This is the same plot as "A Bride for Christmas" by the same author.
This plot is similar to that of the film "Worth Winning" (1989), except that only one woman needs to accept a proposal. It's interesting to compare against "How to Lose a Guy in10 Days" (2003), in which the woman is trying to get the man to dump her (for a story) and the man is trying to win her (to gain a promotion). The screenwriter also made this film as "A Bride for Christmas."