174 ratio as a stoat?

[taekwondokid42]

My defensive leader ratio was 210. How was I broken repeatedly? Clearly I don't understand how leader missions work.

[Shadow]

they must have had an attack ratio higher than 210

attack ratio is

(attacker leaders * 2)/(attacker's land + defender's land)

It can be as high as 350 assuming the attacker is on 175 leader/land, if the defender and attacker have the same amount of land.

[taekwondokid42]

That doesn't seem balanced to me, because that means a person with tons of land needs less leaders, making land-locks easier.

What is the eqn for defense?

[Shadow]

1.05 * leaders/land. This is the same code that is on reg, 3.0 didn't change it.

That doesn't seem balanced to me, because that means a person with tons of land needs less leaders, making land-locks easier.

That's not what it means at all... more land means lower ratio for a given amount of leaders. Less leader on high land = terrible ratio that is useless.

[taekwondokid42]

*a defender with tons of land needs less leaders.

[Shadow]

Oh I see what you mean. Yes and no - because less leaders means their defense ratio is also dropping while the attacker's ratio is dropping. There is a sweet spot at which the effects cancel each other out, but it's not quite as simple as saying more land means less defending leaders needed.

[Shadow]

Actually just no:

http://www.wolframalpha.com/input/?i=plot+x%2F%28x%2B100000%29+from+50000+to+150000

as defender's land increases, the attacker's ratio advantage increases

[taekwondokid42]

That graph is wrong.

Try:

(175*50000)/(25000+X), assuming an attacker on 25k land with full huts.

That will give you attacker ratio as defender land increases.

The defender needs a higher volume of leaders as he adds land, but he needs to maintain a lower ratio.

The required defender ratio as land grows (assuming an attacker on 50k land this time - more realistic) is represented with:

(175*2*50000)/(50000+x) = 1.05*y

Where Y is the required ratio

Edit: last equation was wrong

[Shadow]

you seem confused about your variables, I'll have a look after work.

anyway, in our scenario the leaders are staying the same, so you can ignore them. All that matters for ratio advantage (attack ratio / defense ratio) is the ratio defender's land / (attacker's land + defender's land), and x/(x+y) is an increasing function for fixed y.

[taekwondokid42]

http://www.wolframalpha.com/input/?i=+%28175*2*50000%29%2F%2850000%2Bx%29+%3D+1.05*y+from+x%3D15000+to+x%3D175000+from+y%3D0+to+y%3D300

I did have one equation screwed up a little but the rest is sound. The above is the equation for # of leaders that a defender needs given an attacker at 50k land and 175 leader/hut ratio. It shows that a defender at 175k land only needs a ratio of 100 leaders/land to stop an attacker on full ratio at 50k land.

[taekwondokid42]

My initial thought was 'this is unfair,' but really it's only unfair depending on what type of play you are doing.

Plus I seem to remember that this is how magic works on most promis, yes? So it must be functional. Really the fault is mine for not realizing that this is how it works. I would have seen that 60k land on 175 ratio is all it would take.

[Shadow]

ah, you're right. My mistake. And yea, as far as I know that's vanilla prom.