Draw and Process Format
Each player plays in two simultaneous Single Elimination formats called the Draw and the Process. The winner of the Draw plays the winner of the Process to determine the winner of the tournament. If the same player wins both the Draw and the Process, then that player wins the tournament.
This format is a type of Double Elimination format.
The Draw is seeded according to Single Elimination, or at random (but note that Draw and Process was not designed with seeding in mind, and seeding more than half of the Draw produces an unsatisfactory seeding in the Process). The Process is ordered so that any players who meet in the first or second rounds of the Draw cannot meet until the final or semi-final respectively of the Process (and vice versa for the first two rounds of the Process).
Also, see the Croquet Association's Regulations for Tournaments.
Below is an example of a Draw and Process for eight players. Player 1, the Draw winner, won the tournament by beating Player 2, the Process winner, in a playoff game.