English, Article, Journal or magazine article edition: A Generalized Preferential Attachment Model for Business Firms Growth Rates: II. Mathematical Treatment Buldyrev, Sergey V.; Pammolli, Fabio; Riccaboni, Massimo; ...

User activity

Share to:
 
Bookmark: http://trove.nla.gov.au/version/97424
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • A Generalized Preferential Attachment Model for Business Firms Growth Rates: II. Mathematical Treatment
Author
  • Buldyrev, Sergey V.
  • Pammolli, Fabio
  • Riccaboni, Massimo
  • Yamasaki, Kazuko
  • Fu, Dongfeng
  • Matia, Kaushik
  • Stanley, H. Eugene
Physical Description
  • preprint
Notes
  • We present a preferential attachment growth model to obtain the distribution P(K) of number of units K in the classes which may represent business firms or other socio-economic entities. We found that P(K) is described in its central part by a power law with an exponent φ =​ 2+b/​(1−b) which depends on the probability of entry of new classes, b. In a particular problem of city population this distribution is equivalent to the well known Zipf law. In the absence of the new classes entry, the distribution P(K) is exponential. Using analytical form of P(K) and assuming proportional growth for units, we derive P(g), the distribution of business firm growth rates. The model predicts that P(g) has a Laplacian cusp in the central part and asymptotic power-law tails with an exponent ζ =​ 3. We test the analytical expressions derived using heuristic arguments by simulations. The model might also explain the size-variance relationship of the firm growth rates.
  • firm growth; size distribution; Gibrat law; Zipf law
  • RePEc:pra:mprapa:15980
Language
  • English
Contributed by
OAIster

Get this edition

Other links

  • Set up My libraries

    How do I set up "My libraries"?

    In order to set up a list of libraries that you have access to, you must first login or sign up. Then set up a personal list of libraries from your profile page by clicking on your user name at the top right of any screen.

  • All (1)
  • Unknown (1)
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.

User activity


e.g. test cricket, Perth (WA), "Parkes, Henry"

Separate different tags with a comma. To include a comma in your tag, surround the tag with double quotes.

Be the first to add a tag for this edition

Be the first to add this to a list

Comments and reviews

What are comments? Add a comment

No user comments or reviews for this version

Add a comment