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Ranking structures and rank–rank correlations of countries: The FIFA and UEFA cases

Author

Listed:
  • Marcel Ausloos

    (GRAPES, rue de la Belle Jardiniere, 483/0021, B-4031, Liege Angleur, Euroland, Belgium)

  • Rudi Cloots

    (Department of Chemistry, University of Liège, B6C LCIS – GreenMAT, B-4000 Liège, Belgium)

  • Adam Gadomski

    (Department of Physics, University of Technology and Life Sciences, Institute of Mathematics and Physics, PL-85-796 Bydgoszcz, Poland)

  • Nikolay K. Vitanov

    (Bulgarian Academy of Sciences, Institute of Mechanics, Acad. G. Bonchev Str., Bl. 4, BG-1113 Sofia, Bulgaria)

Abstract

Ranking of agents competing with each other in complex systems may lead to paradoxes according to the pre-chosen different measures. A discussion is presented on such rank–rank, similar or not, correlations based on the case of European countries ranked by UEFA and FIFA from different soccer competitions. The first question to be answered is whether an empirical and simple law is obtained for such (self-) organizations of complex sociological systems with such different measuring schemes. It is found that the power law form is not the best description contrary to many modern expectations. The stretched exponential is much more adequate. Moreover, it is found that the measuring rules lead to some inner structures in both cases.

Suggested Citation

  • Marcel Ausloos & Rudi Cloots & Adam Gadomski & Nikolay K. Vitanov, 2014. "Ranking structures and rank–rank correlations of countries: The FIFA and UEFA cases," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(11), pages 1-17.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:11:n:s0129183114500600
    DOI: 10.1142/S0129183114500600
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    Citations

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    Cited by:

    1. Marcel Ausloos, 2017. "Hint of a Universal Law for the Financial Gains of Competitive Sport Teams. The case of Tour de France cycle race," Papers 1712.00130, arXiv.org.
    2. Ausloos, Marcel, 2020. "Rank–size law, financial inequality indices and gain concentrations by cyclist teams. The case of a multiple stage bicycle race, like Tour de France," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    3. Valerio Ficcadenti & Roy Cerqueti & Ciro Hosseini Varde’i, 2023. "A rank-size approach to analyse soccer competitions and teams: the case of the Italian football league “Serie A"," Annals of Operations Research, Springer, vol. 325(1), pages 85-113, June.

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