Percolation model for growth rates of aggregates and its application for business firm growth

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 3, 2006, Pages

  Fu, Dongfeng ^a   Buldyrev, Sergey V ^b   Salinger, Michael A ^c,d   Stanley, H Eugene ^a  

^a Boston University   (United States)

^b YESHIVA UNIVERSITY   (United States)

^c FEDERAL TRADE COMMISSION   (United States)

^d BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AGGREGATES; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

GROWTH RATES; MODEL PARAMETERS; PERCOLATION MODEL; STEADY STATE DISTRIBUTION;

PERCOLATION (SOLID STATE);

EID: 33749244946     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.036118     Document Type: Article

References (72)

1. R. Gibrat, Bull. Stat. Gen. 19, 469 (1930).
2. R. Gibrat, Les Inégalités Economiques (Sirey, Paris, 1931).
3. R. H. Coase, Econometrica ECMTA7 0012-9682 4, 386 (1937).
4. M. Kalecki, Econometrica ECMTA7 0012-9682 13, 161 (1945).
5. G. Zipf, Human Behavior and the Principle of Least Effort (Addison-Wesley, Cambridge, MA, 1949).
6. H. A. Simon, Biometrika BIOKAX 0006-3444 10.2307/2333389 42, 425 (1955).
7. P. E. Hart and S. J. Prais, J. R. Stat. Soc. Ser. A (Gen.) JSTAAG 0035-9238 119, 150 (1956).
8. H. A. Simon and C. P. Bonini, Am. Econ. Rev. ZZZZZZ 0002-8282 48, 607 (1958).
9. W. Baumol, Business Behavior, Value, and Growth (MacMillan, New York, 1959).
10. S. Hymer and P. Pashigian, J. Polit. Econ. ZZZZZZ 0022-3808 52, 556 (1962).
11. R. Cyert and J. March, A Behavioral Theory of the Firm (Prentice-Hall, Englewood Cliffs, NJ, 1963).
12. J. Steindl, Random Processes and the Growth of Firms: A study of the Pareto law (Griffin, London, 1965).
13. Y. Ijiri and H. A. Simon, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 72, 1654 (1975).
14. A. Singh and G. Whittington, Rev. Econ. Stud. ZZZZZZ 0034-6527 42, 15 (1975).
15. M. C. Jensen and W. H. Meckling, Annu. Rev. Nucl. Sci. ARNUA8 0066-4243 3, 305 (1976).
16. Y. Ijiri and H. A. Simon, Skew Distributions and the Sizes of Business Firms (North-Holland, Amsterdam, 1977).
17. R. Lucas, Bell J. Econom. BJECD3 0361-915X 9, 508 (1978).
18. H. R. Varian, Microeconomics Analysis (Norton, New York, 1978).
19. B. Jovanovic, Econometrica ECMTA7 0012-9682 50, 649 (1982).
20. R. R. Nelson and S. G. Winter, An Evolutionary Theory of Technical Change (Harvard University Press, Cambridge, MA, 1982).
21. D. Shapiro, R. D. Bollman, and P. Ehrensaft, Am. J. Agric. Econom. AJAEBA 0002-9092 69, 477 (1987).
22. D. S. Evans, J. Polit. Econ. ZZZZZZ 0022-3808 95, 657 (1987).
23. B. H. Hall, J. Ind. Econ. JIEOAF 0022-1821 35, 583 (1987).
24. A. Golan, Ph.D. thesis, University of California, Berkeley, 1988.
25. T. Dunne, M. Roberts, and L. Samuelson, Denshi Shashin Gakkaishi DSHGDD 0387-916X 104, 671 (1989).
26. B. R. Holmstrom and J. Tirole, in Handbook of Industrial Organization, edited by, R. Schmalensee, and, R. Willig, (North-Holland, Amsterdam, 1989), Vol. 1, p. 61.
27. O. E. Williamson, in Handbook of Industrial Organization, edited by, R. Schmalensee, and, R. Willig, (North-Holland, Amsterdam, 1989), Vol. 1, p. 135.
28. F. M. Scherer and D. R. Ross, Industrial Market Structure and Economic Performance (Houghton Mifflin, Boston, 1990).
29. P. Milgrom and J. Roberts, Economics, Organization, and Management (Prentice-Hall, Englewood Cliffs, NJ, 1992).
30. S. J. Davis and J. Haltiwanger, Quart. J. Econom. ZZZZZZ 0033-5533 107, 819 (1992).
31. R. Radner, Econometrica ECMTA7 0012-9682 61, 1109 (1993).
32. A. Golan, Adv. Econome. 10, 1 (1994).
33. A. Pakes and P. McGuire, Rand J. Econ. RJECEA 0741-6261 25, 555 (1994).
34. R. E. Ericson and A. Pakes, Rev. Econ. Stud. ZZZZZZ 0034-6527 62, 53 (1995).
35. M. H. R. Stanley, S. V. Buldyrev, R. Mantegna, S. Havlin, M. A. Salinger, and H. E. Stanley, Econ. Lett. ECLEDS 0165-1765 49, 453 (1995).
36. P. Hart and N. Oulton, Econom. J. ECJOAB 0013-0133 106, 1242 (2006).
37. J. Sutton, J. Econom. Lit. JECLB3 0022-0515 35, 40 (1997).
38. X. Gabaix, Quart. J. Econom. ZZZZZZ 0033-5533 114, 739 (1999).
39. G. Bottazzi, G. Dosi, M. Lippi, F. Pammolli, and M. Riccaboni, Int. J. Ind. Org. 19, 1161 (2001).
40. R. L. Axtell, Science SCIEAS 0036-8075 10.1126/science.1062081 293, 1818 (2001).
41. G. D. Fabritiis, F. Pammolli, and M. Riccaboni, Physica A PHYADX 0378-4371 324, 38 (2003).
42. D. Fu, F. Pammolli, S. V. Buldyrev, M. Riccaboni, K. Matia, K. Yamasaki, and H. E. Stanley, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 102, 18801 (2005).
43. M. H. R. Stanley, L. A. N. Amaral, S. V. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M. A. Salinger, and H. E. Stanley, Nature (London) NATUAS 0028-0836 10.1038/379804a0 379, 804 (1996);
44. L. A. N. Amaral, S. V. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M. A. Salinger, H. E. Stanley, and M. H. R. Stanley, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1997180 7, 621 (1997);
45. S. V. Buldyrev, L. A. N. Amaral, S. Havlin, H. Leschhorn, P. Maass, M. A. Salinger, H. E. Stanley, and M. H. R. Stanley, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1997181 7, 635 (1997).
46. Y. Lee, L. A. N. Amaral, D. Canning, M. Meyer, and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3275 81, 3275 (1998);
47. D. Canning, L. A. N. Amaral, Y. Lee, M. Meyer, and H. E. Stanley, Ann. Geophys. (France) ANGED2 60, 335 (1998).
48. T. Keitt and H. E. Stanley, Nature (London) NATUAS 0028-0836 10.1038/30478 393, 257 (1998).
49. V. Plerou, L. A. N. Amaral, P. Gopikrishnan, M. Meyer, and H. E. Stanley, Nature (London) NATUAS 0028-0836 10.1038/22719 400, 433 (1999).
50. L. A. N. Amaral, S. V. Buldyrev, S. Havlin, M. A. Salinger, and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1385 80, 1385 (1998).
51. R. H. Coase, J. Law Econ. Org. 4, 3 (1988);
52. R. H. Coase, The Nature of the Firm: Origins, Evolution, and Development (Oxford University Press, New York, 1993), pp. 34-74.
53. R. H. Coase, J. Law Econom. JLLEA7 0022-2186 43, 15 (2000).
54. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, 1971).
55. P. Bak, K. Chen, J. Sheinkman, and M. Woodford, Richerche Economi. 47, 3 (1993).
56. P. Krugman, The Self-Organizing Economy (Blackwell, Cambridge, England, 1996).
57. H. Harold, Econometrica ECMTA7 0012-9682 39, 41 (1929).
58. R. L. Schmalensee and R. D. Willig, Handbook of Industrial Organization (North-Holland, Amsterdam, 1989), Vol. 1, p. 723.
59. S. D. Drugger, A. Nitzan, and M. A. Ratner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.446144 79, 3133 (1983).
60. S. D. Drugger, M. A. Ratner, and A. Nitzan, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.3939 31, 3939 (1985).
61. A. K. Harrison and R. Zwanzig, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.1072 32, 1072 (1985).
62. A. L. R. Bug and Y. Gefen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.35.1301 35, 1301 (1987).
63. R. Granek and A. Nitzan, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1. 458143 92, 1329 (1988).
64. R. Granek and A. Nitzan, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1. 455836 90, 3784 (1989).
65. O. Bénichou, J. Klafter, M. Moreau, and G. Oshanin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.3327 62, 3327 (2000).
66. O. Dürr, T. Volz, and W. Dieterich, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1481763 117, 441 (2002).
67. D. Stauffer, Introduction to Percolation Theory (Taylor & Francis, London, 1985).
68. A. Bunde and S. Havlin, Fractals and Disordered Systems (Springer, Berlin, 1996).
69. T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1989).
70. A. Coniglio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.46. 250 46, 250 (1982).
71. M. P. M. den Nijs, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/12/10/030 12, 1857 (1979).
72. B. Nienhuis, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/1/028 15, 199 (1982).