论文信息 - Statistical properties of business firms structure and growth

Statistical properties of business firms structure and growth

We analyze a database comprising quarterly sales of 55624 pharmaceutical products commercialized by 3939 pharmaceutical firms in the period 1992--2001. We study the probability density function (PDF) of growth in firms and product sales and find that the width of the PDF of growth decays with the sales as a power law with exponent $\beta = 0.20 \pm 0.01$. We also find that the average sales of products scales with the firm sales as a power law with exponent $\alpha = 0.57 \pm 0.02$. And that the average number products of a firm scales with the firm sales as a power law with exponent $\gamma = 0.42 \pm 0.02$. We compare these findings with the predictions of models proposed till date on growth of business firms.

[1] H. Stanley,et al. Scaling the volatility of GDP growth rates , 1998 .

[2] S. Winter,et al. The Nature of the Firm: Origins, Evolution, and Development , 1992 .

[3] S. Havlin,et al. Power law scaling for a system of interacting units with complex internal structure , 1998 .

[4] H. A. Simon,et al. Skew Distributions and the Size of Business Firms , 1977 .

[5] H. Eugene Stanley,et al. Universal features in the growth dynamics of complex organizations , 1998, cond-mat/9804100.

[6] L. Amaral,et al. Scaling behaviour in the growth of companies , 1996, Nature.

[7] H. Stanley,et al. The growth of business firms: theoretical framework and empirical evidence. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[8] H. Stanley,et al. Preferential Attachment and Growth Dynamics in Complex Systems , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.