In this work, we consider corporate governance (CG) ties among companies from a multiple network perspective. Such a structure naturally arises from the close interrelation between the Shareholding network and the Board of Directors network. In order to capture the simultaneous effects of both networks on CG, we propose to model the CG multiple network structure via tensor analysis. In particular, we consider the TOPHITS model, based on the PARAFAC tensor decomposition, to show that tensor techniques can be successfully applied in this context. By providing some empirical results from the Italian financial market in the univariate case, we then show that a tensor–based multiple network approach can reveal important information.
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Sources: Bloomberg and Borsa Italiana databases. Shareholding structure as of 16 July 2013 and the board composition as of July 2013.
Andersson, C.A., Bro, R.: The N-way toolbox for MATLAB. Chemom. Intell. Lab. Syst. 52(1), 1–4 (2000)
Bader, B.W., Kolda, T.G., et al.: MATLAB Tensor Toolbox Version 2.5. http://www.sandia.gov/ tgkolda/TensorToolbox/ (2012). Jan 2012
Barrat, A., Barthélemy, M., Vespignani, A.: Dynamical Processes on Complex Networks, 4th edn. Cambridge University Press, Cambridge (2011)
Battiston, F., Nicosia, V., Latora, V.: Structural measures for multiplex networks. Phys. Rev. E 89, 032804 (2014)
Battiston, S., Catanzaro, M.: Statistical properties of corporate board and director networks. Eur. Phys. J. B 38, 345–352 (2004)
Bertoni, F., Randone, P.A.: The small-world of Italian finance: ownership interconnections and board interlocks amongst Italian listed companies. Working paper (2006)
Bianchi, M., Bianco, M.: Italian corporate governance in the last 15 years: from pyramids to coalitions?. Finance working paper No 144. European corporate governance institute (2006)
Bianco, M., Casavola, P.: Italian corporate governance: effects on financial structure and firm performance. Eur. Econ. Rev. 43(4), 1057–1069 (1999)
Bianconi, G.: Statistical mechanics of multiplex networks: entropy and overlap. Phys. Rev. E 87, 062806 (2013)
Menichetti, G., Remondini, D., Panzarasa, P., Mondragón, R. J., Bianconi, G., Weighted multiplex networks arXiv:1312.6720 (2013)
Bonacich, P.: Power and centrality: a family of measures. Am. J. Sociol. 92(5), 1170–1182 (1987)
Bro, R., Kiers, H.A.L.: A new efficient method for determining the number of components in PARAFAC models. J. Chemom. 17, 274–286 (2003)
Cohen, R., Havlin, S.: Complex Networks: Structure, Robustness and Function. Cambridge University Press, Cambridge (2010)
D’Errico, M., Grassi, R., Stefani, S., Torriero, A.: Shareholding networks and centrality: an application to the Italian financial market. Lect. Notes Econ. Math. Syst. 613, 215–228 (2009)
D’Errico, M., Stefani, S., Torriero, A. Informal ties in organizations: a case study. Qual. Quant. pp. 1–15 (2013). Article in Press. http://dx.doi.org/10.1007/s11135-013-9862-0
Estrada, E.: The Structure of Complex Networks: Theory and Applications. Oxford University Press, Oxford (2012)
Faccio, Mara, Larry, H.P.: The ultimate ownership of Western European corporations. J. Financ. Econ. 65.3, 365–395 (2002)
Grassi, R.: Vertex centrality as a measure of information flow in Italian Corporate Board Networks. Phys. A 389(12), 2455–2464 (2010)
Harary, F.: Graph Theory. Addison-Wesley, Reading (1969)
Harshman, R.A.: Foundations of the PARAFAC procedure: models and conditions for an “explanatory” multimodal factor analysis. UCLA Working papers in phonetics 16, 1–84 (1970)
Kleinberg, J.M.: Authoritative sources in a hyperlinked environment. J. ACM 46(5), 604–632 (1999)
Kolda, T.G., Bader, B.W., Kenny, J.P.: Higher-order web link analysis using multilinear algebra, SANDIA REPORT, SAND2005-4548 (2005)
Kolda, T.G., Bader, B.W.: Tensor decompositions and applications. SIAM Rev. 51(3), 455–500 (2009)
Perra, N., Fortunato, S.: Spectral centrality measures in complex networks. Phys. Rev. E 78, 036107 (2008)
Piccardi, C., Calatroni, L., Bertoni, F., Communities in Italian corporate networks. Phys. A: Stat. Mech. Appl. 389(22), pp. 5247–5258 (2010). ISSN 0378–4371, http://dx.doi.org/10.1016/j.physa.2010.06.038
Rotundo, G., D’Arcangelis, A.M.: Network of companies: an analysis of market concentration in the Italian stock market. Qual. Quant. 1–18 (in press, 2013).
Santella, P., Drago, C., Polo, A., Gagliardi E.: A Comparison among the director networks in the main listed companies in France, Germany, Italy, and the United Kingdom. MPRA Paper No. 16397 (2009)
Solà L., Romance M., Criado R., Flores J., Garcia Del Amo A., Boccaletti S.: Centrality of nodes in multiplex networks. arXiv:1305.7445v1 (2013).
Tucker, L.R.: Implications of factor analysis of three-way matrices for measurement of change. In: Harris, C.W. (ed.) Problems in Measuring Change, pp. 122–137. University of Wisconsin Press, Madison (1963)
We would like to thank the anonymous referees for their valuable comments and suggestions which helped us to improve the manuscript.
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Bonacina, F., D’Errico, M., Moretto, E. et al. A multiple network approach to corporate governance. Qual Quant 49, 1585–1595 (2015). https://doi.org/10.1007/s11135-014-0075-y
- Multiple networks
- Tensor analysis
- Corporate governance