arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1111.4852q-fin.GNcs.SIphysics.soc-ph
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Biased diffusion on Japanese inter-firm trading network: Estimation of sales from network structure

Hayafumi Watanabe, Hideki Takayasu, Misako Takayasu

英文摘要:

To investigate the actual phenomena of transport on a complex network, we analysed empirical data for an inter-firm trading network, which consists of about one million Japanese firms and the sales of these firms (a sale corresponds to the total in-flow into a node). First, we analysed the relationships between sales and sales of nearest neighbourhoods from which we obtain a simple linear relationship between sales and the weighted sum of sales of nearest neighbourhoods (i.e., customers). In addition, we introduce a simple money transport model that is coherent with this empirical observation. In this model, a firm (i.e., customer) distributes money to its out-edges (suppliers) proportionally to the in-degree of destinations. From intensive numerical simulations, we find that the steady flows derived from these models can approximately reproduce the distribution of sales of actual firms. The sales of individual firms deduced from the money-transport model are shown to be proportional, on an average, to the real sales.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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