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DQ: Why or why not break the anchor? Rollout of double

Posted By: Timothy Chow
Date: Saturday, 14 February 2015, at 6:49 p.m.

In Response To: DQ: Why or why not break the anchor? Rollout of double (leobueno)

Thanks, Leo. I got around to doing a couple of rollouts myself.

The first position below is the same as yours except that I've changed the score to an unlimited game, to avoid peculiarities associated with the particular score such as the gammon values. Breaking anchor still comes out on top. The interesting thing is that the computer doubles as White after the anchor-breaking play but does not double after the board-breaking play; nevertheless the play that provokes the cube turn comes out ahead.

The second position below is the same as the first position but with Blue owning the cube. Now the two plays are essentially tied. In effect we are "forcing" White to double after either play.






White is Player 2

score: 0
pip: 109
Unlimited Game
pip: 100
score: 0

Blue is Player 1
XGID=-ABCBbB-C--a------bccBb-b-:1:-1:1:65:0:0:0:0:10
Blue to play 65

1.Rollout121/16 21/15eq: -0.599
Player:
Opponent:
37.95% (G:6.89% B:0.26%)
62.05% (G:24.97% B:0.71%)
Conf.: ± 0.012 (-0.611...-0.587) - [100.0%]
Duration: 13 minutes 53 seconds
2.Rollout28/2 6/1eq: -0.655 (-0.056)
Player:
Opponent:
35.27% (G:4.06% B:0.06%)
64.73% (G:14.99% B:0.49%)
Conf.: ± 0.008 (-0.664...-0.647) - [0.0%]
Duration: 6 minutes 14 seconds
1 1296 Games rolled with Variance Reduction.
Rolled for both No double and Double
Dice Seed: 271828
First 3 moves: 3-ply, cube decisions: XG Roller+
Remaining moves: 3-ply, cube decisions: XG Roller

2 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.208.pre-release






White is Player 2

score: 0
pip: 109
Unlimited Game
pip: 100
score: 0

Blue is Player 1
XGID=-ABCBbB-C--a------bccBb-b-:1:1:1:65:0:0:0:0:10
Blue to play 65

1.Rollout18/2 6/1eq: -0.290
Player:
Opponent:
34.75% (G:3.75% B:0.06%)
65.25% (G:14.38% B:0.45%)
Conf.: ± 0.006 (-0.297...-0.284) - [95.8%]
Duration: 5 minutes 15 seconds
2.Rollout121/16 21/15eq: -0.298 (-0.007)
Player:
Opponent:
37.80% (G:6.93% B:0.27%)
62.20% (G:24.64% B:0.68%)
Conf.: ± 0.006 (-0.303...-0.292) - [4.2%]
Duration: 5 minutes 14 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.208.pre-release

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