Abstract
A new measure of competitive balance in sport leagues is proposed, based on a vector approach to measuring similarity. The standard measures, such as, the win percentage standard deviation ratio, consider the inequality per season only. Analyzing the inequality of a competition over time requires a different approach. The measure proposed here is well suited to determining the dynamic competitive balance of a league. As the application on the German Bundesliga indicates, the new measure is a useful complement to the existing measures of competitive balance and should enhance the analysis of outcome uncertainty in sports leagues.
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