  We propose a new tournament structure that combines the popular knockout
tournaments and the round-robin tournaments. As opposed to the extremes of
divisive elimination and no elimination, our tournament aims to eliminate the
participants as linearly as possible as a form of subtractive elimination. Our
design is flexible in the sense that it can be adapted to any number of players
$N$ and any number of matches $M$. Our design satisfies many properties that
are desirable for a tournament to select a winner and can be adapted to rank
all the participating players.
