What will happen if all the games in the World Chess Championship are draws? Who will be considered the world champion?
From the Wikipedia page of WCC 2021:
The match consists of 14 games, and a score of 7½ wins the world championship. If the score is equal after 14 games, tie-break games with faster time controls will be played:
- 4 rapid games with 25 minutes each + 10 seconds increment starting from move 1. If a player scores 2½ points or more, [they win] the championship.
- If the score is equal after the rapid portion, up to 5 mini-matches of 2 blitz games will be played. Time control is 5 minutes + 3 seconds increment. If any player wins one of these mini-matches, the tie-break ends and [they win] the championship.
- If all 5 blitz mini-matches are drawn, 1 sudden death (Armageddon) game will be played, where black has draw odds and 4 minutes, and white has 5 minutes. Players receive 2 seconds increment starting move 61.
Meaning, if they draw the Armageddon match, it is counted as a win for black.
See also: Regulations for the FIDE World Championship Match 2021 (section 4.3.2)