[Fast Tracked] (5-A) Smooth Extra Influence Decay

[Recursive]

Stealing this proposal from @azum4roll.

Current Influence decay rate:
If influence is lower than resting point:

Influence change per turn = 1 + Same religion bonus (0.5) + Greece UA bonus (1)​

If influence is higher than resting point:

Base change rate B = -2 if the civ has declared war on a CS twice, -1.5 if CS is Hostile, -1 otherwise​

Extra decay E = floor((Current influence - Resting influence) / 100) ^ 1.5​

Fail to protect modifier F = 300% if CS capital is damaged while civ has pledged to protect it, 100% otherwise​

Decay modifier D = 1 - Same religion bonus (25%) - Greece UA bonus (50%)​

Final influence change = (B - E) * F * D​

Proposal:
Extra decay E = floor(((Current influence - Resting influence) / 100) ^ 1.5)

Or in other words, make the rounding down happen after the exponent is applied.

Rationale:
Instead of a sudden jump at 100, 200, 300, 400, etc. Influence, this will make the Influence decay gradual, which is less artificial, more consistent and more fair, especially at higher Influence totals.

This also means the extra decay will apply at values lower than 100.

 

[Stalker0]

@axatin @Hinin I'm wondering if we consider this a fast track, I consider it more a QoL than any real balance change.

Hell I would estimate most of the community assumes it works this way already, and probably doesn't know that it works in large blocks.

 

[Recursive]

Since you all agree, I'll just go ahead and implement it.

Proposal fast-track accepted on July 4, 2023.