Abstract
Firms build business relationships during economic activities. The goal of this paper is to clarify production mechanisms and economic functions by identifying characteristic patterns of inter-firm interactions. In this paper, we empirically analyze an inter-firm network consisting of about one million firms and four million directed links, in order to specify network motifs, which are small subgraphs that occur more frequently than expected in a randomly generated network. We found that V-shaped triads are network motifs, while feedforward and feedback loop are anti-motifs. By defining roles in the subgraph according to structural equivalence, we also detected the significance profile of roles characterizing the industry sector. The taxonomy of industries obtained from the profiles is economically meaningful. These empirical findings may serve to provide an easily interpretable view of the entire inter-firm network and to improve the efficiency and safety of economic systems.
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References
Clauset A, Shalizi C, Newman M (2007) Arxiv preprint arXiv:0706.1062
Fujiwara Y, Aoyama H (2008) Large-scale structure of a nation-wide production network. Arxiv preprint arXiv:0806.4280
Itzhack R, Mogilevski Y, Louzoun Y (2007) An optimal algorithm for counting network motifs. Physica A 381(15): 482–490
Milo R, Shen-Orr S, Itzkovitz S, Kashtan N, Chklovskii D, Alon U (2002) Network motifs: simple building blocks of complex networks. Science 298(5594): 824–827
Milo R, Kashtan N, Itzkovitz S, Newman MEJ, Alon U (2003) Uniform generation of random graphs with arbitrary degree sequences. Arxiv preprint cond-mat/0312028
Milo R, Itzkovitz S, Kashtan N, Levitt R, Shen-Orr S, Ayzenshtat I, Sheffer M, Alon U (2004) Superfamilies of evolved and designed networks. Science 303(5663): 1538–1542
Ohnishi T, Takayasu H, Takayasu M (2009) Hubs and authorities on Japanese inter-firm network: characterization of nodes in very large directed networks. Prog Theor Phys Suppl 179: 157–166
Ravasz E, Barabási AL (2003) Hierarchical organization in complex networks. Phys Rev E 67: 026112
Saito YU, Watanabe T, Iwamura M (2007) Do larger firms have more interfirm relationships? Physica A 383(1): 158–163
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Ohnishi, T., Takayasu, H. & Takayasu, M. Network motifs in an inter-firm network. J Econ Interact Coord 5, 171–180 (2010). https://doi.org/10.1007/s11403-010-0066-6
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DOI: https://doi.org/10.1007/s11403-010-0066-6