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Business size distributions

  • D'Hulst, R.
  • Rodgers, G.J.
Registered author(s):

    In a recent work, we introduced two models for the dynamics of customers trying to find the business that best corresponds to their expectation for the price of a commodity. In agreement with the empirical data, a power-law distribution for the business sizes was obtained, taking the number of customers of a business as a proxy for its size. Here, we extend one of our previous models in two different ways. First, we introduce a business aggregation rate that is fitness dependent, which allows us to reproduce a spread in empirical data from one country to another. Second, we allow the bankruptcy rate to take a different functional form, to be able to obtain a log-normal distribution with power-law tails for the size of the businesses.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437101003132
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    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 299 (2001)
    Issue (Month): 1 ()
    Pages: 328-333

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    Handle: RePEc:eee:phsmap:v:299:y:2001:i:1:p:328-333
    DOI: 10.1016/S0378-4371(01)00313-2
    Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    1. Kai Nagel & Martin Shubik & Maya Paczuski & Per Bak, 2000. "Spatial Competition and Price Formation," Working Papers 00-05-029, Santa Fe Institute.
    2. Okuyama, K & Takayasu, M & Takayasu, H, 1999. "Zipf's law in income distribution of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 125-131.
    3. Ramsden, J.J. & Kiss-Haypál, Gy., 2000. "Company size distribution in different countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 220-227.
    4. R. D'Hulst & G. J. Rodgers, 2000. "Models for the size distribution of businesses in a price driven market," Papers nlin/0008018, arXiv.org, revised Mar 2001.
    5. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
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