I've just played a game where rate at which city-state influence declined was a bit puzzling.
A) I started with the usual decline rate of 1.0.
B) After getting the patronage benefit it decreased to 0.75.
C) Some time later it increased to 1.12
D) After the Persians were wiped out it decreased back to 0.75.
E) Some time later I got a message onscreen saying that Odo had implemented a policy that changed the decline of my city state influence. It was the first time I'd seen this message and it was good to know! I checked and it was now declining by 1.62.
I can't verify turn by turn whether there was any change between D and E.
The 0.75 seems to be the right number from patronage. The policy 'United Front' is described as "Other player's city state influence points decrease 33% faster."
The way that you combine 25% and 33% to get 1.12 is as follows: 1 x 0.75 / 0.66 = 1.12. However dividing by 0.66 is not decreasing 33% faster, it is decreasing 50% faster (comparer multiplying by 3/2 with dividing by 2/3). This makes me believe that the effect from united front is not calculated to meet its description.
So what about 1.62? I'm not sure. It could be (1 x 0.75 / 0.66 ) + 0.5, but where does the extra 0.5 come from?
I had a look in the manual, foolishly, and noticed the following. The manual says that "Patronage is a useful policy for those wanting to enhance their friendship status with citystates. Upon adoption, Influence with City-States degrades 50% slower than normal." so that's clearly wrong.
The manual also lists the Forbidden Palace as "Influence with all City-States increased by 50%". The in game description differs and I'd assumed the in-game description was correct and the Forbidden Palace had no effect on city states. Odo had built the Forbidden Palace at some stage however so ... who knows?
A) I started with the usual decline rate of 1.0.
B) After getting the patronage benefit it decreased to 0.75.
C) Some time later it increased to 1.12
D) After the Persians were wiped out it decreased back to 0.75.
E) Some time later I got a message onscreen saying that Odo had implemented a policy that changed the decline of my city state influence. It was the first time I'd seen this message and it was good to know! I checked and it was now declining by 1.62.
I can't verify turn by turn whether there was any change between D and E.
The 0.75 seems to be the right number from patronage. The policy 'United Front' is described as "Other player's city state influence points decrease 33% faster."
The way that you combine 25% and 33% to get 1.12 is as follows: 1 x 0.75 / 0.66 = 1.12. However dividing by 0.66 is not decreasing 33% faster, it is decreasing 50% faster (comparer multiplying by 3/2 with dividing by 2/3). This makes me believe that the effect from united front is not calculated to meet its description.
So what about 1.62? I'm not sure. It could be (1 x 0.75 / 0.66 ) + 0.5, but where does the extra 0.5 come from?
I had a look in the manual, foolishly, and noticed the following. The manual says that "Patronage is a useful policy for those wanting to enhance their friendship status with citystates. Upon adoption, Influence with City-States degrades 50% slower than normal." so that's clearly wrong.
The manual also lists the Forbidden Palace as "Influence with all City-States increased by 50%". The in game description differs and I'd assumed the in-game description was correct and the Forbidden Palace had no effect on city states. Odo had built the Forbidden Palace at some stage however so ... who knows?
