I just read this interesting thread and thought of sharing my idea of tournament system.
For an iliustratory purposes I will be using a completely random number of participants on both sides. Say there is 5 Roman generals and 7 Hellenistic strategoi.
First stage:
Because there are less Romans they all get to fight two battles. Their opponents are randomly chosen from among the strategoi.
First round (example):
Roman 1 - Strategos 3
Roman 2 - Strategos 7
Roman 3 - Strategos 2
Roman 4 - Strategos 4
Roman 5 - Strategos 6
As you see the opponent is randomly chosen. However two strategoi (1 and 5) had no battles yet. So they are on priority for the second round.
Second round:
Roman 1 - Strategos 7
Roman 2 - Strategos 6
Roman 3 - Strategos 1
Roman 4 - Strategos 5
Roman 5 - Strategos 2
Now the two strategos who had no battles yet gets a random Roman opponent. The remaining romans get random opponents from the 4 remaining strategoi (7-2(had no battles yet)-1(already fought against)=4).
For each victory Team and player is awarded 1 point. The team with the most points wins the First stage (legion vs phalanx) of the tournament.
Second stage:
Lets say there are 2 Roman generals who got 2 points (won both of their battles) and there are 2 Strategoi who also have 2 points.
First round:
Roman 1 - Strategos 1
Roman 2 - Strategos 2
Second round:
Roman 1 - Strategos 2
Roman 2 - Strategos 1
Each player fight his two opponents and gets 1 point for each victory. the player with most points wins the Best General part of of the tournament. With this stage of the tournament there are lots of possible variations, such as draws, uneven numbers of generals on both sides, etc. however all of these issues can be sorted.
Third stage:
Massive 3vs3 or 4vs4 battle for fun and to close the tournament.
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