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A simple ace pt game***RO***

Posted By: Daniel Murphy
Date: Saturday, 19 November 2011, at 7:43 a.m.

In Response To: A simple ace pt game***RO*** (Dmitriy Obukhov)

With similar results, here's a Gnubg 2-ply rollout, 2592 trials. Below that is a table of the actual rollout results after No Double. Of particular interest, after No Double (1) Blue actually won slightly more than 84% of all games and (2) in only 21.5% of all games was Blue or White able to give a takable double later.

The score (after 0 games) is: White 1, Blue 5 (match to 7 points). Blue on roll

White134

 '1X1X3X3X2X ' ' ' ' '2O

2X2O '2O3O2O2O2O1X ' '2X
Blue95
Position ID: 6m7ACDBmtw0GAA Match ID: cAngABAAKAAE

Alert: wrong double ( -0.0307)! [doubtful]

Cube decision
Rollout cubeless equity +0.8792(Money: +0.8963)
Cubeful equities:
1.No double +0.9564
2.Double, pass +1.0000 +0.0436
3.Double, take +0.9257 -0.0307
Proper cube action:No double, take (41.3%)
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.78690.25340.0848-0.21310.01510.0006 +0.8792 +0.9564
Standard error0.00110.00310.0035-0.00110.00050.0001 0.0036 0.0047
Player White owns 2-cube0.77750.38430.1226-0.22250.01350.0024 +1.4794 +0.9257
Standard error0.00130.00590.0042-0.00130.00050.0008 0.0066 0.0099
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 938452126 and quasi-random dice
Play: world class 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

WIN STATISTICS for NO DOUBLE (2592 trials)

Cube ValueW Wins SW wins GW wins BGB wins SB wins G
1 157 2 0 1483 393
2 164 12 1 156 0
4 70 1 0 153 0
Total 391 15 1 1792 393
15.08% 0.58% 0.04% 69.13% 15.16%

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