TY  - JOUR
VL  - 57
Y1  - 2007///
UR  - http://dx.doi.org/10.1140/epjb/e2007-00165-8
A1  - Pammolli, Fabio
A1  - Buldyrev, Sergey V.
A1  - Riccaboni, Massimo
A1  - Yamasaki, Kazuko
A1  - Fu, Dongfeng
A1  - Matia, Kaushik
A1  - Stanley, H. Eugene
N1  - PACS.  89.75.Fb Structures and organization in complex systems - 89.65.Gh Economics; econophysics, financial markets, business and management 
AV  - none
SP  - 131
TI  - A generalized preferential attachment model for business firms growth rates: II. Mathematical treatment
PB  - Springer
JF  - The European Physical Journal B
IS  - 2
SN  - 1434-6028
N2  - 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 ? = 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 ? = 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. 
EP  - 138
ID  - eprints646
ER  -