i don't see how anyone could have a problem with that
i'd be willing to go with the guy paying for date 1 always just out of tradition
after that who ever is the one pressed to be seen again should pay
i think that's fair

once had a situation where a chick KEPT asking me out on dates
and KEPT sitting there looking stupid when the check came
the quality and frequency of the dates plummeted
she basically became a happy hour ONLY date, otherwise i had 101 excuses
eventually i got what i wanted then the dates ceased completely
didn't have to be that way, but her attitude turned me off so much it turned into me waiting to get a return on my investment kind of deal since i no longer had real interest
just be fair

edit: and guys need to get over being called cheap/broke. if a chick thinks you paying for everything while dating is attractive....you probably don't want her anyway