Slightly better, and works well in practice[0], replace step 6 with "Repeat from step 3 until one candidate has more than 2/3 the votes, and possibly chage step

Slightly better, and works well in practice[0], replace step 6 with "Repeat from step 3 until one candidate has more than 2/3 the votes, and possibly chage step 5 to cut candidate list down more quickly (imagine how long it would take to eliminate 1 at a time with 100 candidates). If after 2 candidates remain neither gets more than 2/3 the vote, flip a coin. [0] Search "AA 3d Legacy Election"