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How to account for changes in the size of Sports Leagues? The Iso Competitive Balance Curves

Author

Listed:
  • Jean-Pascal Gayant

    (GAINS - Groupe d'Analyse des Itinéraires et des Niveaux Salariaux - UM - Le Mans Université)

  • Nicolas Le Pape

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this note, we focus on the measure of Competitive Balance in sport league when the size of the league varies. We construct a Competitive Balnce index defined as the ratio of the actual standard deviation to the maximal standard deviation, the value of the demoninator depending on the size of the league. On the basis of this ratio we then construct Iso Competitive Balance curves.

Suggested Citation

  • Jean-Pascal Gayant & Nicolas Le Pape, 2012. "How to account for changes in the size of Sports Leagues? The Iso Competitive Balance Curves," Post-Print halshs-00708604, HAL.
    • Handle: RePEc:hal:journl:halshs-00708604
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    Cited by:

    1. Nicolas Scelles & Christophe Durand & Liliane Bonnal & Daniel Goyeau & Wladimir Andreff, 2013. "My team is in contention? Nice, I go to the stadium! Competitive intensity in the French football Ligue 1," Economics Bulletin, AccessEcon, vol. 33(3), pages 2365-2378.
    2. Antonio Avila-Cano & Francisco Triguero-Ruiz, 2024. "Did the UEFA Champions League winners start in an easy group?," Journal of Economic Analysis, Anser Press, vol. 3(3), pages 161-172, September.
    3. Nicolas Scelles & Christophe Durand & Liliane Bonnal & Daniel Goyeau, 2013. "My team is in contention? Nice, I go to the stadium! Competitive intensity in the French football ligue 1," Post-Print halshs-02111064, HAL.
    4. Dubois, Marc, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 1-10.
    5. Francisco Triguero Ruiz & Antonio Avila-Cano, 2019. "The distance to competitive balance: a cardinal measure," Applied Economics, Taylor & Francis Journals, vol. 51(7), pages 698-710, February.
    6. Nicolas Scelles & Christophe Durand & Liliane Bonnal & Daniel Goyeau & Wladimir Andreff, 2013. "My team is in contention ? Nice, I go to the stadium ! Competitive intensity in the French football ligue 1," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02111064, HAL.
    7. Nicolas SCELLES, 2016. "Wladimir Andreff (Ed.), Disequilibrium Sports Economics: Competitive Imbalance and Budget Constraints," Journal of Economics and Political Economy, KSP Journals, vol. 3(2), pages 393-410, June.
    8. Antonio Avila-Cano & Amparo Ruiz-Sepulveda & Francisco Triguero-Ruiz, 2021. "Identifying the Maximum Concentration of Results in Bilateral Sports Competitions," Mathematics, MDPI, vol. 9(11), pages 1-19, June.
    9. Avila-Cano, Antonio & Owen, P. Dorian & Triguero-Ruiz, Francisco, 2023. "Measuring competitive balance in sports leagues that award bonus points, with an application to rugby union," European Journal of Operational Research, Elsevier, vol. 309(2), pages 939-952.
    10. Jean‐Pascal Gayant & Nicolas Le Pape, 2017. "Increasing Downside or Outer Risk? The Challenge of Measuring Competitive Imbalance in Closed and Open Leagues," Southern Economic Journal, John Wiley & Sons, vol. 83(3), pages 774-795, January.
    11. Marc Dubois, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Post-Print hal-04692979, HAL.
    12. Antonio Ávila-Cano & Francisco Triguero-Ruiz, 2018. "The distribution of soccer leagues scores that generates the minimum of competitive balance: Truncated-Cascade Distribution," Working Papers 2018-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.

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    JEL classification:

    • L8 - Industrial Organization - - Industry Studies: Services

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