[pzhon]

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Assuming neither player has an otherwise positional advantage, is it correct for a player with a 1 pip lead to double early?

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In a racing position of 50 pips or more, a good rule of thumb is to double when you are ahead 10% - 2 pips, redouble at 10% - 1 pip, and take up to 10% - 2 pips. In shorter races, the take point moves up a bit. E.g., leading 60-64 double, 60-65 redouble, trailing 60-68 take.

Being on roll is worth about half of an average roll, 4 pips. It is still very wrong to double when you lead by one pip plus the roll in a long race.

The doubling cube is a weapon you can use to magnify your wins. If you double with a tiny advantage, you are magnifying far too many of your losses, too. You could have waited for a more significant advantage to double, in order to double almost all of your wins, but fewer of your losses.