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Should Blue hit now? -- ROLLOUT and VARIANT

Posted By: Nack Ballard
Date: Saturday, 4 November 2023, at 8:40 p.m.

In Response To: Should Blue hit now? (Nack Ballard)





White is Player 2

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 132
score: 0

Blue is Player 1
XGID=-aa-B-D-C--BdCaA-c-cb-----:1:-1:1:61:0:0:3:0:10
White owns her 5pt: Hitting is a mistake

1.Rollout115/8eq: +0.489
Player:
Opponent:
74.16% (G:12.48% B:0.44%)
25.84% (G:3.73% B:0.13%)
Conf.: ± 0.005 (+0.484...+0.494) - [100.0%]
Duration: 41 minutes 19 seconds
2.Rollout115/14* 14/8eq: +0.453 (-0.036)
Player:
Opponent:
69.89% (G:21.80% B:1.08%)
30.11% (G:5.20% B:0.20%)
Conf.: ± 0.006 (+0.446...+0.459) - [0.0%]
Duration: 43 minutes 15 seconds
1 2592 Games rolled with Variance Reduction.
Dice Seed: 80422172
Moves and cube decisions: 3-ply

eXtreme Gammon Version: 2.10

Even though this variant was my idea, the result surprised me. OTB, I would have hit (15/14*/8) instead of 15/9/8 (no hit), judging that the gain from gammons (and backgammons) would surpass the reduction in wins. Evidently, that is not the case.

Below is a near-facsimile. When White owns her 4pt instead of her 5pt, Black's hitting incentive is swung from a "mistake" to "tied." Backgammon is subtle.

Nack





White is Player 2

score: 0
pip: 160
Unlimited Game
Jacoby Beaver
pip: 132
score: 0

Blue is Player 1
XGID=-aa-B-D-C--BdCaA-c-c-b----:1:-1:1:61:0:0:3:0:10
White owns her 4pt: Hitting is tied

1.Rollout115/8eq: +0.491
Player:
Opponent:
74.32% (G:12.30% B:0.48%)
25.68% (G:3.80% B:0.14%)
Conf.: ± 0.004 (+0.487...+0.495) - [94.6%]
Duration: 1 hour 29 minutes
2.Rollout115/14* 14/8eq: +0.486 (-0.005)
Player:
Opponent:
70.81% (G:22.03% B:1.22%)
29.19% (G:5.10% B:0.18%)
Conf.: ± 0.005 (+0.482...+0.491) - [5.4%]
Duration: 1 hour 34 minutes
1 5184 Games rolled with Variance Reduction.
Dice Seed: 78319492
Moves and cube decisions: 3-ply

eXtreme Gammon Version: 2.10

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