KTS and Mantis: A comparative study of their tiebreaker systems

Winning Formula

Abstract

The tiebreaker system is used to determine a player’s ranking in a tournament when there are multiple players with similar Match Wins. A hypothesis proposes that the final standings of the Swiss Rounds in a tournament is affected by the different tiebreaker system employed by the Konami Tournament Software (KTS) and Mantis Tournament Software (Mantis). Testing are conducted to examine and investigate the hypothesis.

1 Introduction

In a Swiss and Playoff Top Cut tournament format, a player’s chances of making into the playoff is determined by the tiebreaker system. In a situation where players are tied in Match Wins, the tiebreaker will be used to determine the ranking of the players. As such, the tiebreaker system is significant enough to determine whether a player is able to make it into the playoffs.

As observed below, the tiebreaker system employed slightly differs between the two system. On closer inspection, the Tiebreaker 2 of KTS is similar to the Tiebreaker 1 of Mantis, while the Tiebreaker 3 of KTS is similar to the Tiebreaker 2 of Mantis.

Konami Tournament Software

  1. Match Wins
  2. Opponents’ match-win percentage
  3. Opponent’s opponents’ match-win percentage

Mantis Tournament Software

  1. Win/Loss Sum – the performance of players that a player has played over the course of the tournament
  2. First Tiebreaker Sum – the performance of the opponents that all of a player’s opponents played
  3. Timing – the importance of the rounds in which you lost

The hypothesis proposes that due to the different tiebreaker system, the results of the final standings of a tournament will be different. This single test is insufficient to draw an absolute conclusion, but the test provides a good illustration of the overall hypothesis, and the outcome of the test could undermine the hypothesis.

2 Methods

The recently concluded World Championship 2013 Finalist Tournament -Singapore- saw 22 players pitted against each other to win an exclusive Finalist Tournament playmat. The pairings and standings of the tournament were determined by the Konami Tournament Software.

The exact pairings and results of the 5 rounds of Swiss will be replicated on the Mantis Tournament Software. The final standings after round 5 generated by both Tournament System will then be compared and evaluated.

3 Results and discussion

Konami Tournament Software

Rank Player Points
1 Shaun Lin 15
2 Soh Jun Yuan 12
3 Yong Wei Ann 12
4 Michael Santoso 12
5 Calvin Ang 9
6 William Oh 9
7 Leong Chang Peng 9
8 Cassandra Ang 9
9 Tan Wan Xin 9
10 Jason Ng 9
11 Alvin Nah 9
12 Leo Lim 9
13 Lee Sheng Jie 6
14 Alex Yeo 6
15 Ng Nian Jie 6
16 Lim Jun Jie 6
17 Colin Ang 6
18 Edmond Yeo 3
19 Ching Ling Wong 3
20 Ong Wei Sheng 3
21 Sherwyn Lim 3
22 Kenneth Koh 0

Mantis Tournament Software

Rank Player MW T1 T2 T3
1 Shaun Lin 5 +7 +21 0
2 Soh Jun Yuan 4 +7 +15 25
3 Yong Wei Ann 4 +3 +21 4
4 Michael Santoso 4 -3 +5 4
5 William Oh 3 +7 +11 41
6 Calvin Ang 3 +7 +9 25
7 Leong Chang Peng 3 +5 +21 20
8 Cassandra Ang 3 +5 +11 29
9 Tan Wan Xin 3 +5 +9 10
10 Jason Ng 3 -1 -3 34
11 Leo Lim 3 -3 +13 17
12 Alvin Nah 3 -3 +3 13
13 Lee Sheng Jie 2 +3 -1 26
14 Ng Nian Jie 2 -1 +13 35
15 Alex Yeo 2 -1 +1 42
16 Colin Ang 2 -3 -19 35
17 Lim Jun Jie 2 -5 -11 21
18 Edmond Yeo 1 +1 -19 54
19 Ching Ling Wong 1 -1 -9 46
20 Ong Wei Sheng 1 -7 -19 54
21 Sherwyn Lim 1 -11 -15 39
22 Kenneth Koh 0 -1 -7 55

For both KTS and Mantis, the Top 10 players are ranked similarly. However, the rankings of the 11th and 12th, 14th and 15th, 16th and 17th players are different. To draw a conclusion, a closer inspection between Alvin Nah’s and Leo Lim’s tiebreakers has to be taken.

Alvin Nah

Round Opponent Results Win Percentage
1 Ching Ling Wong 1W 4L 20%
2 William Oh 3W 2L 60%
3 Cassandra Ang 3W 2L 60%
4 Lim Jun Jie 2W 3L 40%
5 Colin Ang 2W 3L 40%

Average Opponents’ Win Percentage = 44%

Leo Lim

Round Opponent Results Win Percentage
1 William Oh 3W 2L 60%
2 Ching Ling Wong 1W 4L 20%
3 Kenneth Koh 0W 5L 0%
4 Shaun Lin 5W 0L 100%
5 Edmond Yeo 1W 4L 20%

Average Opponents’ Win Percentage = 40%

The Tiebreaker 1 of KTS has both players tied at 9 points, while Tiebreaker 2 has Alvin Nah slightly ahead with a 44% Opponents’ Win Percentage and Leo Lim with a 40% Opponents’ Win Percentage.
The Tiebreaker 1 of Mantis has both players tied at -3 points, while Tiebreaker 2 has Leo Lim slightly ahead with +13 points and Alvin Nah with +3 points.

Despite the slight difference in final standings generated, both tiebreaker system are equally fair as they are dependent on the performance of the player’s opponents and opponents’ opponents. A matter of personal preference, Win Percentage appears to be a stronger indicator of the opponents’ performance compared to the Win/Loss Sum. As shown in the above case, Alvin Nah had been paired with opponents who are arguably performing better with a medium of 2 Wins, whereas Leo Lim had been paired with opponents who are arguably performing poorer with a medium of 1 Win.

4 Conclusion

The hypothesis that the final standings of the Swiss Rounds in a tournament is affected by the different tiebreaker system employed by the Konami Tournament Software (KTS) and Mantis Tournament Software (Mantis) stands correct. However, in the limited testing done, the Top Cut remains unaffected by the difference in tiebreaker system. Further testing is required to conclusively evaluate the hypothesis.

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1 Response to “KTS and Mantis: A comparative study of their tiebreaker systems”


  1. 1 Pablo August 8, 2013 at 11:19 pm

    Really good study.


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