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Rollout ATS and for money

Posted By: Timothy Chow
Date: Thursday, 16 October 2014, at 12:19 a.m.

In Response To: Gammons, gammons, gammons! (Timothy Chow)

The comments have suggested other positions that I may roll out and post later, but this is what I have for now.

The rollouts below favor 13/11 for money and 7/5 ATS. 13/11 loses more cubeless gammons so one might naively think that it is more plausible ATS than for money, but the key point is that after 13/11, a White dance is a very efficient cube for money but way overkill ATS, so the gain/risk tradeoff of 13/11 doesn't fare well ATS.

Also it's perhaps worth remarking that even though White is leading in the match, her gammon value on a 2-cube is slightly elevated, as one might suspect since 4 points take her to Crawford. One can't blindly assume that the match leader's gammon value is depressed.





White is Player 1

score: 2
pip: 129
7 point match
pip: 119
score: 0

Blue is Player 2
XGID=--BBaCBB----bB-c-c-bbBb---:0:0:1:32:0:2:0:7:10
Blue to play 32

1.Rollout17/5 7/4* eq: +0.233
Player:
Opponent:
49.01% (G:21.55% B:0.17%)
50.99% (G:9.08% B:0.53%)
Conf.: ± 0.015 (+0.219...+0.248) - [100.0%]
Duration: 14 minutes 22 seconds
2.Rollout113/11 7/4* eq: +0.202 (-0.031)
Player:
Opponent:
49.65% (G:21.71% B:0.29%)
50.35% (G:12.05% B:0.65%)
Conf.: ± 0.010 (+0.192...+0.212) - [0.0%]
Duration: 8 minutes 57 seconds
3.Rollout17/4* 4/2eq: +0.170 (-0.063)
Player:
Opponent:
49.88% (G:19.77% B:0.17%)
50.12% (G:10.21% B:0.56%)
Conf.: ± 0.014 (+0.156...+0.184) - [0.0%]
Duration: 13 minutes 55 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10, MET: Kazaross XG2


For money:





White is Player 1

score: 0
pip: 129
Unlimited Game
pip: 119
score: 0

Blue is Player 2
XGID=--BBaCBB----bB-c-c-bbBb---:0:0:1:32:0:0:0:0:10
Blue to play 32

1.Rollout113/11 7/4* eq: +0.165
Player:
Opponent:
49.77% (G:21.46% B:0.22%)
50.23% (G:12.00% B:0.56%)
Conf.: ± 0.008 (+0.156...+0.173) - [100.0%]
Duration: 9 minutes 08 seconds
2.Rollout17/5 7/4* eq: +0.087 (-0.077)
Player:
Opponent:
48.99% (G:21.52% B:0.20%)
51.01% (G:8.98% B:0.37%)
Conf.: ± 0.017 (+0.070...+0.105) - [0.0%]
Duration: 13 minutes 12 seconds
3.Rollout17/4* 4/2eq: +0.086 (-0.079)
Player:
Opponent:
49.90% (G:19.11% B:0.19%)
50.10% (G:10.14% B:0.58%)
Conf.: ± 0.012 (+0.074...+0.097) - [0.0%]
Duration: 13 minutes 09 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10

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