I don't see how market support could be a verb, though the participle as adjective is OK-- a market-supported economy (I don't guarantee that that makes sense, however). I think you'll have to use the market supports/will support /etc (that is, support is a verb, of course, but market must be the subject) and its passive form, X is supported by the market .
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.