@ariallito
I' ve got some observations and interesting for me afterthoughts, but frankly, I think that revealing them would be somenthing that might interfere with the rivalization.
This setup of 4 identical games leads to particular attitude, faction strenght is something that is less significant here, hence they are all played at some point.
I propose to define the exact schemeing key of picking factions for all 4 games. E.g. :
Ist match ABCD
2nd BDAC
3 rd CADB
4th DCBA
Or something like this....