Natural relation gravitation

[Seravy]

At end of each turn, the relation between wizards moves towards the "starting" value slowly by a random amount.
As is, the closer the relation to 0, the faster this movement is, and if the change would be negative, the effect is cut to 1/3 of the usual amount.

This means relations change by this much each turn for each REL score depending on which direction it needs to move :
0 REL : +1 or -1/3 per turn
+ or -25 REL : +0.82 or - 0.27 per turn
+ or - 50 REL : +0.64 or - 0.21 per turn
+ or - 100 REL : +0.28 or - 0.09 per turn.

I'm not sure if we like this? Basically, the further away the relation is from neutral, the weaker the effect. This means, for strong negative relations (war) the relation starts growing very slowly, and accelerates over time, quickly reaching the highest possible -25 about afterwards. This might be fine I guess, it shouldn't be too easy to make quick peace on a new war.
But for positive relation, the better the relation, the faster it grows (yes grows, having a Wizard's Pact or Alliance adds a bonus far exceeding the natural reduction, +1 per turn for Wizard's Pact and +1.33 for Alliance) meaning once there is a wizard's pact, it'll naturally max out over time unless penalties are received from other sources, and the natural gravitation pretty much has no effect at all. If time permits - and it usually does since the Wizard's Pact prevents aggression in most cases - an Alliance requires no effort to achieve at all. I'm not sure this sort of a positive feedback system is a good? Might be part of the reason why Aura of Majesty is so powerful, too.
Or are we ok with it? Maintaining a Wizard's Pact does come with some responsibilities on movement afterall...

[Seravy]

After giving this more thought, I propose the following system :

Natural gravitation = + (Starting REL-REL)/80, regardless of direction and containing no random elements.
Wizard's Pact bonus = +0.66 REL per turn on average but containing random elements
Alliance bonus = +1 REL per turn on average but containing random elements

This means the following :
If no treaty, relation will tend towards the starting amount, the further away the faster, which is the opposite of the current system. This means higher starting relations will very slightly speed up peace treaties on war although the effect there is minor according to my calculations, and peace rolls consider other variables as well.
If wizard's pact, REL tends towards the starting amount +53.28 meaning, if starting REL is neutral then it can grow close to where an alliance is possible, if it's higher, it'll even exceed the bare minimum, allowing an easy alliance like the current system. However if the starting REL was way below 0, then the pact will only raise REL to a lower amount and keep it there, for example a starting REL of -30 will only reach around +22, enough to keep the pact stable for most cases but unlikely to turn into an Alliance without additional action.
In case of an Alliance, it's similar but the stable point is +80 from the starting amount, so a good starting relationship means the maximal +100 will happen eventually, neutral is enough for +80 (friendly), and even if the relation was bad (like -30), it'll be enough to keep the alliance stable at ~+50 if there is no provocation in almost all cases.