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Rollout and variants

Posted By: Fabrice Liardet
Date: Thursday, 31 March 2011, at 12:39 p.m.

In Response To: Rollout and variants (Timothy Chow)

Nobody mentioned the score. Rule of thumb is that checker play at 3a3a is the same as for money, except possibly when there's an imminent cube turn. However, another exception sometimes occurs when the checker-play decision hinges on a win/gammon tradeoff, since the gammon value at 3a3a is elevated. Here, the pseudocubeless numbers suggest that anchoring results in noticeably fewer net gammon losses while 13/8 doesn't win a lot more games. My rollouts aren't long enough to settle the matter completely but they seem to indicate that the two plays are closer for money than they are at 3a3a.

The gammon value at 3a3a is not elevated in my book ( http://www.pion.ch/backgammon/score_card.php?me=3&opp=3&pc=0 ). The difference I see is that redoubled gammons are worthless, which means that a play that increases both gammons won and gammons lost (13/8) is, comparatively with money play, good for the favourite (White).

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