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Not quite

Posted By: Nack Ballard
Date: Thursday, 22 June 2017, at 6:30 p.m.

In Response To: One more (Bob Koca)





White is Player 2

score: 0
pip: 115
Unlimited Game
Jacoby Beaver
pip: 109
score: 0

Blue is Player 1
XGID=-ABBbD------bF----abbbbb--:0:0:-1:00:0:0:3:0:10

White on roll: Double anyway


Analyzed in Rollout No double Double/Take
Player Winning Chances: 63.08% (G:19.18% B:0.16%) 63.49% (G:20.79% B:0.20%)
Opponent Winning Chances: 36.92% (G:1.92% B:0.04%) 36.51% (G:2.17% B:0.05%)
Cubeless Equities +0.436 +0.915
Cubeful Equities
No double:+0.614 (-0.011)±0.005 (+0.609..+0.619)
Double/Take:+0.625±0.007 (+0.619..+0.632)
Double/Pass:+1.000 (+0.375)
Best Cube action: Double / Take
Rollout details
5184 Games rolled with Variance Reduction.
Dice Seed: 41086525
Moves and cube decisions: 4-ply
Double Decision confidence:99.7%
Take Decision confidence:100.0%
Duration: 1 hour 25 minutes

Thanks for the reference; I hadn't seen that "Wisecarver Paradox" thread.

AP's "Wisecarver Paradox" position doesn't quite pass muster. After Blue plays the terrible 6/5 6/1 (instead of the much better but shot-leaving 13/7), White should double anyway, according to the rollout above.

As for the issue of whether a cube provocation play should be classified as a paradox, I like Tim Chow's answer (as does Jake Jacobs). Granted, the contact version of the Wisecarver Paradox arises more often than other paradoxes (including as early as the fourth roll for money or as the second roll if certain match scores are included), though I wouldn't characterize it as frequent.

Nack

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