Girls don't want to ask guys out because they want to be the ones who are being pursued! Not the ones pursuing! I know many girls who have liked a certain guy soooo much but never once considered asking him out because they want to make sure that they are lovely enough for him to actively pursue her!
Also, some might not ask because they want to test his manliness! It takes guts to just ask a girl out without knowing wether or not she will turn him down cold! If he does, it shows he can really lead in a relationship! If not, he wouldn't be worth asking out!
Because we've been socially conditioned to think that it's a man's responsibility to ask women out. I know it's silly but if a guy doesn't ask me out then I automatically assume that he's just not attracted to me, which may or may not be true.
While I was the one who asked out my boyfriend, I'm mostly indifferent to the need for a relationship.
I'm just as happy being single as I am in a relationship. It's a different kind of happy but same level.
I assume that others must feel the same way. We're happy single and while being in a relationship is a plus it's not like we're unhappy enough being single that the risk of being turned down is worth the additional happiness from a partner.
Because you will never know how much a guy really likes you if you chase him. I'm quite traditional in that sense, I just find that guys that I have attempted to pursue never seem interested further down the road. I believe that if a guy really wants you, nothing will stop them pursuing you
Because I have a girlfriend :D I'm bisexual but even before I started dating her I wouldn't ask people out because I'm hella shy and the one time I actually did I got rejected for the shallowest reason ever which then made me even more shy and insecure.. Yup, I'm a coward but who cares I'm with the person I want now anyways! :P