My question is this: for those men who would prefer that a woman make the first move because they themselves are too shy or intimidated to do the approaching, would they actually give the woman a chance once she made the first move or would they shy away and avoid her? There is only so much chasing that a person can do before the interrest is lost and that applies to both men and women.
Good point.
If it's just a random girl that I don't even know - then no, I wouldn't give her a chance. If I do know her (and she doesn't have to be friends with me, e.g. she is just in the same class as me), then definitely yes.