A matrix for a round-robin tournament involving n players competing in n(n - 1)/2 matches (no ties allowed) having entries a_(i j) = {1 | if player i defeats player j -1 | if player i loses to player j 0 | if i = j. auto right match This scoring system differs from that used to compute a score sequence of a tournament, in which a win gives one point and a loss zero points. The matrix satisfies A = - A^T, where A^T is the transpose of A.