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Application of analysis and modeling of complex business relation network |
Misako Takayasu |
Center for TDB-Advanced Data Analysis and Modeling Tokyo Institute of Technology, Tokyo 226-8502, Japan |
Abstract |
Statistics of business firms is characterized by power law distributions and power law scaling relations among various quantities such as annual sales, number of employees and number of business partners [1]. Complicated trading relation among firms is described by evolution model based on creation-annihilation-aggregation processes [2], and basin structure of money flow can be estimated by a generalized gravity interaction model [3]. Percolation analysis is applied to this trading network, and precise value of percolation threshold and critical exponents are evaluated [4]. We introduce a recent application of our business network modeling in the field of policy making, RESAS [5].
Reference [1] Hayafumi Watanabe, Hideki Takayasu, Misako Takayasu, "Relations between allometric scalings and fluctuations in complex systems: The case of Japanese firms", Physica A, 392, 741-756, 2013. [2] Wataru Miura, Hideki Takayasu, Misako Takayasu "Effect of Coagulation of Nodes in an Evolving Complex Network" Phys. Rev. Lett. 108, 168701 (2012), 5 pages. [3] Koutarou Tamura, Hideki Takayasu, Misako Takayasu, "Extraction of conjugate main-steam structures from a complex network flow" Phys. Rev. E91, 042815, 7 pages, 2015. [4] Hirokazu Kawamoto, Hideki Takayasu, Henrik J Jensen, Misako Takayasu "Precise Calculation of a Bond Percolation Transition and Survival Rates of Nodes in a Complex Network", PLoSONE, 10(4): e0119979, 16 pages, 2015. |
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Presentation: Invited oral at 8 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Misako TakayasuSee On-line Journal of 8 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych" Submitted: 2015-09-23 11:44 Revised: 2015-09-23 11:44 |