Effect of Coagulation of Nodes in an Evolving Complex Network

Miura, Wataru; Takayasu, Hideki; Takayasu, Misako

doi:10.1103/physrevlett.108.168701

Cited by 54 publications

(79 citation statements)

References 24 publications

(34 reference statements)

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“…17.1, the parameter is estimated as 0:078. This value is close to 0:053 reported in [18], and is also close to around 0:05 reported in [17]. T/ and N.T/ is closely related to the constant decay rate of firm activities that does not depend on the age of firms.…”

Section: Age Distribution Of Firmssupporting

confidence: 53%

See 1 more Smart Citation

Firm Age Distributions and the Decay Rate of Firm Activities

Ishikawa

Fujimoto

Mizuno

et al. 2015

Proceedings of the International Conference on Social Modeling and Simulation, Plus Econophysics Colloquium 2014

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In this study, we investigated around one million pieces of Japanese firm-size data, which are included in the database ORBIS, and confirmed that the age distribution of firms approximately obeys an exponential function. We estimated the decay rate of firms by comparing their activities in 2008 and 2013 and found that it does not depend on firm age and can be regarded to be constant. Here, decay rate of firms denotes the state transition probability of firm activities. These two observations are qualitatively consistent when the number of newly founded firms is nearly constant. This phenomenon is analogous to nuclear decay. We quantitatively confirmed this consistency by comparing the parameters of exponential age distribution with the decay rate of firm activities. At the same time, using this result, we estimated the number of firms founded annually and the decay rate of firm activities in Japan before World War II.

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Section: Age Distribution Of Firmssupporting

confidence: 53%

“…Several studies reported that the age distribution of firms obeys an exponential function [17,18]. Since some firms still exist that were founded over 100 years ago, the age distribution of firms, which is observed at a point in time, must be related to long-term statistical laws.…”

Section: Introductionmentioning

confidence: 99%

Firm Age Distributions and the Decay Rate of Firm Activities

Ishikawa

Fujimoto

Mizuno

et al. 2015

Proceedings of the International Conference on Social Modeling and Simulation, Plus Econophysics Colloquium 2014

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“…Based on this discussion, Miura, Takayasu and Takayasu [8] proposed a new general network evolution model (MTT model).…”

Section: Empirical Data Analysismentioning

confidence: 99%

“…In addition, both distributions of in degrees and out degrees are roughly the same. Miura et al [8] used the data that cannot be distinguished between established firms and merged firms. Therefore, they decided to set each preferential exponent b D c D 1 for their simulation.…”

Section: Exponent Of Preferential Attachmentmentioning

confidence: 99%

Empirical Analysis of Firm-Dynamics on Japanese Interfirm Trade Network

Goto

Takayasu

2015

Proceedings of the International Conference on Social Modeling and Simulation, Plus Econophysics Colloquium 2014

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We analyze Japanese interfirm trade network data for 20 years from the viewpoint of the metabolism of scale-free network evolution. We find that the preferential attachment effect of established firms is stronger than that of merged firms. This shows that merging firms should choose counterparties using delicate business strategies that may not be related to the degree. We also find that the distribution of lifespan of links is approximated well by an exponential function with the characteristic time of 6 years. The results imply the link creation and deletion is well characterized by a Poisson process.

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“…Observed in the short-term, non-Gibrat's law and Gibrat's law are related to early power-law and subsequent exponential growth observed in the long-term. The other is firm age distribution (For instance, see [39]- [42]). …”

Section: Introductionmentioning

confidence: 99%

Transition Law of Firms’ Activity and the Deficit Aspect of Non-Gibrat’s law

Ishikawa

Fujimoto

Mizuno

et al. 2017

Proceedings of the Asia-Pacific Econophysics Conference 2016 — Big Data Analysis and Modeling Toward Super Smart Society — (APE

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In this study, employing the ORBIS database provided by Bureau van Dijk that contains information on around 140 million private firms worldwide, we focus on firms with sales data in their first year but that do not have such data in their next year. We identified a decreasing power-law dependence of the exit rate of firms on sales in the first year in Japan, France, Italy, and Spain from 2004 to 2012. We qualitatively explain this property of firms by the deficit aspect of short-term laws. Assuming that their sales were insufficient to maintain their activity the next year, the firms became inactive and, therefore, no sales data were available. By comparing the power-law indices estimated from this assumption with those directly estimated by the exit rate of firms, we show that two kinds of power-law indices are almost the same in the four countries.

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Effect of Coagulation of Nodes in an Evolving Complex Network

Cited by 54 publications

References 24 publications

Firm Age Distributions and the Decay Rate of Firm Activities

Firm Age Distributions and the Decay Rate of Firm Activities

Empirical Analysis of Firm-Dynamics on Japanese Interfirm Trade Network

Transition Law of Firms’ Activity and the Deficit Aspect of Non-Gibrat’s law

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