Hi Mayer:
In table tennis the following match-point method is used for determining a round robins winner.
Every match is the best 3 games out of 5 and must have a winner and loser, no ties at the match level.
Match points:
2 points - winner
1 point - loser
0 point - loser through defaulting (one person is a no show)
0 points - unplayed match (both people are a no show)
Add all the match points up for each player.
If two players A and B have the same match-points there is a two-way tie and the winner of the tie is who ever won the A vs B match.
If more than two players have the same match-points then the games-ratio [(games won) / (games lost)] for each player in the tie is calculated, but only from the matches of the players in the tie ! The player with the highest games-ratio is the winner.
A tie at the games-ratio level is resolved in a similar fashion;
If two players A and B have the same games-ratio there is a two-way tie and the winner of the tie is who ever won the A vs B match.
If more than two players have the same games-ratio then the points-ratio [(points won) / (points lost)] for each player in the tie is calculated, but only from the matches of the players in the tie. The player with the highest points-ratio is the winner.
A tie at the points-ratio level is resolved by a drawing of straws, or other tie-less random selection such as the most correct guesses in independent chains of coin flips.