After each opponent has decided, the effect happens simultaneously for each one who accepted the offer. Then, the effect happens again for you a number of times equal to the number of opponents who accepted.

None of the creature cards in graveyards are targeted. The cards are chosen as Tempt with Immortality resolves.

Your opponents decide in turn order whether or not they accept the offer, starting with the opponent on your left. Each opponent will know the decisions of previous opponents in turn order when making their decision.