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Desperate times

Posted By: Timothy Chow
Date: Saturday, 15 July 2023, at 12:06 p.m.

In Response To: Desperate times (Matt Cohn-Geier)

Yes, the mere existence of a gap is not the point. We are trying to minimize EPC, or to minimize wastage. My point is that a good general heuristic for minimizing wastage is to think of checkers on point 2n as (partially) having the job of filling gaps on point n when you roll n.

Below is another random example I generated on the spot. How do we play the 2? It's intuitive that we shouldn't stack up, but do we play 3/1 or 4/2? My heuristic says to play 4/2. It's the same number of gaps either way, but 4/2 leaves us with a lower EPC, and is also the right play.

I'm not saying that the heuristic always works (EPC itself is a heuristic that doesn't always work), but I find that it works often enough to be useful.





White is Player 2

score: 0
pip: 24
Unlimited Game
pip: 24
score: 0

Blue is Player 1
XGID=---AAAB------------baaa---:1:-1:1:62:0:0:0:0:10
Blue to play 62

1.XG Roller++6/Off 4/2eq: +0.304
Player:
Opponent:
67.61% (G:0.00% B:0.00%)
32.39% (G:0.00% B:0.00%)
2.XG Roller++6/Off 3/1eq: +0.288 (-0.016)
Player:
Opponent:
67.00% (G:0.00% B:0.00%)
33.00% (G:0.00% B:0.00%)
3.XG Roller++6/4 6/Offeq: +0.274 (-0.030)
Player:
Opponent:
66.31% (G:0.00% B:0.00%)
33.69% (G:0.00% B:0.00%)
4.XG Roller++6/Off 5/3eq: +0.270 (-0.034)
Player:
Opponent:
66.09% (G:0.00% B:0.00%)
33.91% (G:0.00% B:0.00%)

eXtreme Gammon Version: 2.19.211.pre-release

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