Talk:Battle Engine Model

From FaitH

Having actually run the war engine for a bit, I have some comments that might be inserted here and there. First, there's no randomness in wounding, but there is some in heal/trample calculations (not even including DMoV). When no heal/trample is involved, defender has an advantage. But attacker has an advantage when heal/trample is involved. I don't really understand the manitude of the effects, but it shows up clearly when identical armies fight. Finally, I think I have figured out the Tolkien Bonus and started up an article on that. Please tell me what you think. -- Erodl 10:37, 27 June 2006 (EDT)

Heal/Trample 'randomness'...SOLVED

I ran some numbers in the war calc using pure healing vs. no healing/trampling. It appears that the randomness of healing is directly related to the percent of wounded that are killed. The limit of wounded that are killed is confirmed to be 20% (though the percent becomes lower when exactly 20% of wounded isn't obtainable. For instance, when you have 101 wounded, 20% of 101 is 20.2 wounded, thus 20 will be wounded, which is 19.8%).

Because of the randomness involved, even if you have pure healing, you'll get anywhere between 20% to 25%, though, apparently, it will always be an integer. This means that there are only 6 possibilities to the randomness of healing. When at the maximum healing limit, these six possibilties are 20%, 21%, 22%, 23%, 24%, and 25%.

The above mentioned was simply the healing limit. When both Trampling and Healing are involved, it first calculates YourTrampling/(Your Trampling+My Healing) and will then pick a random value from 0 to 5 and then chooses whether it is negative or positive. This gives a total of 11 random values when not approaching a limit, -5 to 5. When you have 3 times as much healing as your enemies' trampling, there is a one-eleventh chance that you will get the limit of only 20% of your wounded troops being killed. To reach the true limit, where only 6 possibilities are allowed, you must have 4 times as much healing as your enemies' trampling. When a limit is reached, it is not more likely that the limit will be rolled. For instance, when you have 4 times as much healing as your enemies' trampling, there will be a one-sixth chance you will roll a 20%, not a five-eleventh chance.
-- Azrak

Randomness in the number wounded... SOLVED! (almost)

I have found a random variable that is introduced when one army has 76.13% more attack (or more) than the other army. Niether defense nor unit count matters to when the random variable is introduced into the formula. 76.12% or less does not fall contain a random variable. It should be noted that this variable is always *NEGATIVE*. The army that has the lower attack score is the army that will recieve this bonus. In other words, if you have 76.12% more attack than your opponent, you will cause more casualties to him/her than if you had 76.13% more attack than your opponent. At this time, I am guessing that this variable subtracts the casualties by up to 15%, though the most I have actually observed is 13.2% I believe that the random value may roll nothing at all.

I am not sure if this somehow ties into the above mentioned random variable, though it is quite possible. I will say what I've found regarding this variable, though I do not understand when it is introduced. It has the same negative value as the above variable, that is the only connection I have between this and that. 3k Dwarves v. 3k Dwarves (Both Tolkien) has a random variable. Once 846 Kobolds are added on both general (didn't test on the same general due to the Tolkien Bonus), the random variable disappears. Changing the value to 845 Kobolds on one general but not the other re-inserts the random variable on only one side. 845 Kobolds on both generals (still with 3k Dwarves on each side) has a random variable on both sides. 2998 Dwarves on both sides and 846 Kobolds on both sides creates a random variable for both sides. 2998 Dwarves and 846 Kobolds on side and 3k Dwarves and 846 Kobolds creates a varaible on one side. 2998 Dwarves and 846 Kobolds on one side and 3k Dwarves and 845 Kobolds on the other has no variable. If there is any info regarding this random variable, I'd love to hear it. A response in here would be nice.

Another random variable has been observed. This random variable is normally insignificant as it is only around when the total units on both sides is less than 200. So if you have 100 units and your foe has 99, there is a bit of randomness. If your foe gains one more unit, the randomness is gone. -- Azrak