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Rollout: Containment play #1

Posted By: Timothy Chow
Date: Friday, 10 September 2010, at 12:41 a.m.

In Response To: Containment play #1 (Timothy Chow)

I like Casper's explanation. The rollout corroborates his claim that 17/12 9/5 is best. Hitting doesn't work so well when White can enter relatively easily and Blue's army is still so far back (not to mention leaving a direct shot against White's four-point board).

Not sure if the four plays below (GNU 2-ply's top 4 choices) are really the four best plays but I doubt that anything else will be better than 17/12 9/5.

gnubg	56
tchow	159
Position ID: 7+4BAATMRphtAA Match ID: UQkWADAAGAAA

#		Ply	Move	Equity
•	1	R	17/12 9/5	+0.114
			0.535 0.033 0.001 - 0.465 0.269 0.000 -0.165 +0.114 0.002 0.001 0.000 - 0.002 0.002 0.000 0.004 0.007
			Full cubeful rollout with var.redn.
			1296 games, Mersenne Twister dice gen. with seed 895194084 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	17/12 13/9	+0.062 ( -0.052)
			0.527 0.031 0.001 - 0.473 0.298 0.001 -0.212 +0.062 0.002 0.001 0.000 - 0.002 0.002 0.000 0.004 0.007
			Full cubeful rollout with var.redn.
			1296 games, Mersenne Twister dice gen. with seed 895194084 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]
	3	R	13/4*	+0.056 ( -0.058)
			0.529 0.034 0.001 - 0.471 0.325 0.001 -0.233 +0.056 0.002 0.001 0.000 - 0.002 0.002 0.000 0.005 0.008
			Full cubeful rollout with var.redn.
			1296 games, Mersenne Twister dice gen. with seed 895194084 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]
	4	R	13/9 13/8	+0.003 ( -0.111)
			0.512 0.032 0.001 - 0.488 0.320 0.000 -0.265 +0.003 0.002 0.001 0.000 - 0.002 0.002 0.000 0.004 0.007
			Full cubeful rollout with var.redn.
			1296 games, Mersenne Twister dice gen. with seed 895194084 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]

Messages In This Thread

• Containment play #1
  Timothy Chow -- Thursday, 9 September 2010, at 2:19 a.m.
  • Containment play #1
    Casper van der Tak -- Thursday, 9 September 2010, at 2:52 a.m.
    • Containment play #1
      John O'Hagan -- Thursday, 9 September 2010, at 3:14 a.m.
  • Rollout: Containment play #1
    Timothy Chow -- Friday, 10 September 2010, at 12:41 a.m.