The army strength is the army's ERF modified with defence and race modifications. That is:
Army strength = (ERF + defence and race modifications) * (type of army modification)See 14.2 Tables and formulas for more information.
If two armies fight each other, each army has the following chance
(army strength)/(army strength + enemy strength)
This means that both armies, one army or none of the armies may survive.
If an army is fighting many other armies its offensive strength
is divided among the enemies like this:
offensive strength = (army strength)/((number of enemies)*2-1)
And the army's chance to survive become:
(army strength + the sum of the enemies' offensive strength)
It should be obvious what will happen in complicated situations like when A fights B and C, B fights A and D, C fights A, and D fights B...
If you know anything about probability theory you see that this means that an army on average kills just as many enemies regardless of their number. But its own chance of survival drops. You can also see that half of the armies will die in an even battle.
In the ballistic battle some different modifications apply.
Defence from flying things:
The army receives no bonus for ''iron'' or for being mounted. Ducks have no negative modification and sick armies just get half strength to defend themselves.
Attack with missile weapons:
Strength is divided by 4 if the army is not an archer army. The bonus from ''iron'' is only *5/4 and there is no bonus for ''armour''. Ducks get their strength lowered to 2/3. Sick armies get their strength halved. Elven armies use bows as if they had 3 more ERF.
You will receive one report from each army about the battles so do not be alarmed if you receive the same report from different armies. And sometimes two armies encounter the same enemy army even if they move at different places.
One report from each province where there was a battle will be delivered to you.
Eas aas es as
In the reports from these battles some values are reported. These are:
eas Enemy Artillery Strength aas this Army's defensive Artillery Strength es Enemy melee Strength as this Army's melee Strength
(eas 2, aas 665k, es 5.32M, as 2.66M)This means that this army has almost no risk of being killed by arrows, but it has a 5.32/(5.32+2.66) risk of being killed in melee.
Of course these values give a hint whether the other kingdom does or does not possesses certain technologies.
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