But in a real-world scenario if the girl is into you on a first date then she feels a bit of investment and to some degree wants to offer to do things to please you and make you happy. She'll offer to pay her half or all of the bill.
I think there is something to be said for the fact that if a girl does pay but thinks the guy is a jerk for it then she didn't really like him anyway and he didn't really have a chance. When you start to like someone you tend to automatically fail to see their flaws. The "Rose-colored glasses" come on and she works subconsciousness to make the relationship go more smoothly.
Ladies, can you not think of some situations where this has been true for you?