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interests / rec.games.backgammon / A construction problem

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o A construction problempeps...@gmail.com

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A construction problem

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Subject: A construction problem
From: pepste...@gmail.com (peps...@gmail.com)
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 by: peps...@gmail.com - Tue, 3 May 2022 13:45 UTC

The problem is this:
Construct a position in money backgammon where A has the cube and:
1) If A doubles, B does not lose equity by taking.
2) If the cube was ignored and the position played as in DMP,
B's winning probability is minimized subject to the constraint of 1).

The best I can do is give both players one checker on their 6 point,
and no other checkers. That works by maximizing the recube vig.
That leads to a value of 18.75%.

If all A's wins are singles and all B's wins are gammons, then the takepoint
is 1/6, but it might be difficult to approach that idealised figure with an
actual position.

Paul

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