If both sides have enough regiments to fill the Frontage multiple times over, due to interactions between the following :
- Damage dealt by engaged Regiments scales with their Current Strength %.
- The Frontage occupied by a Regiment in battle is always the same, regardless of its Current Strength %.
Higher morale regiments deal slightly more damage across the whole battle due to staying engaged for longer, thus "winning" otherwise even engagements.
However as a result, higher morale regiments also spend their engaged battle ticks being more damaged, on average, than their lower morale peers which retreat faster, to be replaced by full strength regiments fresh from the Reserves section, as the Frontage is freed up for them to join. This makes higher morale a potential liability, as the more damaged a regiment is relative to the enemy, the worse its ratio of damage dealt vs damage taken becomes, leading to substantially higher manpower/levy losses than the enemy in otherwise identical army battles, turning them Pyrrhic (outside Pursuit phase) and potentially losing the war because at the end of the day, it is manpower/levies that win wars, not a green "battle won" text on the screen.
To solve the problem, the actual combat power fighting on each side of a battle must remain constant while the Frontage is full, regardless of how damaged the individual engaged regiments become, consequently the simple solution would be to either scale the Frontage that regiments take up in frontline sections by their Current Strength %, or to make it so that damaged regiments no longer deal reduced damage.
- Damage dealt by engaged Regiments scales with their Current Strength %.
- The Frontage occupied by a Regiment in battle is always the same, regardless of its Current Strength %.
Higher morale regiments deal slightly more damage across the whole battle due to staying engaged for longer, thus "winning" otherwise even engagements.
However as a result, higher morale regiments also spend their engaged battle ticks being more damaged, on average, than their lower morale peers which retreat faster, to be replaced by full strength regiments fresh from the Reserves section, as the Frontage is freed up for them to join. This makes higher morale a potential liability, as the more damaged a regiment is relative to the enemy, the worse its ratio of damage dealt vs damage taken becomes, leading to substantially higher manpower/levy losses than the enemy in otherwise identical army battles, turning them Pyrrhic (outside Pursuit phase) and potentially losing the war because at the end of the day, it is manpower/levies that win wars, not a green "battle won" text on the screen.
Imagine Army A and Army B. Both consist of identical Regiments, except those in Army A have much higher morale and will rout after 80% Strength damage received, as opposed to 50% for Army B.
Average damage dealt per battle tick while engaged :
A regiments : (1+0.2)/2 = 60%
B regiments : (1+0.5)/2 = 75%
Damage ticks received until retreat :
A regiments : 80% strength damage to rout, 0.75x taken per tick fighting Army B. If x = 10%, 80/7.5 = 10.67 ticks till rout.
B regiments : 50% strength damage to rout, 0.6x taken per tick fighting Army A. If x = 10%, 50/6 = 8.33 ticks till rout.
Total damage done by each engaged regiment until retreat :
A regiments : 60% x 10.67 = 64%
B regiments : 75% x 8.33 = 62.5%
Kills to Deaths ratio :
A regiments = 0.64 / 0.8 = 0.8
B regiments = 0.625 / 0.5 = 1.25
Average damage dealt per battle tick while engaged :
A regiments : (1+0.2)/2 = 60%
B regiments : (1+0.5)/2 = 75%
Damage ticks received until retreat :
A regiments : 80% strength damage to rout, 0.75x taken per tick fighting Army B. If x = 10%, 80/7.5 = 10.67 ticks till rout.
B regiments : 50% strength damage to rout, 0.6x taken per tick fighting Army A. If x = 10%, 50/6 = 8.33 ticks till rout.
Total damage done by each engaged regiment until retreat :
A regiments : 60% x 10.67 = 64%
B regiments : 75% x 8.33 = 62.5%
Kills to Deaths ratio :
A regiments = 0.64 / 0.8 = 0.8
B regiments = 0.625 / 0.5 = 1.25
To solve the problem, the actual combat power fighting on each side of a battle must remain constant while the Frontage is full, regardless of how damaged the individual engaged regiments become, consequently the simple solution would be to either scale the Frontage that regiments take up in frontline sections by their Current Strength %, or to make it so that damaged regiments no longer deal reduced damage.
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