Decisive guys chasing women...?

Do you think decisive, confident, good-looking guys will chase a woman when they they fancy her, no-matter what? If this sort of guy doesn't pursue the woman he has indicated he fancies, does this mean he is not that interested or is he waiting for her to make a move on him instead? what should a woman do when faced with this kind of guy? Ignore him an see if he comes after her or make the move? All opinions welcome.