Playing With Power-Law Curves: A New Way to Analyze Market Structures and Sectors

Authors

  • Harold L. Vogel Vogel Capital Management Powerlaw Analytics, LLC

DOI:

https://doi.org/10.14738/abr.108.12754

Keywords:

-Laws, Concentration, Antitrust, Movies, Travel, Banking

Abstract

This paper outlines a universal empirical method that illustrates how such curves can be used to reveal changes in economic structures and relationships. The method takes power law analysis from a static snapshot to something more akin to a motion picture. The approach leads to an alternative to the classic Herfindahl-Hirschman sector concentration approach. It also provides a relatively stable characteristic numerical description for each sector and market segment and eliminates the biases caused by price inflation. Collection of such segment data can lead to a characteristic number, a signature, for a region’s economy or a company’s overall competitive position. The method is applicable in -- and can provide valuable new insights about -- an unlimited number of fields, for examples, everything from mergers and acquisition strategies and antitrust studies to sports, medical science, and entertainment.

References

Andres, H-J., Golsch, K., & Schmidt, A. W., (2013). Applied panel Data Analysis for Economic and Social Surveys. Heidelberg: Springer.

Axtell, R. L. (2001). Zipf distribution of U.S. firm sizes, Science, 293(5536).

Bhargava, R., Faircloth, S., & Zeng, H. (2017). Takeover protection and stock price crash risk: Evidence from state antitakeover ;laws, Journal of Business Research, 70(March).

Buchanan, M, (2001). Ubiquity: The science of history or why the world is simpler than we think. New York: Crown.

Clauset, A, Shalizi, C R., & Newman, M. E. J., (2009). Power-Law distributions in empirical data, SIAM Review, 51(4)(November).

Eaton, J, Korum, S, & Kramarz, F, (2011). An anatomy of international trade: Evidence from French firms.” Econometrica, 79(5).

Elberse, A, (2013). Blockbusters: Hit-Making, Risk-Taking, and the Big Business of Entertainment. New York: Henry Holt.

Eliazar, I. )2020). Power Laws: A Statistical Trek. Switzerland: Springer Nature. th

Everitt, B. S., Landau, S., Leese, M, & Stahl, D, (2011). Cluster Analysis, 5 ed. Hoboken, NJ: Wiley.

Faloutsos, M., Faloutsos, P., & Faloutsos, C. (1999). The power-law relationships of the internet topology, ACM SIGCOMM Computer Communications Review, 29(4)(October).

Gabaix, X. (2016). Power laws in economics: An introduction,” Journal of Economic Perspectives, 10(1) (Winter). (2008). Power laws in economics and finance,” Annual Review of Economics, 1.

Jiang, B, & de Rjke, C. (2021) A power-law-based approach to mapping COVID-19 cases in the United States, Geo-Spatial Information Science, February.

Krueger, A, (2019), Rockonomics: A backstage tour of what the music industry can teach us. New York: Currency/Crown.

Levy, M., & Solomon, S. (1997). New evidence for the power-law distribution of wealth, Physica A: Statical Mechanics and Its Applications, 242(1*2)(August).

Meng, F, Ngai, L., Wong, Y, & Zhou, H. (2019). Power law relations in earthquakes from microsopic to macroscopic scales, Scientific Repors, 5.

Moreno-Sanchez, I, Font-Clos, R, & Corral, A, (2016). “Large-scale analysis of Zipf’s Law in English texts,” PLoSONE, 11(1)(January).

Nocke, V., and Whinston, M. D. )2022). “Concentration Thresholds for Horizontal Mergers,” American Economic Review, 112(6)(June).

Piantadosi, S. T. (2014). “Zipf’s word frequency law in natural language: A critical review and future directions,” Psychonomic Bulletin & Review, 21(March).

Prechter, R. R, Jr. (2016). The socionomic theory of finance. Gainsville, GA: Socionomics Institute Press. rd

Vogel, H. L. (2021). Financial market bubbles & crashes: 3 ed.::Features, causes, and effects. New York: Palgrave Macmillan. th (2021). Travel industry economics: A guide for financial analysis, 4 ed., Heidelberg: Springer. th (2020). Entertainment industry economics: A guide for financial analysis, 10 ed. New York: Cambridge University Press. (2017). “Are there any laws and constants in economics?: A brief comparison to the sciences.” Journal of Contemporary Management, (6)(March).

West, G. B., Brown, J, H., & Enquist, J. (2000). The origin of universal scaling laws in biology.” In Scaling in Biology, J. H. Brown & G. B. West, eds., Oxford University Press, pp. 87-112.

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Published

2022-08-29

How to Cite

Vogel, H. L. (2022). Playing With Power-Law Curves: A New Way to Analyze Market Structures and Sectors. Archives of Business Research, 10(8), 158–174. https://doi.org/10.14738/abr.108.12754