On vh I never got above reliable. The normalisation is really hard on you.
I have a nice game with about 10 allies atm so maybe I can manage it, but it's hard:
The normalisation for allies is 1/400 to 1.0 while there's a normalisation of 1/200 to 0.0 in general each turn and 1/800 to -1.0 for each war.
This translate to a change (if you don't do anything) of:
a=a*199/200 at FactionTurnStart
a=1/400 - a/400 for each ally
a=-1/800 + a/800 for each opponent
Let's calculate the ally formula:
Let a be your global standing at turn start and n the number of allies
Our function is: f: R->R: a |-> a*(1-1/400)+1/400
So f(a)=a*399/400 + 1/400
Plugging this in recursively, gives us f^2(a)=a*(399/400)^2+399/400^2+1/400
Doing that a bit more often, we arrive at:
a*(399/400)^n + sum k _from 0 to n-1_ (1/400*(399/400)^k)
The sum term is the same for each a and only depends on n, and is nearly linear for small n (it's about n*1/400 because 399/400 is very close to 1)
For those more deeply interested, here's a little table with the first 11 values:
The rest term obviously depends on a, so if we assume a start of turn value of 0, a number of allies of 10, with no enemies, we arrive at a rough turn gain of a bit less than 1/40, or 0.0245
The next turn, it'll be less; about 0.0240 resulting in a total of 0.0486
If I continue like this, to get to 0.25 which is the very reliable threshold if I'm not mistaken, should take about 12 turns.
However, if I break an alliance, have enemies or something it'll probably be far longer.
By the way, theoretically I should be able to get even to Very Trustworthy which triggers at 0.6, but it'd take 43 turns without enemies or any affronts.
Re: Reputation - has anyone ever had better than Very Trustworthy
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