Trouble in the extremes - Tourney Scoring

Trouble in the extremes - Tourney Scoring
There seems (to me) to be bug bears with each scoring system.
With each system having fan base and haters.
I am loving the move towards scenario scoring.
I think with upset I had with a couple of people winning 1 out of 4 games, but scoring higher than a couple that won 2 out of 4 games. 
I wanted to explore the edge cases a bit further to work out if there was a system that this could not happen in, and it seems no, any system that combines, Result, scenario and Kill/attrition scoring into a single round score, can fall intentionally or unintentionally to this.
The screw balls are in the extreme scores.
Just for Awareness, a single Max win is very hard to beat, esp if the subsequent loses are max bonus all the way.
So I wanted to work out some of the pros and cons for each system.

Clash of kings 17/18 Attrition system

Win 15 pts
Draw 10 pts
Lose 5 pts
Attrition +/-0 to 5pts

Max / min scores for each result

• Win 20 / 10
• Draw 15 / 5
• Lose 10 / 0

4 round example:

• 1 Big Win (Max points), 3 just lost (max points) 50
• 2 Just wins (Raw points), 2 just lost (Raw points) 40
• 2 Just wins (Raw points), 2 big lost (min Points) 30
• 4 Just wins (heavy negative attrition) 40

The gap

• 10 pt gap between 1 max win, 3 max point lose and 2 Scrapped wins and 2 scrapped loses
• 20 pt gap between 1 max win, 3 max point lose and 2 Scrapped wins and 2 big loses

Pro

• Standard scoring system
• Wins always score more than or (at least the same as a loss - extreme is a win with heavy unit loss scoring 10/10)

Con

Heavily rewards kill, every scenario is also Kill
A Scraped win scores and is ranked the same as a full VP win
A Draw can score more than a win
A win can score the same as a lose
Over course of tournament a person can rank higher with a single big win than with 2 wins

System Summary

Emphasis Killing - all scenarios are Kill
Over course of tournament a person can rank higher with a single big win than with 2 or more wins.

Northern Kings and Cold Up North system

Win 15 pts
Draw 10 pts
Lose 5 pts
VP 0 to 5pts
Kill 0 to 5pts

Max / min scores for each result

• Win 25 15
• Draw 20 10
• Lose 15 5

4 round extreme result 

• 1 Big Win (Max points (25)), 3 just lost (max points (15x3)) 70
• 2 Just wins (Raw points (16x2)), 2 just lost (max points (15x2)) 72
• 2 Just wins (Raw points (16x2)), 2 big lost (min Points (5x2)) 42
• 3 Just wins (16x3), 1 big loss (5) 53
• 4 Just wins (16x4) 64

The gap

28 pt gap between 1 max win, 3 max point lose and 2 Scrapped wins and 2 heavy loses
17 pt gap between 1 max win, 3 max point lose and 3 Scrapped wins with a big loss
4 pt gap between 1 ma win, 3 max point lose and 4 scrapped wins

Pros

Scenario scoring is king, bigger scenario wins rewarded higher than just won

Con

Can get higher scoring in a 4 round for 1 good win and 3 just loss than for 2 just wins and 2 heavy losses and even 4 just wins.
Both winner and lose can score the same Scenario VP
Equally rewards kill, every scenario is also Kill
A Draw can score more than a win

System Summary

Emphasis on Scenario and Killing - all scenarios are still Kill, but with also scoring for Scenario points
Over course of tournament a person can rank higher with a single big win than with 2 or more wins

Blackjack system

Win 14 pts
Draw 10 pts
Lose 7 pts
Scenario +/-0 to 4pts
Attrition +/-0 to 3pts

Max / min scores for each result

• Win 21 / 11
• Draw 13 / 7
• Lose 10 / 0

If a draw on points:

• The players are ordered by Attrition

4 round example:

• 1 Big Win (Max points), 3 just lost (max points) 51
• 2 Just wins (Raw points), 2 just lost (max points) 42
• 2 Just wins (Raw points), 2 big lost (min Points) 22
• 4 just wins 44

The gap

• 9 pt gap between 1 max win, 3 max point lose and 2 Scrapped wins and 2 scrapped loses
• 23 pt gap between 1 max win, 3 max point lose and 2 Scrapped wins and 2 big loses

Pros

Scenario scoring is king, bigger scenario wins rewarded higher than just won, and rewards higher than purely just winning and killing

Con

Can get higher scoring in a 4 round for 1 good win and 3 just loss than for 2 just wins and 2 heavy losses
Limited reward for kill, every scenario is still Kill
A Draw can score more than a win

System Summary

Emphasis on Scenario and Killing - all scenarios are still Kill, but with also scoring for Scenario points
Over course of tournament a person can rank higher with a single big win than with 2 or more wins

Herts system (football)

Win 3 pts
Draw 1 pts
Lose 0 pts

If a draw on points:

• The players are ordered by Scenario points scored then by Attrition

4 round example:

• 1 Big Win (Max points), 3 just lost (max points) 3
• 2 Just wins (Raw points), 2 just lost (Raw points) 6
• 2 Just wins (Raw points), 2 big lost (min Points) 6

Pros

Most wins is always above Draws and losses regardless of how far won by.

Cons

Lots of people scoring the same, so reliant on scenario score and attrition being tracked (but not scored)

System Summary

Winning is king, at no point can someone with less wins than anther player be ranked higher

Summary

So it then comes down to what is a Tournament score for.
Rough temp check is that Winning is king, and more wins should trump regardless of by how much.
The cleanest system for this is Herts, as all the other systems a win could score the same or worse than a loss.
Now is this because we (KoW Community/TOs) want to see a simplified scoring that does not require filtering on other values?
Remembering that the only reason for scoring within the tournament is to rank players for each round and for the end rankings.
Possible clean system that still ranks scenario scoring before attrition could be developing on each system.

Adjusted Herts

Win 3 pts
Draw 1 pts
Lose 0 pts

If a draw on points:

• The players are ordered by Scenario point’s difference
• If still draw, players are ordered by Attrition (Kill difference)
• If still draw, players are ordered by Scenario points gained
• If still draw, players are ordered by Routed (Opponents Killed)

This would then still rate wins as king, but rank with scenario scores in mind for drawn points
4 round example:

• 1 Big Win (Max points), 3 just lost (max points) 3
• 2 Just wins (Raw points), 2 just lost (Raw points) 6
• 2 Just wins (Raw points), 2 big lost (min Points) 6

Adjusted Blackjack

Win 15 pts
Draw 10 pts
Lose 6 pts
Scenario +/-0 to 4pts
Attrition +/-0 to 2pts (set at 1pt for 50% and 75% of army points kill difference, i.e. at 2K game kill difference of => 1K and 1500)

Max / min scores for each result

• Win 21 / 13
• Draw 12 / 8
• Lose 8 / 0

If a draw on points:

• The players are ordered by Attrition
• If still draw, players are ordered by Scenario points gained
• If still draw, players are ordered by Routed (Opponents Killed)

4 round example:

• 1 Big Win (Max points), 3 just lost (max points) 45
• 2 Just wins (Raw points), 2 just lost (Raw points) 42
• 2 Just wins (Raw points), 2 big lost (min Points) 30

Pros
Win will always score more than losing or drawing.
Scoring is king, bigger scenario wins rewarded higher than just won, and rewards higher than purely just winning and killing
Con
Draw can score same as win
Over course of tournament a person can still rank higher with a single big win than with 2 wins

Adjusted Northern kings system

Win 18 pts
Draw 10 pts
Lose 5 pts
VP 0 to 4 pts
Kill 0 to 3 pts

Max / min scores for each result

• Win 25 17
• Draw 20 10
• Lose 12 5

If a draw on points:

• The players are ordered by Attrition

4 round extreme result 

• 1 Big Win (Max points (25)), 3 just lost (max points (12x3)) 61
• 2 Just wins (Raw points (19x2)), 2 just lost (max points (12x2)) 62
• 2 Just wins (Raw points (19x2)), 2 big lost (min Points (5x2)) 48
• 3 Just wins (19x3), 1 big loss (5) 62
• 4 Just wins (19x4) 76

Pros
Win will always score more than a lose
Con
Draw can score more than win
Over course of tournament a person can rank higher with a single big win than with 2 wins

Roulette Scoring

New system with 0 to 37 scoring. Yep those are high numbers.

• Win 30
• Draw 15
• Lose 0
• Scenario points to +4 MAX (No Negative bonus points and both win and lose can gain)
• Kills +3 (Event Army totals: 75%, 50%, 25%) (No Negative bonus points and both win and lose can gain)

Result Max Min

• Win 37 30
• Draw 22 15
• Lose 7 0

4 round extreme result 

• 1 Big Win (Max points), 3 just lost (max points) 58
• 2 Just wins (Raw points), 2 just lost (Raw points) 62
• 2 Just wins (Raw points), 2 big lost (min Points) 62
• 3 Just wins (Raw points), 1 just lost (Raw points) 93

1 win DOES NOT and CANNOT beat 2 or more wins

Agent47 Scoring

Or if you want positive and negative bonus points then, presenting 

• Win 40
• Draw 20
• Lose 0
• Scenario difference to +/-3 MAX (can be aligned to 3 using blackjack style)
• Kills +/-3 (Event Army totals: 75%, 50%, 25%) 

Result Max Min

• Win 46 40
• Draw 26 14
• Lose 6 -6

4 round extreme result 

• 1 Big Win (Max points), 3 just lost (max points) 64
• 2 Just wins (Raw points), 2 just lost (Raw points) 80
• 2 Just wins (Raw points), 2 big lost (min Points) 68
• 3 Just wins (Raw points), 1 just lost (Raw points) 120

1 win DOES NOT and CANNOT beat 2 or more wins

Conclusion

If winning is everything then including scenario and/or Attrition scores can create scenarios where the person with lower wins is ranked higher than others with more wins.
The issue is in the extremes.
These are known issues with each system, some have higher chances than others, but every system bar Herts has this issue.
If for your tournament Winning is king, scenario scoring and Attrition can still count, but as deciders.
i.e. a simple sort macro to sort so that:

• If Draw, Scenario points difference
• If Draw, Attrition (Kill difference)
• If Draw, Total Scenario VP

Note this is not saying other systems are invalid, but you should be aware of limitations and oddities within each. Especially at the extreme ends of the scoring.
These extreme scores are then amplified further if Painting/Sports etc are included in the Tournament points.
Again this is not necessarily wrong, but it is wrong to go into or set these scoring mechanic’s without understanding the extremes of the scoring and the potential “upsets” these can cause.