This is an interesting point. The way Tinder works is a little different than how this problem is normally modeled since both people need to swipe (propose) in order to get a match and therefore proposals are bidirectional. There is still some subtleties because people don't know who swiped right on them (unless they have gold).
A more apt comparison is how Hinge works. People don't need to actively go out and 'like' people, they can just sit and wait for likes to come in and they can choose if they want to match or not.
I would be very interested to see Hinge data for how often men give out likes versus women.
The first graph shows that choosing first does give an advantage, however like another poster has said, the advantage is amplified with how each gender sees each other.
So there's two reasons why there is a male preference advantage here: 1) I ran the algorithm assuming the men make the first move and 2) Male/female normal/pareto correlation in attractiveness
Do you mean what would happen if the distributions were switched but men still make the first move? I could change up the script and run it again if that's what you mean!
A more apt comparison is how Hinge works. People don't need to actively go out and 'like' people, they can just sit and wait for likes to come in and they can choose if they want to match or not.
I would be very interested to see Hinge data for how often men give out likes versus women.