Here are the tournament results.  Unfortunately (although, fortunately for me) there were only 5 teams.

#1 - "FishMan" by Aman Sinha, William Gamber, and John Subosits - 1028 wins, 272 ties
#2 - "The_Goveyz" by Deepthi Shashidhar, Angela Hsieh, and Lavanya Sivakumar - 1010 wins, 253 ties
#3 - "tim" by Paul Rigge, Nimish Telang, and Kameron Conforti - 959 wins, 265 ties
#4 - "eileen" by Eileen Yan, Megan Achille, and Kasia Oleske - 827 wins, 296 ties
#5 - "Nemo" by Anna Sabo, Christian Peoples, and Jonathan Leung - 538 wins, 188 ties

I just awarded 2 points for each win and 1 point for each tie.

[Interestingly, FishMan actually lost to The_Goveyz when they played
each other by almost 60 games, but, I guess that's just the way it
goes.  Individual results below just for fun.]

Nemo The_Goveyz 154 59 287
Nemo eileen 223 64 213
FishMan eileen 202 96 292
eileen tim 212 77 211
tim Nemo 341 51 108
FishMan The_Goveyz 181 79 240
tim FishMan 205 83 212
tim The_Goveyz 202 56 242
The_Goveyz eileen 241 59 200
Nemo Fishman 53 14 433