Yes. More details:
- In a single elimination tournament, players that lose their games are eliminated, and then the next round has match-ups between remaining players.
- In a double elimination tournament, there are two tiers. Players in the first tier that lose a game are moved to the second tier, and players in the second tier that lose a game are eliminated entirely. Rounds match up players separately in each of the two tiers, continuing until there is one player left in each tier. Once there is only one player in each tier, they play each other, until one of them loses.
- Neither player in a drawn game loses. Even if it’s a so-called “final”, the elimination tournament will continue until one of them loses.