I have heard this idea before: if you save a person's life, then forever after, you will be responsible for them. The only references I can find to this concept are vague claims that it is an Asian concept, and that it was once referenced in an episode of Kung Fu.
However, I find the concept very interesting. Is this a part of, or result of, a specific philosophy? Is there documented discussion elaborating on this idea? Or is it merely an amusing fiction created by Hollywood?