I am surprised and impressed by the responses on this thread
Obviously, it is wrong to try to impress a first date by taking her to an expensive dinner that you can't really afford. It is pedestal behavior, supplication, and a lot of other bad vibes that don't get you laid. And there are serial dating women out there, especially on Internet dating personal ads, who make a hobby out of taking advantage of AFC behavior. All of that is true.
But I typically always pay, regardless. I never take a girl anywhere I can't afford, and much more importantly anywhere I don't want to be. We eat where I want, when I want, and basically she just gets to come along. I like a lot of moderately-priced Asian restaurants anyway, so the most I am out is twenty bucks or so. The girls who want to take advantage of you will be telling you where and when to take them - they are not so difficult to spot. Most women genuinely want to be with you, or else they would not go to dinner with you.
Inside their typically fragile psyches, women want sex just as badly as us. But it takes a dance first. We are not much different than birds strutting around to attract mates, it is just that our dance often involves dinner and a movie. If you lead the way and set the frame, paying is just a small part of it. Often, even though you had planned to see a movie at a theater, she will suggest after dinner that you rent a movie and go to her place, which of course is chickspeak for "please do me now."