I've had very big-name agents say (at conventions and workshops) that if they haven't managed to read a writer's full or partial yet, a one-week deadline isn't going to help. They'll thank the writer for notifying them of the offer, and automatically pass most of the time.
Not to say that politeness doesn't matter. But it might not spur a bidding war.
Not to say that politeness doesn't matter. But it might not spur a bidding war.