Finance Papers with number 0908.0348.

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Date of creation: Aug 2009
Date of revision: Oct 2009
Handle: RePEc:arx:papers:0908.0348

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  1. D. Garlaschelli & M. I. Loffredo, 2004. "Fitness-dependent topological properties of the World Trade Web," Quantitative Finance Papers cond-mat/0403051, arXiv.org, revised Oct 2004. [Downloadable!]
  2. Fu, Dongfeng & Pammolli, Fabio & Buldyrev, Sergey V. & Riccaboni, Massimo & Matia, Kaushik & Yamasaki, Kazuko & Stanley, H. Eugene, 2005. "The Growth of Business Firms: Theoretical Framework and Empirical Evidence," MPRA Paper 15905, University Library of Munich, Germany. [Downloadable!]
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  3. Sergey V. Buldyrev & Jakub Growiec & Fabio Pammolli & Massimo Riccaboni & H. Eugene Stanley, 2007. "The Growth of Business Firms: Facts and Theory," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 574-584, 04-05. [Downloadable!] (restricted)
  4. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, MIT Press, vol. 123(2), pages 441-487, 05. [Downloadable!] (restricted)
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  5. Growiec, Jakub & Pammolli, Fabio & Riccaboni, Massimo & Stanley, H. Eugene, 2008. "On the size distribution of business firms," Economics Letters, Elsevier, vol. 98(2), pages 207-212, February. [Downloadable!] (restricted)
  6. Yamasaki, Kazuko & Matia, Kaushik & Buldyrev, Sergey V. & Fu, Dongfeng & Pammolli, Fabio & Riccaboni, Massimo & Stanley, H. Eugene, 2004. "Preferential attachment and growth dynamics in complex systems," MPRA Paper 15908, University Library of Munich, Germany, revised 06 Feb 2006. [Downloadable!]
  7. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-21, September. [Downloadable!]
  8. Giorgio Fagiolo & Mauro Napoletano & Andrea Roventini, 2006. "Are Output Growth-Rate Distributions Fat-Tailed? Some Evidence from OECD Countries," Working Papers 36, Università di Verona, Dipartimento di Scienze economiche. [Downloadable!]
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