Every sport needs rules. Tournament design refers to the rules that determine how a
tournament, a series of games between a number of competitors, is organized. This study …

In this paper, I report some investigation discussing team selection, whence hierarchy,
through ranking indicators, for example when “measuring” professional cyclist team's …

Pairwise comparisons are used in a wide variety of decision situations where the importance
of alternatives should be measured on a numerical scale. One popular method to derive the …

This paper investigates the fairness of the 2018 FIFA World Cup qualifying competition via
Monte Carlo simulations. The qualifying probabilities are calculated for 102 nations, all …

There are situations in which a monopoly solution cannot be reached. In these cases, which
situation represents the maximum concentration (minimum competitive balance)? It is a …

The dynamic ranking, due to its increasing importance in many applications, is becoming
crucial, especially with the collection of voluminous time‐dependent data. One such …

Is there a way to determine which tournament format is better than another? Are round-robin
tournaments superior to a single-elimination bracket? Using elements from game design, we …

In this paper, we provide a simple forward-looking approach to compare rating methods with
respect to their stability over time. Given a rating vector of entities involved in the comparison …

Measurement of the degree of competitive balance, how evenly teams are matched, is
central to the analysis of professional sports leagues. A common problem with within-season …

Many sports leagues are played in a tightly scheduled round-robin format, leaving a limited
time window to postpone matches. If the season cannot resume due to an external shock …