I have questions on Battle resolution screen.

[GBS]

The two vertical columns slowly fill with blue and gray and the battle progresses. Thgere is a numbr at the top of each column. What does this represent?
Has a battle ever been won by the side that had the lowest number in their column?
Has a side with the fewer troops committed ever won a battle?
Can there be a draw with both sides withdrawing to lick their wounds?

[silber]

The columns represent the percentage of the troops available from that side which are actually committed, with the number being the total number of strength points. I'm not sure whether it only counts infantry/militia, or if cavalry and artillery are factored in.
 
Since commanders have a great deal of influence, it is frequently the case that the side with the lower number wins. However, typically if your number less than half that of your opponent you will lose, unless heavily fortified. Note that a good commander will not only give you bonuses, but a higher percentage of your force will be committed, and will be committed early.
 
I frequently see the side with fewer troops win, even on the offensive (if it is a good AC with good Corps commanders). However, in many such cases the "winner" will take proportionally (or even absolutely) more casualties.
 
No draws.

[herwin]

ORIGINAL: silber

The columns represent the percentage of the troops available from that side which are actually committed, with the number being the total number of strength points. I'm not sure whether it only counts infantry/militia, or if cavalry and artillery are factored in.

Since commanders have a great deal of influence, it is frequently the case that the side with the lower number wins. However, typically if your number less than half that of your opponent you will lose, unless heavily fortified. Note that a good commander will not only give you bonuses, but a higher percentage of your force will be committed, and will be committed early.

I frequently see the side with fewer troops win, even on the offensive (if it is a good AC with good Corps commanders). However, in many such cases the "winner" will take proportionally (or even absolutely) more casualties.

No draws.

Historically, the side that took lower percentage casualties in the battle almost always (that is, about 90% of the time) won. If that's not happening in the game, the game is wrong.