How about if you think of it this way?
1. One more valid tactic (berserker charge) = more stability in performance
2. Huge offensive bonus = less enemy remaining on day 2, 3, 4... so on = less need for defense
3. Offense and defense are two seperate stats, don't you have to add them instead of multiplying them? In which case advance vs berserker charge becomes 5.3o + 1.3d vs 5.9o + 0.8d, and since o (offense) value of HI is 6 (during melee) and d (defense) stat is 4, overall it'd be a bigger bonus than Druzhinas.
It would've been great if you included housecarls in your experiment.
Anyways I think I might alter my game plan and convert to scottish maybe. I was expecting housecarl to be one of the best.
1. This is an interesting point that I haven't considered, though it's more relevant for levies than for pure retinues. A pure HI retinue can only ever trigger two tactics, Advance and Force Back, both of which give them better stats than Berserker Charge.
2. That is true, but in the specific case of Berserker Charge you kill 11% more enemies (590% damage vs 530% damage) while the enemy kills 63% more of your own troops (80% defence vs 130% defence). It's not a good trade.
3. Combat works like this for each day of battle:
Step 1: Total attack values of all soldiers in a flank are added together and multiplied by 0.01 to get damage.
Step 2: Damage is divided by number of soldiers in enemy flank to get damage per soldier.
Step 3: For each unit type damage per soldier is divided by that unit's defence value and multiplied by the number of soldiers of that type. This gives us number of deaths per unit type.
So if you multiply attack by a certain value, that is how many times deadlier your army becomes (enemy deaths are multiplied by the number). And if you multiply defence by a certain value, that is how many times tougher your army becomes (your own deaths are divided by that number). And if you do both the army's power is multiplied by both numbers.
Although in truth that only applies for a specific day of battle. Doubling attack makes you more than twice as good, becuase on the next day there will be fewer enemies left to hurt you. And doubling defense makes you more than twice as good, because on the next day there will be more of your own troops left to kill the enemy. And this only serves to make the total multiplier more important, but it's hard to calculate exact values.
That's why I decided to run practical tests with a few simple metrics to judge units by (survival rate and kill rate). Theoretical calculations just get way too complicated to make it worth doing the calculation.
Here's a link to the post where I described the features of the mod. It also contains a link to download the latest version of the mod:
http://forum.paradoxplaza.com/forum/index.php?threads/retinues-in-2-5-2.915702/page-3#post-21049993
I feel (i havent done eact calculations like Dragatus above), that the Huscarls are really nice early in the game., but less so later on.
If you are tribal or early feudal, you tend to lack something that can secure your damage during the close combat phase. As even a large retinue is not going to win the the big wars alone with the retinues, but you need tribal vasals or levies, i looked at the remaining compostion of my armies and that of the enemy: I usually won the skirmish phase by having more archers, so even my light infantry did suffer too bad, but had no possibility to deal damage in the close combat phase, meaning that even with good defensive units i still lost those - or only had a draw. By having 3-4 huscarl units with a good general, I could follow up on my advantage in the skirmish phase on at least one flank (or the centre), and make one of the enemies flanks (or centre) crumple completely very fast.
The defense unit might mean that my "block" did crumple, but as I could never get enough retinues to fight solely with those before the late game (by which time it wasnt needed), they could only really cover one "flank", and when the other one crumpled in time I lost the battles. Instead by securing one flank quickly (but sure at a loss of men), I could then be the one attacking with superior numbers against the centre.
This is a good point. Everything I said applies to pure retinue flanks. If you can't afford enough retinues to do all your fighting and have to mix them with other troops, it's indeed better to match whatever the other troops are.