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Reference positions and this EPC BS

Posted By: neilkaz
Date: Sunday, 31 March 2013, at 7:14 a.m.

In Response To: cube decision (John O'Hagan)

I know 2 ref pos here...then I have no problem realizing that this is a trivial take ATS since if I recube no matter what I win more matches than if I pass.


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White is Player 1

score: 0
pip: 24
Unlimited Game
Jacoby Beaver
pip: 7
score: 0

Blue is Player 2
XGID=---AAAB-----------------g-:1:-1:-1:00:0:0:3:0:10
Blue on roll, cube action?

Analyzed in XG Roller++ No redouble Redouble/Take
  Player Winning Chances: 74.772% (G:0.000% B:0.000%) 74.772% (G:0.000% B:0.000%)
  Opponent Winning Chances: 25.228% (G:0.000% B:0.000%) 25.228% (G:0.000% B:0.000%)
  Cubeless Equities +0.4954 +0.9909
Cubeful Equities
No redouble:+0.7391 (-0.1778)
Redouble/Take:+0.9168
Redouble/Pass:+1.0000 (+0.0832)
 
Best Cube action: Redouble / Take

eXtreme Gammon Version: 2.10.192.pre-release

Here we have the best position for 6 checkers and 23 pip...and it is a money take...so it is most obvious in the OP position that the doubler is clearly worse off here as the taker's defect from moving 1 checker from the 3 pt to the 4 is clearly less than 1 pip whereas the doubler is losing some doubles and clearly 1 pip worse...ie easy take ATS.





White is Player 1

score: 0
pip: 23
Unlimited Game
Jacoby Beaver
pip: 7
score: 0

Blue is Player 2
XGID=--ABAAA-----------------g-:1:-1:-1:00:0:0:3:0:10
Blue on roll, cube action?

Analyzed in XG Roller++ No redouble Redouble/Take
  Player Winning Chances: 76.840% (G:0.000% B:0.000%) 76.840% (G:0.000% B:0.000%)
  Opponent Winning Chances: 23.160% (G:0.000% B:0.000%) 23.160% (G:0.000% B:0.000%)
  Cubeless Equities +0.5368 +1.0736
Cubeful Equities
No redouble:+0.7742 (-0.2113)
Redouble/Take:+0.9855
Redouble/Pass:+1.0000 (+0.0145)
 
Best Cube action: Redouble / Take

eXtreme Gammon Version: 2.10.192.pre-release

My issues with EPC are not the pip adjustment methods but the later formulas for determining T/P and cubeless winning chances.

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