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Making the ace wins more gammons!

Posted By: Timothy Chow
Date: Monday, 17 October 2011, at 9:59 p.m.

In Response To: Making the ace wins more gammons! (Casper van der Tak)

It's not clear whether the "top" play here is really best, but if it is, my guess is that it's not because you actually want to get hit, but that you want to hit the third checker, and at the same time make the ace point as quickly as possible by slotting it.

It should be possible to test my conjecture by devising suitable variants. For example, let's say we move a checker from the midpoint to the bar point in the original position. Presumably, if you want to get hit, you'll play something like 21/15* 13/7 13/1 or 21/15* 13/1 12/6. If you don't want to get hit then presumably you'll play 21/15* 13/1 7/1.

Of course even if this experiment works out the way I conjecture it will, that doesn't necessarily prove that my conjecture is correct, because maybe there is another explanation. E.g., maybe we really do want to get hit in the original position, but if we give ourselves 6 extra pips as in the variant, then we don't have the time for such nonsense. This again should be testable, though it would require more ingenuity.

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