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The scale-free topology of market investments

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Author Info

  • Garlaschelli, Diego
  • Battiston, Stefano
  • Castri, Maurizio
  • Servedio, Vito D.P.
  • Caldarelli, Guido

Abstract

We propose a network description of large market investments, where both stocks and shareholders are represented as vertices connected by weighted links corresponding to shareholdings. In this framework, the in-degree (kin) and the sum of incoming link weights (v) of an investor correspond to the number of assets held (portfolio diversification) and to the invested wealth (portfolio volume), respectively. An empirical analysis of three different real markets reveals that the distributions of both kin and v display power-law tails with exponents γ and α. Moreover, we find that kin scales as a power-law function of v with an exponent β. Remarkably, despite the values of α, β and γ differ across the three markets, they are always governed by the scaling relation β=(1-α)/(1-γ). We show that these empirical findings can be reproduced by a recent model relating the emergence of scale-free networks to an underlying Paretian distribution of ‘hidden’ vertex properties.

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Bibliographic Info

Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

Volume (Year): 350 (2005)
Issue (Month): 2 ()
Pages: 491-499

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Handle: RePEc:eee:phsmap:v:350:y:2005:i:2:p:491-499

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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

Related research

Keywords: Complex networks; Econophysics; Wealth distribution; Pareto's law;

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Citations

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Cited by:
  1. De Masi, G. & Giovannetti, G. & Ricchiuti, G., 2013. "Network analysis to detect common strategies in Italian foreign direct investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1202-1214.
  2. Ma, Yuan-yuan & Zhuang, Xin-tian & Li, Ling-xuan, 2011. "Research on the relationships of the domestic mutual investment of China based on the cross-shareholding networks of the listed companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 749-759.
  3. Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2010. "Complex stock trading network among investors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4929-4941.
  4. Stefania Vitali & Stefano Battiston, 2013. "The Community Structure of the Global Corporate Network," Papers 1301.2363, arXiv.org.
  5. Wang, Junjie & Zhou, Shuigeng & Guan, Jihong, 2011. "Characteristics of real futures trading networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 398-409.
  6. Yang, Chunxia & Chen, Yanhua & Niu, Lei & Li, Qian, 2014. "Cointegration analysis and influence rank—A network approach to global stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 168-185.
  7. Stefano Battiston & Joao F. Rodrigues & Hamza Zeytinoglu, 2007. "The Network Of Inter-Regional Direct Investment Stocks Across Europe," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 29-51.
  8. Iori, G. & Masi, G. D. & Precup, O. V. & Gabbi, G. & Caldarelli, G., 2005. "A network analysis of the Italian oversight money market," Working Papers 05/05, Department of Economics, City University London.
  9. Ilaria Bordino & Stefano Battiston & Guido Caldarelli & Matthieu Cristelli & Antti Ukkonen & Ingmar Weber, 2011. "Web search queries can predict stock market volumes," Papers 1110.4784, arXiv.org, revised Jun 2012.
  10. Massimo Riccaboni & Stefano Schiavo, 2009. "The Structure and Growth of Weighted Networks," Papers 0908.0348, arXiv.org, revised Dec 2009.
  11. Konno, Tomohiko, 2009. "Network structure of Japanese firms. Scale-free, hierarchy, and degree correlation: analysis from 800,000 firms," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 3(31), pages 1-13.
  12. Piccardi, Carlo & Calatroni, Lisa & Bertoni, Fabio, 2010. "Communities in Italian corporate networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5247-5258.
  13. Nicol\'o Musmeci & Stefano Battiston & Guido Caldarelli & Michelangelo Puliga & Andrea Gabrielli, 2012. "Bootstrapping topology and systemic risk of complex network using the fitness model," Papers 1209.6459, arXiv.org.
  14. Giulia Rotundo & Anna D’Arcangelis, 2010. "Ownership and control in shareholding networks," Journal of Economic Interaction and Coordination, Springer, vol. 5(2), pages 191-219, December.
  15. Gao, Bo & Ren, Ruo-en, 2013. "The topology of a causal network for the Chinese financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2965-2976.

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