[Fairly Long]

I didn't realise there were so many problems with the Halving Rule/Lowest Wins resolution until I did some calculations.

The following were calculated with the following rules:

1. Two loops 1 to 100 to capture all possible dice roll combinations.

2. Better Level Wins (Critical beats Success, Success beats Failure)

3. On a level tie, either highest or lowest roll wins, depending on rules

4. On two Failures, they may tie, or use the highest/lowest roll wins, depending on the rules

5. It can take into account criticals, depending on the rules

The results are in the following format:

Player/Skill/Modified Skill/Wins/Percentage Wins

Resolution Rules - Which rules I am using

Win Order - Levels on the left beat levels further to the right

Resolution Rules:

Lowest Wins - on the same success level, the lowest roll wins

Highest Wins - on the same success level, the lowest roll wins

Restricted Levels - Only take into account Success/Failure

All levels - Take into account Criticals as well

Tie on 2 Failures - if both fail then the result is a tie

No Tie on Failures - if both fail then use highest/lowest roll for winner

So, looking at them:

1. Having a tie on 2 failures cuts down victories for the lower skill.

2. Using Lowest Roll Wins favours the lower skill by a fair amount

3. Including criticals doesn't really alter the results, except by the odd percentile

So, for it to balance properly, you probably need Highest Wins and Two Failures Tie, the combination of which means that considerably higher skills win considerably more often.

I hadn't realised it was broken so badly. So much for my gut feeling that it would work well.

(4 skill combinations, 8 rule combinations per skill combo means 32 results to look at, sorry about that).

Player Base Modified Wins %age

1 : 300% 75% 6190 62%

2 : 80% 20% 1790 18%

Resolution Rules:Lowest Wins,Restricted Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 300% 75% 6490 65%

2 : 80% 20% 3465 35%

Resolution Rules:Lowest Wins,Restricted Levels,No tie on Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 300% 75% 6205 62%

2 : 80% 20% 1780 18%

Resolution Rules:Lowest Wins,All Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 300% 75% 6505 65%

2 : 80% 20% 3455 35%

Resolution Rules:Lowest Wins,All Levels,No tie on Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 300% 75% 7290 73%

2 : 80% 20% 690 7%

Resolution Rules:Highest Wins,Restricted Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 300% 75% 8965 90%

2 : 80% 20% 990 10%

Resolution Rules:Highest Wins,Restricted Levels,No tie on Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 300% 75% 7270 73%

2 : 80% 20% 715 7%

Resolution Rules:Highest Wins,All Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 300% 75% 8945 89%

2 : 80% 20% 1015 10%

Resolution Rules:Highest Wins,All Levels,No tie on Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 5280 53%

2 : 80% 40% 3180 32%

Resolution Rules:Lowest Wins,Restricted Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 5580 56%

2 : 80% 40% 4355 44%

Resolution Rules:Lowest Wins,Restricted Levels,No tie on Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 5286 53%

2 : 80% 40% 3177 32%

Resolution Rules:Lowest Wins,All Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 5586 56%

2 : 80% 40% 4352 44%

Resolution Rules:Lowest Wins,All Levels,No tie on Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 6680 67%

2 : 80% 40% 1780 18%

Resolution Rules:Highest Wins,Restricted Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 7855 79%

2 : 80% 40% 2080 21%

Resolution Rules:Highest Wins,Restricted Levels,No tie on Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 6657 67%

2 : 80% 40% 1806 18%

Resolution Rules:Highest Wins,All Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 7832 78%

2 : 80% 40% 2106 21%

Resolution Rules:Highest Wins,All Levels,No tie on Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 7135 71%

2 : 10% 5% 485 5%

Resolution Rules:Lowest Wins,Restricted Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 7435 74%

2 : 10% 5% 2535 25%

Resolution Rules:Lowest Wins,Restricted Levels,No tie on Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 7153 72%

2 : 10% 5% 471 5%

Resolution Rules:Lowest Wins,All Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 7453 75%

2 : 10% 5% 2521 25%

Resolution Rules:Lowest Wins,All Levels,No tie on Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 7485 75%

2 : 10% 5% 135 1%

Resolution Rules:Highest Wins,Restricted Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 9535 95%

2 : 10% 5% 435 4%

Resolution Rules:Highest Wins,Restricted Levels,No tie on Failures

Win Order (Leftmost Wins):Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 7431 74%

2 : 10% 5% 193 2%

Resolution Rules:Highest Wins,All Levels,Tie on 2 Failures

Win Order (Leftmost Wins):Critical,Success,Failure

Player Base Modified Wins %age

1 : 150% 75% 9481 95%

2 : 10% 5% 493 5%

Resolution Rules:Highest Wins,All Levels,No tie on Failures

Win Order (Leftmost Wins):Critical,Success,Failure