No its not. It's called common sense.
Yes but this thread is about *ahem* "libertarianism".
(of course here is where I should quote Einstein.)
Clearly this what Mr and Mrs Trondheim were thinking about when you were five. Going to trade you off to the Daughter of the Mistress of Mr. Trondheim's boss in exchange for five rupees, when you turned 12. Iirc it was the rage at the time.
Not just ancap (who here is only Bono) but some of the more *ahem* "libertarian" members of the board. Like the one who thinks the federal goverment should hold mandatory searches of all mosques.
Also if you really want to stretch the *ahem* "libertarian" arguement than the answer is obviously yes; as Children are the private property of the parents if they cannot fend for themselves in the free market. And to take the Noo-liberal arguement; then yes is also the answer as to do otherwise serves the hegemonic culture.
But all this shows is how much ideologies; especially fringe ideologies like Ancapism are really just cultural products. And are somewhat difficult to implement universally.