Question for the girls about dating

[PiKA2001]

I'm kind of old fashioned when it comes to dating, meaning that if I ask a girl out that I should pay for her. But I get a lot of girls that want to pay for themselves when we go out. I usually insist to pay and do unless they cause a stink about it, then we just split the bill. I figure a lot of girls want to pay for themselves because they might be worried that a guy might be "expecting" something in return that night for the money they spent on them. Or are girls just trying to be polite, but they really want you to pay? Also, I hate insisting on paying when a girl wants to split on first-dates for fear of sounding like a controlling asshole, yet i'm not gonna say "sure! you pay too!" and look cheap . Anybody have some insight on this?