Apologies if something like this has been suggested: logik but with a backgammon doubling cube.

Players play to a certain number of points - a point a game.
Either player (say player A) has the option of doubling before a move.
If accepted points are doubled, but player B also wins the points if it's a draw.
If player B accepts (and is confident!) he can immediately redouble but in this case points are shared if it's a draw

eg