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

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  • Jean-Pascal Gayant
  • Nicolas Le Pape

Abstract

In this note, we focus on the measure of Competitive Balance in a sport league when the size of the league varies. We construct a Competitive Balance index defined as the ratio of the actual standard deviation to the maximal standard deviation, the value of the denominator depending on the size of the league. On the basis of this ratio we then construct Iso Competitive Balance curves.
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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," TEPP Working Paper 2012-02, TEPP.
    • Handle: RePEc:tep:teppwp:wp12-02
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    References listed on IDEAS

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    1. Andrew S. Zimbalist, 2002. "Competitive Balance in Sports Leagues," Journal of Sports Economics, , vol. 3(2), pages 111-121, May.
    2. Stefan Szymanski, 2010. "Income Inequality, Competitive Balance and the Attractiveness of Team Sports: Some Evidence and a Natural Experiment from English Soccer," Palgrave Macmillan Books, in: Football Economics and Policy, chapter 9, pages 182-201, Palgrave Macmillan.
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    6. Stefan Kesenne, 2000. "Revenue Sharing and Competitive Balance in Professional Team Sports," Journal of Sports Economics, , vol. 1(1), pages 56-65, February.
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    9. repec:ebl:ecbull:v:12:y:2005:i:5:p:1-11 is not listed on IDEAS
    10. Daniel Mizak & Armond Rossi & Anthony Stair, 2005. "Assessing alternative competitive balance measures for sports leagues: a theoretical examination of standard deviations, gini coefficients, & the index of dissimilarity," Economics Bulletin, AccessEcon, vol. 12(5), pages 1-11.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Dubois, Marc, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 1-10.
    9. 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.
    10. 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.
    11. 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.

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