I’m sorry
@SoggyShorts, I don’t mean to be difficult on this. Truly, I don’t recall exactly how tournaments were set up, but the first level of the tournament, it was never 69 against 69 (using my squad size) it might be like that on the 5th or 6th province and the 3rd star and a couple of randoms in between. But it never started with my squad size being the same exact size as the enemy.
If it’s like this now from the moment you open up your first province, I understand. That’s what I was going to check today.
Yes, in the first round of the tournament your squad size is bigger than the enemy's. The exact formula for calculating your tournament squad size was already provided to you earlier, so I'll just quote it:
<your tournament SS> = <your normal SS> * 0.05 * <tournament province number>.
<tournament enemy SS> = <your tournament SS> * (0.70 + 0.15 * star)
tournament catering cost depends on tournament enemy SS, distribution of this cost between money/supplies/t1/t2/t3/orcs depends on your normal SS.
So, to make things simple. let's say your normal squad size is 1000. In the first tournament province your squad size will be:
1000 * 0.05 * 1 = 50
Enemy squad size will be:
Round 1 (0 stars): 50 * (0.70 + 0.15*0) = 50 * 0.7 = 35
Round 2 (1 star): 50 * (0.70 + 0.15*1) = 50 * 0.85 = 42.5 (so 42 or 43 - I'm not sure if it is rounded up or down)
Round 3 (2 stars): 50 * (0.70 + 0.15*2) = 50 * 1 = 50 <<<<<This is when enemy squad size is equal to yours
Round 4 (3 stars): 50 * (0.70 + 0.15*3) = 50 * 1.15 = 57.5 <<<<<<<<< Starting here the enemy has a numerical advantage
Round 5 (4 stars): 50 * (0.70 + 0.15*4) = 50 * 1.30 = 65
Round 6 (5 stars): 50 * (0.70 + 0.15*5) = 50 * 1.45 = 72.5
Now imagine that you increase your squad size from 1000 to 2000. ALL of the above numbers get doubled as a result:
In the first tournament province your squad size will be:
2000 * 0.05 * 1 = 100
Enemy squad size will be:
Round 1 (0 stars): 100 * (0.70 + 0.15*0) = 100 * 0.7 = 70
Round 2 (1 star): 100 * (0.70 + 0.15*1) = 100 * 0.85 = 85
Round 3 (2 stars): 100 * (0.70 + 0.15*2) = 100 * 1 = 100 <<<<<This is when enemy squad size is equal to yours
Round 4 (3 stars): 100 * (0.70 + 0.15*3) = 100 * 1.15 = 115 <<<<<<<<< Starting here the enemy has a numerical advantage
Round 5 (4 stars): 100 * (0.70 + 0.15*4) = 100 * 1.30 = 130
Round 6 (5 stars): 100 * (0.70 + 0.15*5) = 100 * 1.45 = 145
If your squad size is 50 and you lose 60% of it, your actual losses in absolute numbers are 30.
If your squad size is 100 and you lose 60% of it, your actual losses in absolute numbers are 60 - twice as many.
Due to the above it is better to have smaller squads, as it is easier to replace 30 units than it is to replace 60 units.