A general question : Can we find the best defender for each situation?
Let’s start again from the answer: YES!
It is possible, for each type of troop, to draw the curve (a line in fact) that represents its defensive performances in relation to the various compositions of the attack. While the extremes of this curve are already known (a Praetorian is worth 65 when the attack is 100% infantry and 35 when it is 100% cavalry), it is extremely interesting to check the values in different scenarios.
In order to make the performance dependent from a single variable, X, we will call:
• X = % of the TAP generated by infantry
• (1 - X) = % of the TAP generated by cavalry
The defensive performance curve of a praetorian will be therefore given by: 65 * X + 35 * (1 – X); and will look as follows
This curve alone doesn’t say much more than what we already knew: Praetorian’s performance decreases when the % of cavalry increases.
In order to get additional information, it’d be good to add to the graph the curve of the other defensive unit of the Romans: Legionnaires.
What do we have now? Well, now we see something truly important: the point where a Legionnaire starts to perform better than a Praetorian. This point where the lines cross is at 33,33%, so:
• Infantry > 33,33% → a Praetorian defends better than a Legionnaire
• Infantry = 33,33% → there’s no difference between a Praetorian and a Legionnaire
• Infantry < 33,33% → a Legionnaire is better than a Praetorian
Though this shows which troops would be best to use in each situation, it is worth to underline one thing: higher volumes are always good while defending.
If you’re under attack and your enemy is sending 100% infantry, the best would be to feed praets. However, if you have more crop than praets, any sort of reinforcement is welcome!
The same reasoning can be applied to the other tribes as well.
Compared to Romans, Teutons have something in common and something different: both tribes have 2 defensive units, but while Romans train them both in the barrack, Teutons also need a Stable for Paladins.
Though this fact has various implications, the only one that matters in here is that cavalry eats more crop than infantry.
In order to make all units comparable, we are going to measure their performances per 1 crop.
So, the curves for Teutons will be the following:
Spearfighter = 35 * X + 60 * (1 – X)
Paladin = 100/2 * X + 40/2 * (1 – X) = 50 * X + 20 * X
The point where the lines cross is at 72,73%, so:
• Infantry > 72,73% → it is better to spend crop feeding Paladins than feeding Spearfighters
• Infantry = 72,73% → there’s no difference between a spending your crop on Paladins or on Spearfighters
• Infantry < 72,73% → it is better to spend crop feeding Spearfighters than feeding Paladins
As we can see from the two graphs, Romans and Teutons are completely different tribes: the former is extremely well equipped to face mainly-infantry attacks, the latter offers excellent defensive performances against mainly-cavalry attacks.
Chapter 2
What makes Gauls different defense-wise?
Gauls have 3 defensive units instead of two. Though it’s basically offensive (and so it is used most of the times), Haeduan is a unique unit thanks to a Dc = 165.
As we've done in the previous chapter, in order to compare units we'll take into account the performances they offer per 1 crop and draw the curves:
• Druidrider = 115/2 * X + 55/2 * (1 – X) = 57,5 * X + 27,5 * (1 – X)
• Phalanx = 40 * X + 50 * (1 – X)
• Haeduan = 50/3 * X + 165/3 * (1 – X) = 16,67 * X + 55 * (1 – X)
The situation for Gauls is the following:
• Infantry > 56,25% → Crop should be used to feed Druidriders
• Infantry = 56,35% → Feeding Druidriders or Phalanxes doesn’t make difference
• 56,25% <> 17,65% → Crop should be used to feed Phalanxes
• Infantry = 17,65% → No difference between feeding Phalanxes or Haeduans
• Infantry < 17,65% → Crop should be used to feed Haeduans
It is also interesting to compare Gauls with Romans and Teutons.
As it happens elsewhere as well, Gauls are the in-between tribe. Note that the graph only shows top performing units by tribe.
No comments:
Post a Comment