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BGonline.org Forums
Who Among Us Knows All There Is To Know About How To Play An Opening 32?
Posted By: Timothy Chow In Response To: Who Among Us Knows All There Is To Know About How To Play An Opening 32? (misja)
Date: Wednesday, 20 October 2010, at 3:01 p.m.
misja wrote:
I'm sure someone could construct a sequence of rolls and plays which leads to the opening position again, but I wonder if this is possible with optimal moves by both players?
Looks like you haven't been paying close attention to Nack's answers to these kinds of challenges.
I would go so far as to conjecture that for the vast, vast majority of positions that can be legally reached, there is a sequence of rolls that reaches it with optimal play.
This is a tough conjecture to test since we do not have any way to tell what the optimal move in any given position is. But I think that if you start working seriously on this conjecture then you will start to believe it.
I think people have posted, either here or on rec.games.backgammon, examples of positions where one can show by retrograde analysis that the immediately preceding move must have been played sub-optimally. However, once you can retract a single move then it's typically possible to continue retracting back to a "normal-looking" position without too much difficulty.
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