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Paradox put out a post saying they want to reduce morale over time in a battle to fix the length. This fundamentally misunderstands what is wrong.
1) If a fixed number of units were able to deal damage at a given time
2) A battalion could receive damage from more than other battalion (say 3)
3) The number of battalions that could damage an enemy could change over time based on technology (perhaps starting at 1 and moving up to unlimited with siege artillery, follow the transition from lanchester's ancient law to lanchester's square law)
Any of these solutions would change minimal balance and make the combat system work better.
So not only is it true that most battalions sit idle while a battle goes on; *most of the battalions in the battle are idle while 1-3 units are engaging.*
This is different from every combat model I have even heard of and is different from how combat is evaluated in every other Paradox game. Victoria 3 basically evaluates every single battle like it is the battle of Thermopylae where 300 Kazakhs fighting in plains hold up 100,000 Russians for 3 months.
I'll add some info about battle casualties if the upcoming 1.1 doesn't change them.
by opening a savegame file in a text editor following these directions: https://www.reddit.com/r/victoria3/comments/yg4s7e/how_to_editdecrypt_victoria_3_save_files/
Information about battles from ongoing wars can be accessed in the save file. The data for the plot is only collected if the player is in the war. By taking the data from some of my save files I was able to reconstruct most of how battles work. Battles between brigades are 1:1. A brigade with 5 men does the exact same damage as a brigade with 1000 men and equal stats.
This screenshot is my graph:
https://gyazo.com/1a9fef3ed59cf689db555beea87ae3a5
Another part of the battle mechanic you didnt discuss much about is the battle conditions that are rolled at the start of each battle that can really impact the battle, but even I am not too familiar with how it is selected at random, just that the generals can affect it a bit. Some traits allow the occurrence of certain conditions while others can prevent them. And not all of them are helpful to you, like the mud condition means 50% provinces captured, etc