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Rollout + variant

Posted By: Timothy Chow
Date: Wednesday, 28 August 2024, at 3:17 a.m.

In Response To: How's your containment game? Problem 2 (Timothy Chow)

Hitting is an obvious candidate. If we don't hit, then 22/16 3/2 is the main alternative. Playing 3/2 might feel uncomfortable because we're killing a checker, but it's overly optimistic to think we can avoid killing it eventually, and making a four-point board is definitely valuable for containment purposes.

XG prefers 22/16 3/2, and it's because the 16pt and the 2pt are both improvements to our position. If we didn't have a good ace to play, then hitting would probably be better (see the variant below).





White is Player 2

score: 0
pip: 40
Unlimited Game
pip: 128
score: 0

Blue is Player 1
XGID=-BADB----a--B---A---AbBgb-:1:1:1:61:0:0:0:0:10
Blue to play 61

1.Rollout122/16 3/2eq: -0.708
Player:
Opponent:
28.94% (G:0.00% B:0.00%)
71.06% (G:41.32% B:0.14%)
Conf.: ± 0.006 (-0.715...-0.702) - [100.0%]
Duration: 37.0 seconds
2.Rollout116/9* eq: -0.779 (-0.070)
Player:
Opponent:
26.81% (G:0.00% B:0.00%)
73.19% (G:43.61% B:0.56%)
Conf.: ± 0.008 (-0.787...-0.770) - [0.0%]
Duration: 1 minute 04 seconds
3.Rollout116/10 3/2eq: -0.916 (-0.207)
Player:
Opponent:
24.12% (G:0.00% B:0.00%)
75.88% (G:50.03% B:0.39%)
Conf.: ± 0.005 (-0.921...-0.910) - [0.0%]
Duration: 35.0 seconds
4.Rollout122/16 20/19eq: -0.922 (-0.213)
Player:
Opponent:
22.71% (G:0.00% B:0.00%)
77.29% (G:47.84% B:0.16%)
Conf.: ± 0.009 (-0.930...-0.913) - [0.0%]
Duration: 46.6 seconds
 
1 1296 Games rolled with Variance Reduction.
Dice Seed: 62908879
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release


Variant:





White is Player 2

score: 0
pip: 40
Unlimited Game
pip: 130
score: 0

Blue is Player 1
XGID=-BABD----a--B---A---AbBgb-:1:1:1:61:0:0:0:0:10
Blue to play 61

1.Rollout116/9* eq: -0.768
Player:
Opponent:
27.48% (G:0.00% B:0.00%)
72.52% (G:43.48% B:0.56%)
Conf.: ± 0.008 (-0.776...-0.760) - [100.0%]
Duration: 1 minute 22 seconds
2.Rollout122/16 4/3eq: -0.841 (-0.073)
Player:
Opponent:
25.50% (G:0.00% B:0.00%)
74.50% (G:46.53% B:0.18%)
Conf.: ± 0.007 (-0.848...-0.834) - [0.0%]
Duration: 1 minute 05 seconds
 
1 1296 Games rolled with Variance Reduction.
Dice Seed: 62908879
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release

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