Identifying the Maximum Concentration of Results in Bilateral Sports Competitions

There are situations in which a monopoly solution cannot be reached. In these cases, situation represents the maximum concentration (minimum competitive balance)? It is relevant question, given that sports economics, measuring balance of league done through normalized indices. These indices require level known. Until now, distribution results generates has been identified literature as Complete cascade distribution. However, if scoring system used does not fulfil stability condition, implies total number points championship constant, it can demonstrated generate concentration. This case, for example, with major European football leagues. this article, we constructed perfectly unbalanced distribution, called Truncated level. Therefore, do use there an overestimation measured Then, calculated will wrong, is, underestimated. We provided spreadsheet identifying