Magnus Carlsen finished in style with a beautiful queen sac, putting away the very game challenger to win the playoff 3-1 and the match overall by a 9-7 score. Sergey Karjakin had to take extra chances to try to win with Black, and while it backfired it was the right strategy. (The game, with my notes, is here.)
Congratulations to Carlsen on the win and Karjakin for making a tremendous fight of it. He had his chances in the match, and if he had spotted his opportunities in games 9 and 10 he would almost certainly have been the champion. But Carlsen missed opportunities too, and in the end his dominance in the rapid portion made him the deserved winner of the match.