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TG at -2, -2

Posted By: Sam Pottle
Date: Wednesday, 22 October 2008, at 8:38 a.m.

In Response To: TG at -2, -2 (Matt Cohn-Geier)

This is obvious to me, but is it provable?

Sure: if the match equity at -2:-2 is 50%, and I have a strategy that wins 50% from -2:-2, then that strategy is an optimal strategy. QED.

Note that this argument has essentially no backgammon content.

Now, I still have to show you my strategy, and prove that it wins 50% of the time, but that's straightforward. And since the strategy involves doubling at my first legal opportunity, the argument is not affected by funny middlegame positions with a centered cube. The only technical bit of business needed is to show that I can't lose my market before my first opportunity to double.

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