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A generalized preferential attachment model for complex systems

Yamasaki, Kazuko and Matia, Kaushik and Fu, Dongfeng and Buldyrev, Sergey V. and Pammolli, Fabio and Riccaboni, Massimo and Stanley, H. Eugene A generalized preferential attachment model for complex systems. Working Paper # /2005 ArXiv (Unpublished)

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Complex systems can be characterized by classes of equivalency of their elements defined according to system specific rules. We propose a generalized preferential attachment model to describe the class size distribution. The model postulates preferential growth of the existing classes and the steady influx of new classes. We investigate how the distribution depends on the initial conditions and changes from a pure exponential form for zero influx of new classes to a power law with an exponential cutoff form when the influx of new classes is substantial. We apply the model to study the growth dynamics of pharmaceutical industry.

Item Type: Working Paper (Working Paper)
Subjects: H Social Sciences > HB Economic Theory
R Medicine > RS Pharmacy and materia medica
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 03 Jul 2014 12:57
Last Modified: 03 Jul 2014 12:57
URI: http://eprints.imtlucca.it/id/eprint/2245

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