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Losing market at 2a-2a with optimal play

Posted By: Bob Koca
Date: Thursday, 25 May 2017, at 4:05 p.m.

In Response To: Losing market at 2a-2a with optimal play (Sean Garber)

Your logic does not work. The following is a counterexample to your claim. You may say that such a situation could never come up in backgammon but your attempted proof does not address that.

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Suppose that at the time of B's roll that B's win percentage is 50%. The results of every one of B's rolls maintains the game at 50%. Then on player A's roll it is a one roll position with A either winning or losing with 50% chance of each.

Player B did have a market losing sequence and his opponent the turn before could have had no market losing sequence. However B's choice of no - double is correct (optional double).

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