In tournament systems, round robin tournament and elimination tournament are different methods for facilitating and organizing the games while featuring competitions which involve only two participants per match, and they are used prominently for ranking participants. However, each tournament system has disadvantages, such as the time required to complete the tournament and difficulties in ranking all participants. To compensate for these disadvantages, our previous study proposed a new tournament system that uses a paired comparison methodology based on the concepts of cyclic designs and Swiss system tournaments. We focused on the relationship between the rank estimated by each method and the true strengths of players while comparing the accuracy of each tournament system ranking and the number of games required to complete each tournament system.
In this study, we add a new evaluation index that accounts for the relationship between estimated rankings and the game results, such as the number of wins and acquired sets. We indicate that the rank estimated using our proposed method reflects not only the game content but also the game results. Moreover, the actual Elo rating value is used to establish the strength of players. The usefulness of the proposed method is verified by reproducing a more realistic situation.
View full abstract