I tried to check MC's move against Stockfish 7 at 4sec/pos, for all 13 games in TataSteel 2016. Calculate its average centipawn loss per game and its overall average centipawn loss. When MC's move matches to that of Stockfish, centipawn loss is set to 0. Otherwise centipawn loss is equal to stockfish's bestmove evaluation minus MC's move evaluation by stockfish.
Analyzer: stockfish 7 x64 popcnt.exe @ 4.0s/position
i7-2600, 128MB hash, 1 Thread
Evaluated moves: 10 to 40
Carlsen,M average centipawn loss summary:
game: 01, 2
game: 02, 4
game: 03, 3
game: 04, 3
game: 05, 6
game: 06, 5
game: 07, 5
game: 08, 5
game: 09, 4
game: 10, 4
game: 11, 4
game: 12, 4
game: 13, 4
Overal average centipawn loss: 4
With this kind of play, it will be very difficult to defeat him.
About rating inflation.
Vishy was 2769 in 2000 and is 2784 today.
Has he improved? Or has he lost something? Maybe both?
I dont have a clue. Was he better then or now?
Maybe the toprating 2817 from 2011 describes his strongest time?