Double Elimination Format
Each player enters a Single Elimination called the winners bracket. Losers in the winners bracket enter a modified second Single Elimination called the losers bracket. The winner of the winners bracket, who has no losses, plays the winner of the losers bracket, who has one loss, in the bracket playoff. If the winner of the winners bracket wins, then they win the tournament, because all other players have two loses. But if the winner of the winners brackets loses, then both players have one loss, and they play again to decide the tournament winner.
Below, is an example of a Double Elimination format for eight seeded players. Player B, the winner of the losers bracket wins the first bracket playoff, and forces another bracket playoff against Player A.