1. Debate Partitions

2. Restricted Versions of Games
Win restriction: [w x]: only games that x wins
Fault restriction: [fl x]: only games in which x makes a fault
Control restriction: [c x]: only games that x controls
[c x] = [w x] union [fl x]
Also add a complement restriction operation for each of the restriction operations: [!w x],[!fl x],[!c x]
[w x] union [!w x] = all debates
x!=y: [fl y] [fl x] = empty set of debates =[w y][w x]

3. Focus on 2, 3, 4, 5 All debates 1 [!fl y] [w x] = [!c y] [w x]
2 [!w y] [fl x] = [!c y] [fl x]
3 [fl y] [w x] = [c y] [w x]
4 [w y] [fl x] = [c y] [fl x]
5 [!w x] [fl y] = [!c x] [fl y]
6 [!fl x] [w y] = [!c x] [w y]
7 [!c x] [!c y]
c x
c y
x wins 1 5
y at fault 3 2 4 6
y wins
x at fault 7