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Backgammon => Backgammon problems => Topic started by: sixty_something on October 26, 2008, 07:12:13 PM

Poll
Question:  Same position, RED to play, down 0-3 in a 7-point match. What are the proper cube decisions?
Option 1: No double
Option 2: Double, take
Option 3: Double, pass
Option 4: Too good to cube, pass if offered
Title: Cube 117 - From off the bar II
Post by: sixty_something on October 26, 2008, 07:12:13 PM
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GNUbg says the correct actions are
Spoiler

This is the same position as in Cube 116, the only difference is the match score, now 0-3, rather than 0-2. I also reset the score to 0-4 and 0-5 getting a similar result - "Too good to cube." Since RED with one off already is in no danger of being gammoned for the match, the different evaluation must be the result of a possible redouble by WHITE to match point, if accepted. While this may just be an evaluation anomoly, I found the different results surprising and worthy of a pair of problems.

Cube analysis (RED to play)
0-ply cubeless equity  +0.605 (Money:  +0.598)
  0.695 0.205 0.003 - 0.305 0.000 0.000

Cubeful equities:
1. No double            +2.120
2. Double, take         +2.356  ( +0.235)
3. Double, pass         +1.000  ( -1.120)
Proper cube action: Too good to double, pass (82.6%)

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you may enter the ID's below into GNUbg or Snowie to evaluate your answer:

Position ID: 250BgkC7twEAIA   Match ID: MAHgAAAAGAAA
               
Artists who seek perfection in everything are those who cannot attain it in anything.
-- Eugene Delacroix French Romantic painter (1798 - 1863)
Title: Re: Cube 117 - From off the bar II
Post by: playBunny on October 28, 2008, 11:16:49 AM
Hmmm, I get a different analysis using the match and position ids given.

Spoiler

Cube analysis
2-ply cubeless equity  +0.635 (Money:  +0.604)
   69.2%  21.7%   0.3% -  30.8%   0.0%   0.0%

Cubeful equities:
1. Double, pass         +1.000
2. Double, take          +1.129  ( +0.129)
3. No double             +0.842  ( -0.158)
Proper cube action: Double, pass

(This is 2-ply but the 0-ply result agrees with it being double/pass)
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Title: Re: Cube 117 - From off the bar II
Post by: sixty_something on October 28, 2008, 05:14:02 PM
Hmmmm, indeed. When I entered the Position/Match ID's I got a similar 2-ply result to yours .. like I said, this may be an evaluation anolmoly .. here are the results I obtained at 2-ply, 0-ply, and after a Rollout with GNUbg

Spoiler

All suggest Double, pass as the preferred play. Not the different result I obtained on my first evaluation.

Cube analysis
2-ply cubeless equity  +0.630 (Money:  +0.604)
  0.692 0.217 0.003 - 0.308 0.000 0.000

Cubeful equities:
1. Double, pass         +1.000
2. Double, take         +1.110  ( +0.110)
3. No double            +0.838  ( -0.162)
Proper cube action: Double, pass


Cube analysis
0-ply cubeless equity  +0.623 (Money:  +0.598)
  0.695 0.205 0.003 - 0.305 0.000 0.000
Cubeful equities:
1. Double, pass         +1.000
2. Double, take         +1.091  ( +0.091)
3. No double            +0.879  ( -0.121)
Proper cube action: Double, pass


Cube analysis
Rollout cubeless equity  +0.665 (Money:  +0.640)

Cubeful equities:
1. Double, pass         +1.000
2. Double, take         +1.322  ( +0.322)
3. No double            +0.848  ( -0.152)
Proper cube action: Double, pass

Rollout details:
Centered 1-cube:
  0.714 0.209 0.003 - 0.286 0.000 0.000 CL  +0.665 CF  +0.848
[0.001 0.001 0.000 - 0.001 0.000 0.000 CL   0.002 CF   0.003]
Player Me owns 2-cube:
  0.731 0.215 0.003 - 0.269 0.000 0.000 CL  +1.475 CF  +1.322
[0.001 0.001 0.000 - 0.001 0.000 0.000 CL   0.005 CF   0.007]
Truncated cubeful rollout (depth 11) with var.redn.
1296 games, Mersenne Twister dice gen. with seed 808408639 and quasi-random dice
Play: 0-ply cubeful prune [expert]
Cube: 0-ply cubeful prune [expert]

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