Suppose M is the number of seats.

Suppose candidate X wins in every (M+1)-candidate contest.

Then candidate X should also be a winner overall.

Hallo, here is my proposal for a multi-winner Condorcet criterion: Suppose M is the number of seats. Suppose candidate X wins in every (M+1)-candidate contest. Then candidate X should also be a winner overall. Schulze STV satisfies this criterion. See section 9.4. of this paper: http://m-schulze.9mail.de/verylong.pdf Markus Schulze