If you remember your choice, then there’s no reason to ever choose ‘wake me up only at X’. If you wake up only at X, then you will either take action to turn off and score 0 points, or you will go back to sleep and continue to C and score 1 point.
0 or 1 is pretty bad, since you could then do better just by randomly picking from A, B, or C (as (1/3)*1 + (1/3)*4 + (1/3)*0 = 1.6...). Eliminating one branch entirely eliminates the problem.
I think it must’ve.
If you remember your choice, then there’s no reason to ever choose ‘wake me up only at X’. If you wake up only at X, then you will either take action to turn off and score 0 points, or you will go back to sleep and continue to C and score 1 point.
0 or 1 is pretty bad, since you could then do better just by randomly picking from A, B, or C (as (1/3)*1 + (1/3)*4 + (1/3)*0 = 1.6...). Eliminating one branch entirely eliminates the problem.