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Hidden power law patterns in the top European football leagues

Author

Listed:
  • Sergio, Da Silva
  • Raul, Matsushita
  • Eliza, Silveira

Abstract

Because sports are stylized combat, sports may follow power laws similar to those found for wars, individual clashes, and acts of terrorism. We show this fact for football (soccer) by adjusting power laws that show a close relationship between rank and points won by the clubs participating in the latest seasons of the top fifteen European football leagues. In addition, we use Shannon entropy for gauging league competitive balance. As a result, we are able to rank the leagues according to competitiveness.

Suggested Citation

  • Sergio, Da Silva & Raul, Matsushita & Eliza, Silveira, 2013. "Hidden power law patterns in the top European football leagues," MPRA Paper 48226, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:48226
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    File URL: https://mpra.ub.uni-muenchen.de/48226/1/MPRA_paper_48226.pdf
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    Cited by:

    1. Da Silva, Sergio & Matsushita, Raul & Giglio, Ricardo & Massena, Gunther, 2018. "Granularity of the top 1,000 Brazilian companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 68-73.

    More about this item

    Keywords

    Power laws; Wars; Sports; Terrorism; Football; Soccer;
    All these keywords.

    JEL classification:

    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • Y80 - Miscellaneous Categories - - Related Disciplines - - - Related Disciplines

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