The air gaspers (in large passenger aircraft) above the passengers' heads are fed from the main air conditioning system, at least in all aircraft that I am familiar with (see also this answer). This design probably makes sense, as it's very simple (no moving parts other than the gaspers) and takes advantage of a system which is already installed in the aircraft to provide additional functionality.
Still, I'm curious:
- have other designs for individually adjustable passenger ventilation been tried (i.e. installed in large passenger aircraft), and why were they abandoned in favour of the current design? Off the top of my head I can think of a system with little fans above each seat - although it's probably far more prone to breaking than the current system.
- Some cars have individual climate control (where the air supplied to each occupant can have a different temperature), has that ever been tried on a large commercial aircraft?