Some relevant list entries from OP (the numbers are the survivors against an AI enemy of unchanging size):
90.35% -- Dutch - 3 Defense : 1 Goedendag -- (84.66% Against 50% Larger Enemy)
87.51% -- Goedendag Militia -- (24.82% Against 50% Larger Enemy)
79.60% -- 3 Defense : 1 Light Skirmish -- (62.65% Against 50% Larger Enemy)
79.47% -- Generic Defense -- (75.31% Against 50% Larger Enemy)
Hey guys
Please help me mith my math problem:
Why is the 3 Defense : 1 Goedendag mix stronger then Defense alone? It doesn't seem do affect any tactics, so why is is so much better? Can anybody enlighten me?
Hi Twogs,
In short, it does affect tactics.
There are a few things going on here, although it may not be intuitive. (Ultimately, it's just a calculation. The spreadsheet is not based on this kind of explanation. This kind of explanation is written as an aid to understanding.)
Because the Defense retinues contain both pikemen and archers, they do not have the virtuous tactical benefits of a truly pure pikeman retinue (which use only "General Skirmish" at first and will thus transition from skirmish sooner). Their initial skirmish possibilities are:
General Skirmish (3 days)
Volley (18 days)
Shieldwall (12 days)
The 3 Defense : 1 Goedendag (and the 3 Defense : 1 Light Skirmish) has these possibilities:
General Skirmish (3 days)
Volley (18 days)
Shieldwall (12 days)
Feint (12 days)
The advantage may be counter intuitive, because Feint is strictly inferior to Shieldwall. The more important factor to notice, however, is that Volley is inferior to both, given the composition of units. The main reason that Volley is inferior is that it extends the duration of the skirmish phase by another six days.
Other minor, less important things to note are that archers are basically inferior to light infantry (on a retinue cap cost basis) and that the pikemen within a Goedendag retinue (+60% offense / +20% defense) with capped out cultural buildings have better bonuses than those in a Defense retinue (+20% offense / +40% defense).
Pure Goedendag comes close because it shares the tactical virtues of a pure pikeman retinue. But it only comes close because a lower proportion of the retinue cap is spent on pikemen (49% spent on pikemen), when compared to the spend within the generic Defense retinue (83% spent on pikemen).
Hypothetically, Goedendag could be better if it had less light infantry. It is mixed in for the tactics, not for the light infantry themselves.