Honor dropping in detail

[dxter]

For some reason the plots in this thread don't show up some of the time. If you can't see the plots try logging into bbs.evony with your user account and see if that helps.

The following plot is data I generated using 80 scouts to attack cataphracts with heroes such that no phracts die and all scouts die. I started with attacker having high honor and defender having low honor and kept attacking until the honor was reversed, and kept track of the respective honors and the honor drops. I've read elsewhere that the honor changes in the 30% heal range from 100 to 33.3% but it actually changes from 100 to 25%. Based on this data it is best to drop honor at the 30% heal range just over the 20% boundary (good heal and good honor drop) and worst to attack in the 30% heal range just before the 40% boundary (bad heal and bad honor drop). So look to drop honor on someone where (their_honor / your_honor) ~ 0.51 (just past the 20%/30% heal boundary), for example. In practice, this situation is probably unlikely so your next best choice is to drop honor when you are in the 20% range. You actually break even with the 20% heal when (their honor / your honor) = 0.5714, so 0.5 < (their honor / your honor) < 0.5714 is a good range, if you are lucky enough to find it. When hitting trebs, since the defenders heal doesn't apply, and you want the attacker to have good heal, it is best to hit in the 10% heal (50% from the attackers perspective) range.

For more details about the best regions to drop honor check this post.



The above curve can be summarized with the equations below, and a plot of the equation that describes the 30% range can be viewed here.

if       th=0 and yh=0   then %honor_drop = 50 special case
if       (th / yh) = 0   then %honor_drop = 25 special case
if   0 < (th / yh) < 0.5 then %honor_drop = 100
if 0.5 < (th / yh) < 2   then %honor_drop = 50 / (th / yh)
if       (th / yh) > 2   then %honor_drop = 25

I'm not certain what the heal rate is if (their honor / your honor) equals exactly 0.5 or 2, but that is pretty unlikely to occur.

I want to credit Naems' Honor Dropping thread for documenting much of how this stuff works.

Raw data is attached.

[whodathunk]

All fine and dandy, but I still can't figure out where honor medals drop

Looks like you've gathered some nice data, but I am unable to open the attachment...

Edit: Got it now! Interesting +rep

[dylo48]

thats confusing lol

[DCJerboa]

+Rep dxter. Great stuff

[un3x]

25%+[log(your_honor / their_honor )]^2 caped at 100%?

[Threefifty]

Hm,
I often drop with a cav cat scout combo..
wonder if the efficiency range remains the same

[dxter]

25%+[log(your_honor / their_honor )]^2 caped at 100%?

In the 30% range

percentage = 50 / (their honor / your honor)

fits the data perfectly.

Note that in the plot below it is not necessary to use a log scale from 0.5 to 2.

[dxter]

Hm,
I often drop with a cav cat scout combo..
wonder if the efficiency range remains the same

Count the (number of troops you loose) and the (number you kill) and calculate

max_drop_total = (dead_cav*max_cav_drop + dead_cat*max_cat_drop + dead_scouts*max_scout_drop) - (dead_DtroopA*max_Dtroop_drop + ...)

Before you make the hit write down your honor and their honor to get th/yh and divide your actual honor drop by max_drop_total and see if your honor drop follows the above curve.

[DeadlySinners]

In the 30% range

percentage = 50 / (their honor / your honor)

fits the data perfectly.

Wish I had seen this bit BEFORE I went through the trouble of getting your raw data in a form I could use and then playing around with the numbers.

I can confirm this result based on your numbers.

Let Y be the Percent of maximum honor drop
Let X be the ratio attacking honor to defending honor

Y=1 ............ if 2<X
Y=0.5*X ...... if 0.5<X<2
Y=0.25 ........ if X<0.5


Also, Y=0.25 if defending honor is 0

[dxter]

It is worth pointing out that your opponent will gain the same amount of honor that you drop, so if you are trying to give an opponent honor you want to follow the same strategy as dropping your own honor. An additional bonus of moving just into the 30% range (besides you getting 30% vs 20% heal) is that it will bump your opponent from the 40% heal to the 30% heal. You win twice or 3 times or something like that

One more thing is that this also applies if you are trying to drop honor as the defender. You would do best if the attacker had a little over 50% of your honor. That is why I called it (their honor / your honor) instead of (defenders honor / attackers honor). Note that if you are dropping honor as a defender and the attacker loses the battle, the attacker will not gain any honor.