[XorNot]

Productivity is irrelevant: when you have young children, any given amount of time where you can be awake and functional is incredibly valuable - particularly if it works outside the hours your children sleep.

Like I'll settle for "tired but no accruing sleep debt".

[naming_the_user]

Are we assuming then that you're not treating the children? Because otherwise they just sleep less as well and now you're back to square one.

I suppose you can full dystopia it, go the other way, make them need 12-16 hours a sleep a day whilst you only need 4 ;)

[TeMPOraL]

Not treating the children will only level the playing field. My two daughters, 5yo and 3.5yo, both sleep from "as late as they can get away with" to "about an hour earlier than parents would like to wake up".

Also, whoever came up with the idea of nap hour in kindergartens has a special circle of hell reserved for them.

[XorNot]

I mean I also don't give my son caffeine (because he's 2) so this seems like a reasonable assumption.

Teenagers stay up too late anyway so I'd say this sort of thing would be a good way to hopefully reduce the effects of sleep deprivation.

[rekado]

Teenagers have to get up too early. Teenagers experience a shift in their circadian rhythm and also require more sleep than before puberty. School schedules do not account for this shift.