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Perspective ---From Gaussian to Paretian Thinking: Causes and Implications of Power Laws in Organizations

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  • Pierpaolo Andriani

    (Durham Business School, Durham University, Durham DH1 3LB, United Kingdom, and eBMS-ISUFI, Universita' del Salento, Italy)

  • Bill McKelvey

    (UCLA Anderson School of Management, University of California, Los Angeles, Los Angeles, California 90095)

Abstract

Although normal distributions and related current quantitative methods are still relevant for some organizational research, the growing ubiquity of power laws signifies that Pareto rank/frequency distributions, fractals, and underlying scale-free theories are increasingly pervasive and valid characterizations of organizational dynamics. When they apply, researchers ignoring power-law effects risk drawing false conclusions and promulgating useless advice to practitioners. This is because what is important to most managers are the extremes they face, not the averages. We show that power laws are pervasive in the organizational world and present 15 scale-free theories that apply to organizations. Next we discuss research implications embedded in Pareto rank/frequency distributions and draw statistical and methodological implications.

Suggested Citation

  • Pierpaolo Andriani & Bill McKelvey, 2009. "Perspective ---From Gaussian to Paretian Thinking: Causes and Implications of Power Laws in Organizations," Organization Science, INFORMS, vol. 20(6), pages 1053-1071, December.
  • Handle: RePEc:inm:ororsc:v:20:y:2009:i:6:p:1053-1071
    DOI: 10.1287/orsc.1090.0481
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    as
    1. Bettencourt, Luis M.A. & Lobo, Jose & Strumsky, Deborah, 2007. "Invention in the city: Increasing returns to patenting as a scaling function of metropolitan size," Research Policy, Elsevier, vol. 36(1), pages 107-120, February.
    2. Fujiwara, Yoshi, 2004. "Zipf law in firms bankruptcy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 219-230.
    3. David Colander (ed.), 2000. "The Complexity Vision and the Teaching of Economics," Books, Edward Elgar Publishing, number 1955.
    4. Stanley, H.E & Amaral, L.A.N & Gopikrishnan, P & Plerou, V, 2000. "Scale invariance and universality of economic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 283(1), pages 31-41.
    5. Kevin J. Dooley & Andrew H. Van de Ven, 1999. "Explaining Complex Organizational Dynamics," Organization Science, INFORMS, vol. 10(3), pages 358-372, June.
    6. Solomon, Sorin & Richmond, Peter, 2001. "Power laws of wealth, market order volumes and market returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 188-197.
    7. Patriarca, Marco & Chakraborti, Anirban & Germano, Guido, 2006. "Influence of saving propensity on the power-law tail of the wealth distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 723-736.
    8. David W. Sims & Emily J. Southall & Nicolas E. Humphries & Graeme C. Hays & Corey J. A. Bradshaw & Jonathan W. Pitchford & Alex James & Mohammed Z. Ahmed & Andrew S. Brierley & Mark A. Hindell & David, 2008. "Scaling laws of marine predator search behaviour," Nature, Nature, vol. 451(7182), pages 1098-1102, February.
    9. Daniel M. Abrams & Steven H. Strogatz, 2003. "Modelling the dynamics of language death," Nature, Nature, vol. 424(6951), pages 900-900, August.
    10. M. Batty & R. Carvalho & A. Hudson-Smith & R. Milton & D. Smith & P. Steadman, 2008. "Scaling and allometry in the building geometries of Greater London," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(3), pages 303-314, June.
    11. Podobnik, Boris & Fu, Dongfeng & Jagric, Timotej & Grosse, Ivo & Eugene Stanley, H., 2006. "Fractionally integrated process for transition economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 465-470.
    12. Cederman, Lars-Erik, 2003. "Modeling the Size of Wars: From Billiard Balls to Sandpiles," American Political Science Review, Cambridge University Press, vol. 97(1), pages 135-150, February.
    13. Saito, Yukiko Umeno & Watanabe, Tsutomu & Iwamura, Mitsuru, 2007. "Do larger firms have more interfirm relationships?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 158-163.
    14. Ghysels, Eric & Santa-Clara, Pedro & Valkanov, Rossen, 2005. "There is a risk-return trade-off after all," Journal of Financial Economics, Elsevier, vol. 76(3), pages 509-548, June.
    15. Youngki Lee & Luis A. N. Amaral & David Canning & Martin Meyer & H. Eugene Stanley, 1998. "Universal features in the growth dynamics of complex organizations," Papers cond-mat/9804100, arXiv.org.
    16. S. Battiston & M. Catanzaro, 2004. "Statistical properties of corporate board and director networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 38(2), pages 345-352, March.
    17. Ormerod, Paul & Mounfield, Craig, 2001. "Power law distribution of the duration and magnitude of recessions in capitalist economies: breakdown of scaling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(3), pages 573-582.
    18. Redelico, Francisco O. & Proto, Araceli N. & Ausloos, Marcel, 2008. "Power law for the duration of recession and prosperity in Latin American countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6330-6336.
    19. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    20. Gaffeo, Edoardo & Gallegati, Mauro & Palestrini, Antonio, 2003. "On the size distribution of firms: additional evidence from the G7 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 117-123.
    21. Dan Braha & Yaneer Bar-Yam, 2007. "The Statistical Mechanics of Complex Product Development: Empirical and Analytical Results," Management Science, INFORMS, vol. 53(7), pages 1127-1145, July.
    22. Zhang, Jianhua & Chen, Qinghua & Wang, Yougui, 2009. "Zipf distribution in top Chinese firms and an economic explanation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2020-2024.
    23. Levy, Moshe & Solomon, Sorin, 1997. "New evidence for the power-law distribution of wealth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 90-94.
    24. Hegyi, Géza & Néda, Zoltán & Augusta Santos, Maria, 2007. "Wealth distribution and Pareto's law in the Hungarian medieval society," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 271-277.
    25. Ishikawa, Atushi, 2006. "Pareto index induced from the scale of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 367-376.
    26. Dahui, Wang & Li, Zhou & Zengru, Di, 2006. "Bipartite producer–consumer networks and the size distribution of firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 359-366.
    27. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
    28. Vasiliki Plerou & Luís A. Nunes Amaral & Parameswaran Gopikrishnan & Martin Meyer & H. Eugene Stanley, 1999. "Similarities between the growth dynamics of university research and of competitive economic activities," Nature, Nature, vol. 400(6743), pages 433-437, July.
    29. Song, Dong-Ming & Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2009. "Statistical properties of world investment networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2450-2460.
    30. Souma, Wataru & Aoyama, Hideaki & Fujiwara, Yoshi & Ikeda, Yuichi & Iyetomi, Hiroshi & Kaizoji, Taisei, 2006. "Correlation in business networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 151-155.
    31. Scheinkman, Jose A & Woodford, Michael, 1994. "Self-Organized Criticality and Economic Fluctuations," American Economic Review, American Economic Association, vol. 84(2), pages 417-421, May.
    32. Poole, Marshall Scott & Van de Ven, Andrew H. & Dooley, Kevin & Holmes, Michael E., 2000. "Organizational Change and Innovation Processes: Theory and Methods for Research," OUP Catalogue, Oxford University Press, number 9780195131987.
    33. Legara, Erika Fille & Monterola, Christopher & Juanico, Dranreb Earl & Litong-Palima, Marisciel & Saloma, Caesar, 2008. "Earning potential in multilevel marketing enterprises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4889-4895.
    34. Chmiel, Anna M. & Sienkiewicz, Julian & Suchecki, Krzysztof & Hołyst, Janusz A., 2007. "Networks of companies and branches in Poland," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 134-138.
    35. Gay, Brigitte & Dousset, Bernard, 2005. "Innovation and network structural dynamics: Study of the alliance network of a major sector of the biotechnology industry," Research Policy, Elsevier, vol. 34(10), pages 1457-1475, December.
    36. Buldyrev, S.V & Dokholyan, N.V & Erramilli, S & Hong, M & Kim, J.Y & Malescio, G & Stanley, H.E, 2003. "Hierarchy in social organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 330(3), pages 653-659.
    37. Zanette, Damián H & Manrubia, Susanna C, 2001. "Vertical transmission of culture and the distribution of family names," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 1-8.
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