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Two universal, probabilistic measures of competitive imbalance

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  • M. Kevin McGee

Abstract

I propose two universal measures of competitive imbalance. The first is, like those in the existing literature, based on team season win--loss records. The second is based solely on the outcomes of the various series of individual matchups during a season. Both measures will on average equal (2 p − 1)-super-2, where p is the ‘typical’ probability that the stronger team will win any particular game. Both measures will average zero when a league is competitively balanced and will converge to 1 as the league approaches perfect imbalance. In addition, both measures are universal, in that they are on average independent of the number of teams in the league and the number of games played during the season.

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  • M. Kevin McGee, 2016. "Two universal, probabilistic measures of competitive imbalance," Applied Economics, Taylor & Francis Journals, vol. 48(31), pages 2883-2894, July.
    • Handle: RePEc:taf:applec:v:48:y:2016:i:31:p:2883-2894
    DOI: 10.1080/00036846.2015.1130792
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    Cited by:

    1. 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.
    2. Young Hoon Lee & Yongdai Kim & Sara Kim, 2019. "A Bias-Corrected Estimator of Competitive Balance in Sports Leagues," Journal of Sports Economics, , vol. 20(4), pages 479-508, May.
    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. Dejan Trifunovi? & Vito Pipitone, 0000. "Welfare Maximizing Competitive Balance: the Evidence from Top European Football leagues," Proceedings of International Academic Conferences 11113139, International Institute of Social and Economic Sciences.
    5. Dorian Owen & Caitlin Owen, 2017. "Simulation Evidence on Herfindahl-Hirschman Indices as Measures of Competitive Balance," Working Papers 1715, University of Otago, Department of Economics, revised Dec 2017.

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