Forum: empire-en

Board: [589] Strategy & Tactics Discussion

Topic: [373852] Strength bonus for having more troops & randomness

[-373852] redder7 (US1) [US1] :: May 9, 2020, 2:50 a.m.

A while ago, I asked if anybody knew exactly how the bonus for having more troops was calculated (for example, you will lose fewer troops with 50000 in the cy compared to 10000 in the cy). Thanks to these collection events, I have been able to figure it out. Your troops' strength will be multiplied by the square root of the ratio between your troops' power and your opponent's troops' power. For example, if you have 4 times the power of your opponent, your troops will be twice as powerful (and you take half as many losses compared to if you had equal power. Or, if troops had equal power and your commanders and castelleans provided equal bonuses, if you had 4000 troops to their 1000, you would take 500 losses. If you had one ninth of your opponent's power, your troops would have one third of their base power. Or, with equal power per troop, your 3000 troops would only cause 1000 losses of your opponent's 27000 total troops.

I am also testing the effect of randomness of battles. I was quite surprised to find that in each battle, a single random value is used to determine a bonus for the attack or defender. This bonus is applied to all section of the wall and all waves and the courtyard. I have more testing to do, but it seems as though randomness can provide at least up to a 10% variation in power! Further testing should hopefully show the full extent of this randomness and if it is truly random, or if it is adjusted to provide mediocre numbers more often (like exiling foreign castles).

[5120701] Wasso (INT3) [INT3] :: May 9, 2020, 5:39 a.m.

Wow, that is good work!

We will keep an eye out for your next post...…..

[5120784] ImperialGuard (US1) [US1] :: May 9, 2020, 2:37 p.m.

Very interesting post . Keep up the good work.

[5120792] Wiglema (NL1) [NL1] :: May 9, 2020, 3:59 p.m.

redder7 (US1) said:

A while ago, I asked if anybody knew exactly how the bonus for having more troops was calculated (for example, you will lose fewer troops with 50000 in the cy compared to 10000 in the cy). Thanks to these collection events, I have been able to figure it out. Your troops' strength will be multiplied by the square root of the ratio between your troops' power and your opponent's troops' power. For example, if you have 4 times the power of your opponent, your troops will be twice as powerful (and you take half as many losses compared to if you had equal power. Or, if troops had equal power and your commanders and castelleans provided equal bonuses, if you had 4000 troops to their 1000, you would take 500 losses. If you had one ninth of your opponent's power, your troops would have one third of their base power. Or, with equal power per troop, your 3000 troops would only cause 1000 losses of your opponent's 27000 total troops.

I am also testing the effect of randomness of battles. I was quite surprised to find that in each battle, a single random value is used to determine a bonus for the attack or defender. This bonus is applied to all section of the wall and all waves and the courtyard. I have more testing to do, but it seems as though randomness can provide at least up to a 10% variation in power! Further testing should hopefully show the full extent of this randomness and if it is truly random, or if it is adjusted to provide mediocre numbers more often (like exiling foreign castles).

Nice work!
I can confirm the square root and the single random value per battle, though I'm mostly seeing randomness between -3% and +3%, based on the overall power of the troops, not just on the number of troops.

[5120795] redder7 (US1) [US1] :: May 9, 2020, 4:17 p.m.

Wiglema (NL1) said:

redder7 (US1) said:

A while ago, I asked if anybody knew exactly how the bonus for having more troops was calculated (for example, you will lose fewer troops with 50000 in the cy compared to 10000 in the cy). Thanks to these collection events, I have been able to figure it out. Your troops' strength will be multiplied by the square root of the ratio between your troops' power and your opponent's troops' power. For example, if you have 4 times the power of your opponent, your troops will be twice as powerful (and you take half as many losses compared to if you had equal power. Or, if troops had equal power and your commanders and castelleans provided equal bonuses, if you had 4000 troops to their 1000, you would take 500 losses. If you had one ninth of your opponent's power, your troops would have one third of their base power. Or, with equal power per troop, your 3000 troops would only cause 1000 losses of your opponent's 27000 total troops.

I am also testing the effect of randomness of battles. I was quite surprised to find that in each battle, a single random value is used to determine a bonus for the attack or defender. This bonus is applied to all section of the wall and all waves and the courtyard. I have more testing to do, but it seems as though randomness can provide at least up to a 10% variation in power! Further testing should hopefully show the full extent of this randomness and if it is truly random, or if it is adjusted to provide mediocre numbers more often (like exiling foreign castles).

Nice work!
I can confirm the square root and the single random value per battle, though I'm mostly seeing randomness between -3% and +3%, based on the overall power of the troops, not just on the number of troops.

Oh, I just realized that I was checking calculating the random bonus after the troop stacking bonus thing which could lead to compounded numbers. I also might have just inputted my partners cast wrong or something or had numbers too low leading to a large loss of precision from rounding. I was very very surprised that my numbers showed up to 10% sometimes. However, now that I know that there is only one random multiplier per battle, I can collect all the data by myself through a ton one wave one section attacks.