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.

 

Presentation: Invited oral at 8 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Misako Takayasu
See 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