Power law distribution of wealth in population based on a modified Equíluz-Zimmermann model

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

Volumn 71, Issue 4, 2005, Pages

  Xie, Yan Bo ^a   Wang, Bing Hong ^a   Hu, Bo ^a   Zhou, Tao ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FINANCIAL MARKETS; INFORMATION TRANSMISSION; MEAN FIELD APPROXIMATION;

APPROXIMATION THEORY; DATA REDUCTION; ECONOMICS; FINANCE; INFORMATION ANALYSIS; MARKETING; MATHEMATICAL MODELS; PROBABILITY; SOCIAL ASPECTS;

BEHAVIORAL RESEARCH;

EID: 41349105224     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.046135     Document Type: Article

References (31)

1. G. K. Zipf, Human Behavior and the Principle of Least Effort (Addison-Wesley, Cambridge, MA, 1949).
2. V. Pareto, Cours d'Economique Politique (Macmillan, Paris, 1897), Vol. 2.
3. B. Mandelbrot, Econometrica 29, 517 (1961).
4. B. B. Mandelbrot, C. R. Hebd. Seances Acad. Sci. 232, 1638 (1951).
5. A. Dragulescu and V. M. Yakovenko, Physica A 299, 213 (2001).
6. A. B. Atkinson and A. J. Harrison, Distribution of Total Wealth in Britain (Cambridge University Press, Cambridge, U.K., 1978).
7. H. Takayasu, A.-H. Sato, and M. Takayasu, Phys. Rev. Lett. 79, 966 (1997).
8. P. W. Anderson, in The Economy as an Evolving Complex System II edited by W. B. Arthur, S. N. Durlauf, and D. A. Lane (Addison-Wesley, Reading, MA, 1997).
9. The Theory of Income and Wealth Distribution edited by Y. S. Brenner et al., (St. Martin's Press, New York, 1988).
10. H. A. Simon and C. P. Bonini, Am. Econ. Rev. 48, 607 (1958).
11. U. G. Yule, Philos. Trans. R. Soc. London, Ser. B 213, 21 (1924).
12. D. G. Champernowne, Econometrica 63, 318 (1953).
13. H. Kesten, Acta Math. 131, 207 (1973).
14. S. Solomon, in Annual Reviews of Computational Physics II, edited by D. Stauffer (World Scientific, Singapore, 1995), p. 243.
15. M. Levy and S. Solomon, Int. J. Mod. Phys. C 7, 595 (1996).
16. S. Solomon and M. Levy, Int. J. Mod. Phys. C 7, 745 (1996).
17. O. Malcai, O. Biham, and S. Solomon, Phys. Rev. E 60, 1299 (1999).
18. B. B. Mandelbrot, Int. Econom. Rev. 1, 79 (1960).
19. E. W. Montroll and M. F. Shlesinger, in Nonequilibrium Phenomena II. From Stochastics to Hydrodynamics, edited by J. L. Lebowitz and E. W. Montroll (North-Holland, Amsterdam, 1984).
20. D. Sornette and R. Cont, J. Phys. I 7, 431 (1997).
21. H. Takayasu and K. Okuyama, Fractals 6, 67 (1998).
22. Z. A. Melzak, Mathematical Ideas, Modeling and Applications, Companion to Concrete Mathematics Vol. 2 (Wiley, New York, 1976), p. 279.
23. S. Ispolatov, P. L. Krapivsky, and S. Redner, Eur. Phys. J. B 2, 267 (1998).
24. A. Dragulescu and V. M. Yakovenko, Eur. Phys. J. B 17, 723 (2000).
25. C. B. Yang, Chin. Phys. Lett. (to be published).
26. V. M. Eguíluz and M. G. Zimmermann, Phys. Rev. Lett. 85, 5659 (2000).
27. R. D'Hulst and G. J. Rodgers, Eur. Phys. J. B 20, 619 (2001).
28. For instance see E. Levine, D. Mukamel, and G. Ziv, J. Stat. Mech.: Theory Exp. P05001 (2004).
29. Y. B. Xie, B. H. Wang, H. J. Quan, W. S. Yang, and P. M. Hui, Phys. Rev. E 65, 046130 (2002).
30. Y. B. Xie, B. H. Wang, H. J. Quan, W. S. Yang, and W. N. Wang, Acta Phys. Sin. 52, 2399 (2003) (in Chinese).
31. s is also greater than 2 when α>4 in our model.