 Next, in a number of rounds, each free man proposes to the most-preferred woman to whom he has not yet proposed and ticks her off from his list. If the woman is free, she accepts, and they become engaged. If the woman is not free, she compares the proponent to her current fiancé. If she likes him better, she dumps the fiancé who becomes free again, and the proponent and his woman of choice become engaged.