kind of like terminator but every one gets points when one person is defeated this would encourage allies and negotiation. this would give more meaning to being second hence allowing strategies that involve trusting your enemies (therefor more backstabbing) point calculations could be done as follows
1st = (2nd + 3rd +.. + nth) / 1st * 20
2nd = (3rd +4th+.. + nth/ 2 *20) - (2nd/ 1st *20)
...
well it continues something like that