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Network of companies: an analysis of market concentration in the Italian stock market

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  • Giulia Rotundo
  • Anna D’Arcangelis

Abstract

In this paper we propose an adjustment to the Herfindahl–Hirschman concentration index for explicitly considering the role of the topology of financial economic networks on market concentration. The case study of the Italian stock market serves for outlining the relevance of the shareholding network in the measurement of effective concentration. Moreover, we deepen the analysis of the network comparing network centrality measures, that are a well known method for understanding the relative relevance of network nodes. The correlations among them show their relation, and the fact that none of them can completely substitute the information contained in the size of companies. Such analysis constitutes the base for randomized experiments aiming at understanding to which extent the topology of this financial economic network is constraining the market concentration, so we derive and comment the results on the maximum value of HH $$_{i}$$ i under the scale-free constraint. We also show the fragility of the network under random rewiring, both unconstrained and constrained by the network topology. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Giulia Rotundo & Anna D’Arcangelis, 2014. "Network of companies: an analysis of market concentration in the Italian stock market," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(4), pages 1893-1910, July.
    • Handle: RePEc:spr:qualqt:v:48:y:2014:i:4:p:1893-1910
    DOI: 10.1007/s11135-013-9858-9
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    Cited by:

    1. Anna Maria D’Arcangelis & Giulia Rotundo, 2016. "Complex Networks in Finance," Lecture Notes in Economics and Mathematical Systems, in: Pasquale Commendatore & Mariano Matilla-García & Luis M. Varela & Jose S. Cánovas (ed.), Complex Networks and Dynamics, pages 209-235, Springer.
    2. Abreu, Mariana Piaia & Grassi, Rosanna & Del-Vecchio, Renata R., 2019. "Structure of control in financial networks: An application to the Brazilian stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 302-314.
    3. Gabjin Oh & Ho-Yong Kim & Ayoung Park, 2017. "Analysis of technological innovation based on citation information," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(3), pages 1065-1091, May.
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    5. Mohamed Belhaj & Renaud Bourlès & Frédéric Deroïan, 2020. "Prudential Regulation in Financial Networks," Working Papers halshs-02950881, HAL.
    6. Li, Jie & Ren, Da & Feng, Xu & Zhang, Yongjie, 2016. "Network of listed companies based on common shareholders and the prediction of market volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 508-521.
    7. Roy Cerqueti & Marcel Ausloos, 2015. "Statistical assessment of regional wealth inequalities: the Italian case," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(6), pages 2307-2323, November.
    8. Matteo Cinelli & Giovanna Ferraro & Antonio Iovanella & Giulia Rotundo, 2021. "Assessing the impact of incomplete information on the resilience of financial networks," Annals of Operations Research, Springer, vol. 299(1), pages 721-745, April.
    9. Roy Cerqueti & Giulia Rotundo, 2023. "The weighted cross-shareholding complex network: a copula approach to concentration and control in financial markets," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 18(2), pages 213-232, April.
    10. Roy Cerqueti & Marcel Ausloos, 2014. "Assessing the Inequalities of Wealth in Regions: the Italian Case," Papers 1410.4922, arXiv.org.
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