In answer to the modified puzzle: If the expected utility of the lie is positive, then yes I would lie to myself, if I were capable of doing so effectively.
There are complications in figuring out the expected utility of the lie (lying to myself may alter my utility), but other than that it’s just a standard form of commitment device. I’d probably search for more effective commitment technology first, but if there’s no better commitment technology available, do it.
In answer to the modified puzzle: If the expected utility of the lie is positive, then yes I would lie to myself, if I were capable of doing so effectively.
There are complications in figuring out the expected utility of the lie (lying to myself may alter my utility), but other than that it’s just a standard form of commitment device. I’d probably search for more effective commitment technology first, but if there’s no better commitment technology available, do it.