User:ThirdEdition/Finals Systems

Simple finals systems

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Final three

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Match Team 1 Team 2
Week 1 A Rank 2 v Rank 3
Week 2 C Rank 1 v Winner A
Champion Winner C

Knockout four

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Match Team 1 Team 2
Week 1 A Rank 2 v Rank 3
B Rank 1 v Rank 4
Week 2 C Winner B v Winner A
Champion Winner C

Simple final six

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Match Team 1 Team 2
Week 1 A Rank 4 v Rank 5
B Rank 3 v Rank 6
Week 2 C Rank 2 v Winner B
D Rank 1 v Winner A
Week 3 E Winner D v Winner C
Champion Winner E

McIntyre finals systems

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Page-McIntyre system

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Round Match Name Team 1 Team 2
1 A 2nd Semi Final Rank 3 v Rank 4
B 1st Semi Final Rank 1 v Rank 2
2 C Preliminary Final Loser B v Winner A
3 D Grand Final Winner B v Winner C

Assuming that each team has a 50% chance of winning each match, the probability of each team will win the championship is represented in the table.

Team rank Probability
1 37.5%
2 37.5%
3 12.5%
4 12.5%

McIntyre final five system

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Round Match Name Team 1 Team 2
1 A Elimination Final Rank 4 v Rank 5
B Qualifying Final Rank 2 v Rank 3
2 C 2nd Semi Final Loser B v Winner A
D 1st Semi Final Rank 1 v Winner B
3 E Preliminary Final Loser D v Winner C
4 F Grand Final Winner D v Winner E
Team rank Probability
1 37.5%
2 25.0%
3 25.0%
4 6.25%
5 6.25%

First McIntyre final six system

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Round Match Name Team 1 Team 2
1 A 2nd Elimination Final Rank 5 v Rank 6
B 1st Elimination Final Rank 3 v Rank 4
C Qualifying Final Rank 1 v Rank 2
2 D 2nd Semi Final Loser C v Winner A
E 1st Semi Final Winner C v Winner B
3 F Preliminary Final Loser E v Winner D
4 G Grand Final Winner E v Winner F
Team rank Probability
1 25.00%
2 25.00%
3 18.75%
4 18.75%
5 6.25%
6 6.25%

Second McIntyre final six system

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Round Match Name Team 1 Team 2
1 A 2nd Elimination Final Rank 4 v Rank 5
B 1st Elimination Final Rank 3 v Rank 6
C Qualifying Final Rank 1 v Rank 2
2 D 2nd Semi Final Loser C v 2nd highest ranked winner from A, B
E 1st Semi Final Winner C v 1st highest ranked winner from A, B
3 F Preliminary Final Loser E v Winner D
4 G Grand Final Winner E v Winner F
Team rank Probability
1 25.00%
2 25.00%
3 18.75%
4 12.50%
5 12.50%
6 6.25%

McIntyre final eight system

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Round Match Name Team 1 Team 2
1 A 2nd Elimination Final Rank 4 v Rank 5
B 1st Elimination Final Rank 3 v Rank 6
C 2nd Qualifying Final Rank 2 v Rank 7
D 1st Qualifying Final Rank 1 v Rank 8
2 E 2nd Semi Final 4th highest ranked winner from A, B, C, D v 2nd highest ranked loser from A, B, C, D
F 1st Semi Final 3rd highest ranked winner from A, B, C, D v 1st highest ranked loser from A, B, C, D
3 G 2nd Preliminary Final 2nd highest ranked winner from A, B, C, D v Winner F
H 1st Preliminary Final 1st highest ranked winner from A, B, C, D v Winner E
4 I Grand Final Winner G v Winner H
Team rank Probability
1 18.750%
2 18.750%
3 15.625%
4 12.500%
5 12.500%
6 9.375%
7 6.250%
8 6.250%

Other finals systems

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'Super League (Europe)' final six

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This is the top six play-offs system used in Super League (Europe). It is basically the McIntyre final four system with an extra week at the beginning to reduce the bottom four teams to two.

Match Team 1 Team 2
Week 1 A Rank 4 v Rank 5
B Rank 3 v Rank 6
Week 2 C Winner B v Winner A
D Rank 1 v Rank 2
Week 3 E Loser D v Winner C
Week 4 F Winner D v Winner E
Champion Winner F
Team rank Probability
1 37.50%
2 37.50%
3 6.25%
4 6.25%
5 6.25%
6 6.25%

'ARL' final seven

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Match Team 1 Team 2
Week 1 A Rank 2 v Rank 3
B Rank 4 v Rank 5
C Rank 6 v Rank 7
Week 2 D Rank 1 v Winner A
E Loser A v Loser B
F Winner B v Winner C
Week 3 G Winner D v Winner F
H Winner E v Loser D
Week 4 I Winner G v Winner H
Champion Winner I

'ARL' final eight

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According to Matthew O'Neill (http://www.rleague.com/article.php?id=19486), "Back in 1996 the ARL had the perfect Finals setup, which has since been adopted by the AFL with great success. The ARL used a similar model in 1995 but was better in 1996 due to the swapover pool to avoid teams playing each other twice during the Finals, which could have been the case in 1995 except both Brisbane and Cronulla went out the back door."

1995

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This is what actually happened in 1995 rather than the system.

Match Team 1 Team 2
Week 1 A Rank 1 v Rank 4
B Rank 2 v Rank 3
C Rank 5 v Rank 8
D Rank 6 v Rank 7
Week 2 E Loser A v Winner C
F Loser B v Winner D
Week 3 G Winner A v Winner E
H Winner B v Winner F
Week 4 I Winner G v Winner H
Champion Winner I

1996

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Match Team 1 Team 2
Week 1 A Rank 1 v Rank 4
B Rank 2 v Rank 3
C Rank 5 v Rank 8
D Rank 6 v Rank 7
Week 2 E Loser A v Winner D
F Loser B v Winner C
Week 3 G Winner A v Winner F
H Winner B v Winner E
Week 4 I Winner G v Winner H
Champion Winner I

'AFL' final eight (2000 - )

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Match Team 1 Team 2
Week 1 A Rank 1 v Rank 4
B Rank 2 v Rank 3
C Rank 5 v Rank 8
D Rank 6 v Rank 7
Week 2 E Loser A v Winner C
F Loser B v Winner D
Week 3 G Winner A v Winner F
H Winner B v Winner E
Week 4 I Winner G v Winner H
Champion Winner I
Team rank Probability
1 18.75%
2 18.75%
3 18.75%
4 18.75%
5 6.25%
6 6.25%
7 6.25%
8 6.25%

'NBL' final eight (2004 - ) [1]

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Match Team 1 Team 2
Round 1 A Rank 5 v Rank 8
B Rank 6 v Rank 7
Round 2 C Rank 4 v Winner A
D Rank 3 v Winner B
Round 3 E Rank 1 v Winner C
F Rank 2 v Winner D
Round 4 G Winner E v Winner F
Champion Winner G

'NRL' final ten

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Match Team 1 Team 2
Week 1 A Rank 3 v Rank 6
B Rank 4 v Rank 5
C Rank 7 v Rank 10
D Rank 8 v Rank 9
Week 2 E Rank 1 v Winner A
F Rank 2 v Winner B
G Loser A v Winner C
H Loser B v Winner D
Week 3 I Loser E v Winner G
J Loser F v Winner H
Week 4 K Winner E v Winner I
L Winner F v Winner J
Week 5 M Winner K v Winner L
Champion Winner M
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AFL finals system explained (1931-1999) The McIntyre systems used in the Australian Football League [dead link]