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Measurement of competitive balance in professional team sports using the adjusted entropy

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  • Vasileios Manasis

    (School of Physical Education and Sport Science, National and Kapodistrian University of Athens)

Abstract

Competitive balance is an important concept for professional team sports and relates with the balance among the sporting capabilities of teams. Among the different approaches introduced in the literature, indices from the industrial organization theory have been used to measure competitive balance. The attention of this study in on the Entropy Index applied in sports in the form of Relative Entropy (R). The application in English Premier League indicates that, in cases with variant number of teams N, R index leads to misleading interpretation of competitive balance. It is shown that the introduced Adjusted Entropy (AH) remains invariant to changes in N and solves the deficiencies of R.

Suggested Citation

  • Vasileios Manasis, 2022. "Measurement of competitive balance in professional team sports using the adjusted entropy," Economics Bulletin, AccessEcon, vol. 42(2), pages 1124-1134.
    • Handle: RePEc:ebl:ecbull:eb-21-01070
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    References listed on IDEAS

    as
    1. N. Scelles, 2017. "Star quality and competitive balance? Television audience demand for English Premier League football reconsidered," Applied Economics Letters, Taylor & Francis Journals, vol. 24(19), pages 1399-1402, November.
    2. El-Hodiri, Mohamed & Quirk, James, 1971. "An Economic Model of a Professional Sports League," Journal of Political Economy, University of Chicago Press, vol. 79(6), pages 1302-1319, Nov.-Dec..
    3. Tim Pawlowski, 2013. "Testing the Uncertainty of Outcome Hypothesis in European Professional Football," Journal of Sports Economics, , vol. 14(4), pages 341-367, August.
    4. Kelly Goossens, 2006. "Competitive balance in european football: comparison by adapting measures: national measure of seasonal imbalance and Top 3," Rivista di Diritto ed Economia dello Sport, Centro di diritto e business dello Sport, vol. 2(2), pages 77-122, Dicembre.
    5. P. Owen & Michael Ryan & Clayton Weatherston, 2007. "Measuring Competitive Balance in Professional Team Sports Using the Herfindahl-Hirschman Index," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 31(4), pages 289-302, December.
    6. Martin B. Schmidt & David J. Berri, 2001. "Competitive Balance and Attendance," Journal of Sports Economics, , vol. 2(2), pages 145-167, May.
    7. Dennis Coates & Brad R. Humphreys & Li Zhou, 2014. "Reference-Dependent Preferences, Loss Aversion, And Live Game Attendance," Economic Inquiry, Western Economic Association International, vol. 52(3), pages 959-973, July.
    8. Humphreys, Brad R & Pérez, Levi, 2019. "Loss aversion, upset preference, and sports television viewing audience size," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 78(C), pages 61-67.
    9. Vani K. Borooah & John Mangan, 2012. "Measuring competitive balance in sports using generalized entropy with an application to English premier league football," Applied Economics, Taylor & Francis Journals, vol. 44(9), pages 1093-1102, March.
    10. Brad R. Humphreys, 2002. "Alternative Measures of Competitive Balance in Sports Leagues," Journal of Sports Economics, , vol. 3(2), pages 133-148, May.
    11. Vasileios Manasis & Vassiliki Avgerinou & Ioannis Ntzoufras & J. James Reade, 2011. "Measurement of competitive balance in professional team sports using the Normalized Concentration Ratio," Economics Bulletin, AccessEcon, vol. 31(3), pages 2529-2540.
    12. Rodney Fort & Joel Maxcy, 2003. "“Competitive Balance in Sports Leagues: An Introductionâ€," Journal of Sports Economics, , vol. 4(2), pages 154-160, May.
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    JEL classification:

    • L8 - Industrial Organization - - Industry Studies: Services
    • Z0 - Other Special Topics - - General

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