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Advances in Operations Research
Volume 2011, Article ID 269239, 21 pages
Research Article

Fluctuation of Firm Size in the Long-Run and Bimodal Distribution

1Graduate School of Science, Kyoto University, Yoshida, Sakyo, Kyoto 606-8501, Japan
2Department of Mathematics, University of Frankfurt, Robert Mayer Street 8-10, 60054 Frankfurt, Germany
3Center for Empirical Macroeconomics, 33615 Bielefeld, Germany and New School University, New York, NY 10011, USA
4ATR Human Information Science Laboratories, Kyoto 619-0288, Japan

Received 3 April 2011; Accepted 27 June 2011

Academic Editor: Walter J. Gutjahr

Copyright © 2011 Hideaki Aoyama et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Gibrat, Les Inégalités Économiques, Sirey, Paris, France, 1932.
  2. Y. Fujiwara, C. Di Guilmi, H. Aoyama, M. Gallegati, and W. Souma, “Do Pareto-Zipf and Gibrat laws hold true? An analysis with European firms,” Physica A, vol. 335, no. 1-2, pp. 197–216, 2004. View at Publisher · View at Google Scholar
  3. R. N. Mantegna and H. E. Stanley, An Introduction to Econophysics: Correlations & Complexity in Finance, Cambridge University Press, Cambridge, UK, 2000.
  4. Y. Fujiwara, W. Souma, H. Aoyama, T. Kaizoji, and M. Aoki, “Growth and fluctuations of personal income,” Physica A, vol. 321, no. 3-4, pp. 598–604, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  5. G. Bottazzi and A. Secchi, “Growth and diversification patterns of the worldwide pharmaceutical industry,” Review of Industrial Organization, vol. 26, no. 2, pp. 195–216, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. G. Bottazzi, A. Coad, N. Jacoby, and A. Secchi, “Corporate growth and industrial dynamics: evidence from french manufacturing,” Applied Economics, vol. 43, no. 1, pp. 103–116, 2011. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Marshall, Principles of Economics, McMillan, London, UK, 1948.
  8. B. Arthur, “Competing technologies, increasing returns, and lock-in by historical small events,” Economic Journal, vol. 99, pp. 116–131, 1989. View at Google Scholar
  9. B. Arthur, “Positive feedbacks in the economy,” Scientific America, vol. 262, pp. 92–99, 1990. View at Google Scholar
  10. B. Arthur, Increasing Returns and Path Dependence in the Economy, Michigan Press, 1994.
  11. A. K. Skiba, “Optimal growth with a convex-concave production function,” Econometrica, vol. 46, no. 3, pp. 527–539, 1978. View at Publisher · View at Google Scholar
  12. W. A. Brock and A. G. Milliaris, Differential Equations, Stability and Chaos in Dynamic Economics, North Holland, Amsterdam, The Netherlands, 1996.
  13. R. Eisner and R. Stroz, Determinants of Business Investment, Impacts on Monetary Policy, Prentice Hall, 1963.
  14. R. E. Lucas, “Adjustment costs and the theory of supply,” Journal of Political Economy, vol. 75, pp. 321–334, 2007. View at Google Scholar
  15. M. Kato, W. Semmler, and M. Ofori, “Adjustment costs and tobin's q in a model with mutiple steady state,” in Time and Space in Economics, T. Asada and T. Ishikawa, Eds., Springer, Heidelberg, Germany, 2007. View at Google Scholar
  16. R. M. Townsend, “Optimal contracts and competitive markets with costly state verification,” Journal of Economic Theory, vol. 21, no. 2, pp. 265–293, 1979. View at Google Scholar
  17. B. Bernanke, M. Gertler, and S. Gilchrist, “The financial accelerator in a quantitative business cycle framework,” in Handbook of Macroeconomics, J. Taylor and M. Woodford, Eds., North-Holland, Amsterdam, The Netherlands, 1999. View at Google Scholar
  18. L. Grüne, W. Semmler, and M. Sieveking, “Creditworthiness and thresholds in a credit market model with multiple equilibria,” Economic Theory, vol. 25, no. 2, pp. 287–315, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  19. M. Gertler and S. Gilchrist, “Monetary policy, business cycles, and the behavior of small manufacturing firms,” The Quarterly Journal of Economics, vol. 109, no. 2, pp. 309–340, 1994. View at Google Scholar
  20. R. C. Merton, “On the pricing of corporate debt. The risk structure of the interest rate,” Journal of Finance, vol. 2, pp. 449–470, 1974. View at Google Scholar
  21. L. Grüne and W. Semmler, “Using dynamic programming with adaptive grid scheme for optimal control problems in economics,” Journal of Economic Dynamics and Control, vol. 28, pp. 2427–2456, 2004. View at Google Scholar
  22. B. W. Hall and R. E. Hall, “The value and performance of U.S. corporations,” Booking Papers of Economic Activity, vol. 1, pp. 1–49, 1993. View at Google Scholar
  23. M. Mazzucato and W. Semmler, “Market share instability and stock price volatility during the industry life-cycle: the US automobile industry,” Journal of Evolutionary Economics, vol. 9, no. 1, pp. 67–96, 1999. View at Google Scholar
  24. V. Pareto, Le Cours d'Économie Politique, Macmillan, London, UK, 1897.