Carlsen didn't make any winning!! or distinctly good moves.
I doubt. Carlsen's play was almost accurate. He could exploit almost all of Caruana's mistakes in the rapid games.
Game 1:
Carlsen realizes his opponent is in serious time trouble, in which a move like Rc7! seems the most suitable. Without thinking, a human player would like to collect 2 pawns via 37... Kxe4 38. Rxg7 Kxf5, without realizing that 39. Rg5+ Kf6 Rxh5 wins the crucial h5 pawn, without which the game is a straightforward victory for white.
[FEN "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1"]
[Event "2018 World Chess Championship"]
[Site "London"]
[Date "2018.11.28"]
[Round "?"]
[White "Carlsen, Magnus"]
[Black "Caruana, Fabiano"]
[Result "1-0"]
[ECO "A22"]
[Annotator "Sam Shankland"]
[PlyCount "109"]
[StartPly "72"]
[EventDate "2018.??.??"]
[CurrentPosition "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1"]
1. c4 e5 2. Nc3 Nf6 3. g3 Bb4 4. e4 O-O 5. Nge2 c6 6. Bg2 a6 7. O-O b5 8. d4 d6 9. a3 Bxc3 10. Nxc3 bxc4 11. dxe5 dxe5 12. Na4 Be6 13. Qxd8 Rxd8 14. Be3 Nbd7 15. f3 Rab8 16. Rac1 Rb3 17. Rfe1 Ne8 18. Bf1 Nd6 19. Rcd1 Nb5 20. Nc5 Rxb2 21. Nxe6 fxe6 22. Bxc4 Nd4 23. Bxd4 exd4 24. Bxe6+ Kf8 25. Rxd4 Ke7 26. Rxd7+ Rxd7 27. Bxd7 Kxd7 28. Rd1+ Ke6 29. f4 c5 30. Rd5 Rc2 31. h4 c4 32. f5+ Kf6 33. Rc5 h5 34. Kf1 Rc3 35. Kg2 Rxa3 36. Rxc4 Ke5 37. Rc7! Kxe4 38. Re7+ Kxf5 39. Rxg7 Kf6 40. Rg5 a5 41. Rxh5 a4 42. Ra5 Ra1 43. Kf3 a3 44. Ra6+ Kg7 45. Kg2 Ra2+ 46. Kh3 Ra1 47. h5 Kh7 48. g4 Kg7 49. Kh4 a2 50. Kg5 Kf7 51. h6 Rb1 52. Ra7+ Kg8 53. Rxa2 Rb5+ 54. Kg6 Rb6+ 55. Kh5 1-0
Game 2:
Carlsen finds 24... Bd8!, after which the most clear path for white is to get c7 through after Nd5. However, Magnus finds the best move in the position, 25... e4!, generating enough counterplay in the center such that c7 is easily handled.
[FEN "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1"]
[Event "2018 World Chess Championship"]
[Site "London"]
[Date "2018.11.28"]
[Round "?"]
[White "Caruana, Fabiano"]
[Black "Carlsen, Magnus"]
[Result "0-1"]
[Annotator "Sam Shankland"]
[PlyCount "56"]
[StartPly "50"]
[EventDate "2006.06.28"]
1. e4 c5 2. Nf3 Nc6 3. d4 cxd4 4. Nxd4 Nf6 5. Nc3 e5 6. Ndb5 d6 7. Nd5 Nxd5 8. exd5 Ne7 9. c4 Ng6 10. Qa4 Bd7 11. Qb4 Qb8 12. h4 h5 13. Be3 a6 14. Nc3 a5 15. Qb3 a4 16. Qd1 Be7 17. g3 Qc8 18. Rc1 Bg4 19. Be2 Bxe2 20. Qxe2 Qf5 21. c5 O-O 22. c6 bxc6 23. dxc6 Rfc8 24. Qc4 Bd8 25. Nd5 e4 26. c7? Bxc7 27. Nxc7 Ne5 28. Nd5 Kh7 (29. Qe2 Nd3+) (29. Ne7 Qf3 30. Qxc8 Rxc8 31. Rxc8 Qxh1+) 0-1