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Rollout: A not-quite-standard holding game
Posted By: Timothy Chow In Response To: A not-quite-standard holding game (Timothy Chow)
Date: Friday, 12 March 2010, at 4:53 p.m.
The rollout favors 6/4 6/2, by a larger margin than I expected. OTB, I played 7/3*/1, thinking that I would welcome a tempo to clear my midpoint. This is not a huge blunder, but I still have time, and my opponent is starting to run a little short of time himself, so it seems that the greater flexibility of 6/4 6/2 wins out.
Below, I have also included a rollout of the decision I faced on the previous roll, which was also a 4-2. I chose to play 13/7, but again the rollout expresses a slight preference for 6/4 6/2.
Another variant that I'm currently rolling out is to move my blot on the 1-point back a pip to the 2-point, and to change the roll to 4-1. I'll post it here when it's done.
gnubg 141
tchow 102 Position ID: bDvIgAkx3w0GAA Match ID: QQkKAAAAAAAA
# Ply Move Equity • 1 R 6/4 6/2 +0.532
0.769 0.091 0.001 - 0.231 0.028 0.001 +0.601 +0.532 0.001 0.001 0.000 - 0.001 0.001 0.000 0.002 0.002 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 851251993 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 2 R 7/3*/1 +0.499 ( -0.032)
0.747 0.133 0.001 - 0.253 0.035 0.001 +0.591 +0.499 0.001 0.001 0.000 - 0.001 0.001 0.000 0.002 0.003 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 851251993 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class]
gnubg 148
tchow 108 Position ID: rJ1ggQkx3wYHAA Match ID: QQkRAAAAAAAA
# Ply Move Equity • 1 R 6/4 6/2 +0.536
0.767 0.102 0.001 - 0.233 0.030 0.001 +0.607 +0.536 0.001 0.001 0.000 - 0.001 0.001 0.000 0.002 0.003 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 850628571 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 2 R 13/7 +0.522 ( -0.013)
0.759 0.124 0.001 - 0.241 0.037 0.001 +0.605 +0.522 0.001 0.001 0.000 - 0.001 0.001 0.000 0.002 0.003 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 850628571 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class]
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