I don't have kids but I can talk about my dad.

For all the regular purposes like transport, school fee, repairing the vehicle etc. he gave a little more than required, he knew how much it cost but still let me keep the rest. That was enough to hang out with friends, go to movies (it was cheap back then), a little snack here and there. For anything bigger than that I would ask him and he'd mostly say yes. But never encouraged regular allowance on a monthly/weekly basis.

We weren't affluent, I had to be a little conservative on my expenditure. Was also taught early that you should do/buy four things that you need and one thing that you want.

For better or worse I think this made me more responsible than others who grew up with me.