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For example, I don't think the "No single source of damage you take can exceed X% of max health" one stacks, also I don't think you can stack more than 2 effects of the "-X% damage taken from champions and bosses" one for obvious reasons.
1000 - 1000x0.3 - 1000x0.3x0.2 = 560
not 1000 - 1000x(0.3+0.2) like you would hope.
I think chance based effects work the same, i.e. weapons that convert to fire attack 20% of the time with tam'ok's breath 50% will result in 60% fire attacks, but im not sure about this one.
Positive damage effects work additive on base damage and same items stack. So having two +45% poison damage relics will yield a damage bonus of: (base damage) x 90%.
Healing effects that heal a certain % of your MAX HP stack with their own kind and general healing boost relics, but not with other MAXHP heal effects.
Meaning, if you have a fire claw that heals 1% of MAX HP on a kill, a blazing ring that heals 3% MAX HP, another Blazing Ring that heals 2% MAXHP, and one of those very rare (and very bad) "greed kills heal 1% MAXHP" items, you would heal 5% (both blazing rings) on a fire claw kill. The weaker two effects get ignored.
Probability of fire of weapon+(Probability of not fire of weapon*probability of Tamok)=20%+80%*50%=60%
but not because stacks giving diminishing returns, but because that's how probability works.
From what I've seen they do stack. They don't show up correctly, though. In such cases i remember having healed what would correspond to 7% (It only shows 5% because the visual effects of the healing overlap, but I still see the 7% healed when I calculate the difference in health).
Lemme see if I can test it.
Edit: I just tested it with lighting shield with 1%, burning kill 1% relic and 100% bonus healing relic, with 1200 health. Visually, it shows like I'm healing 24 per kill, but according to the health bar I'm healing 48 per kill.
Also, my statement about diminishing returns refers to effects like Temlar amulet or Worshippers Cloak. The fact that two common Cloaks with the description "-10% gold offering cost" only result in a -19% reduction is very counter-intuitive.
Good to know. I just took the displayed number at face value. I stand corrected.