Evolutionary psychologists will remind us that there's a long line of writing about "female choosiness" going back to Darwin and the male peacocks competing to get noticed by "choosy" mates with their splendid plumage. But you don't have to buy that kind of reductive biological explanation (I don't) to see the force of the "women choose" model. You only have to accept that for whatever socially constructed reason, the choice of getting married is one in which the woman is usually the key player. It might be the man who's supposed to ask the official, down-on-the-knee question, but it usually comes after a woman has made the central decision. Of course, in this, as in all matters of love, your experience may vary.
There may be those who look at this and try to derive some sort of prescription, about when to "bid," when to hold out, and when (as this Atlantic story urges) to "settle." If you're inclined to do that, approach with care. Game theory deals with how best to win the prize, but it works only when you can decide what's worth winning.