I thought this was a team game? 
It's, er, like both, hence the conflict of interests. The normal singles game runs, as normal, and the singles scores are added together for the "Stables" for the seperate Stable leaderboard, hence some teamates will only help you if you are nowhere near them, i.e. if they are 2nd and you are last they'll be happy to help because you pose no threat, so to speak. We had one stable game before, this is the leaderboard, gives you an idea of how it works:
1. Hammy = 691 (WWE Game World Champion) (x3)
2. Evolution = 666 (WWE Game IC Champion)
3. Jim = 620 (WWE Game US Champion)
4. slash666 = 617
5. BlowUpYourVideo = 535
6. Gnrfan = 503
7. D = 490
8. high_times = 479
9. Malcolm = 413
10. sweet616 = 412
11. Timothy08 = 362
12. Mr Cowbell = 287
Stables
1. The Dynasty: D, Jim, Hammy, sweet616 ($215,000) = 2213 (WWE Game Stable Champions)
2. Supreme Machines: Gnrfan, high_times, slash666, Timothy ($200,000) = 1947
3. The Stable With No Name: Malcolm, BlowUpYourVideo, Mr Cowbell, Evolution ($120,000) = 1901