Difference between additive and multiplicative %

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l3th4l wrote:

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MBata wrote:

if i hit 5 additive 4% nodes to a skill that is at 50% it would be 50% + (5*4%) = 70%, right?

if i hit 5 multiplicative nodes to a skill that is 50%*1.04^5 = 60.8%, right?

be more specific. which skill specifically are you talking about?

0.5 + (0.05 + 0.05 + 0.05 + ... + 0.05) would be additive,
0.5 * (1 + 0.05 + 0.05 + 0.05 + ... + 0.05) multiplicative.

edit: or rather 0.04 for the 4% in your example

so there are three options?

0.5 +(0.04 + 0.04 + 0.04 + 0.04 + 0.04) = 0.7
0.5 * (1 + 0.04 + 0.04 + 0.04 + 0.04 + 0.04) = 0.6
0.5 * (1.04 * 1.04 * 1.04 * 1.04 * 1.04) = 0.608

Look at my last example -- this is compounding. Do any of the increases "compound"?

If I get 10% more block, is it better than 10% increased blocking? What if i stack each 5 times and have a base blocking of 20%?

Do i block at 70%, 32.2%, or 30%?

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MBata wrote:

so there are three options?

0.5 +(0.04 + 0.04 + 0.04 + 0.04 + 0.04) = 0.7
0.5 * (1 + 0.04 + 0.04 + 0.04 + 0.04 + 0.04) = 0.6
0.5 * (1.04 * 1.04 * 1.04 * 1.04 * 1.04) = 0.608

Look at my last example -- this is compounding. Do any of the increases "compound"?

If I get 10% more block, is it better than 10% increased blocking? What if i stack each 5 times and have a base blocking of 20%?

Do i block at 70%, 32.2%, or 30%?

You get 50% more block because the node is "X% ADDITIONAL Shield Block Chance."

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MBata wrote:

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l3th4l wrote:

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MBata wrote:

if i hit 5 additive 4% nodes to a skill that is at 50% it would be 50% + (5*4%) = 70%, right?

if i hit 5 multiplicative nodes to a skill that is 50%*1.04^5 = 60.8%, right?

be more specific. which skill specifically are you talking about?

0.5 + (0.05 + 0.05 + 0.05 + ... + 0.05) would be additive,
0.5 * (1 + 0.05 + 0.05 + 0.05 + ... + 0.05) multiplicative.

edit: or rather 0.04 for the 4% in your example

so there are three options?

0.5 +(0.04 + 0.04 + 0.04 + 0.04 + 0.04) = 0.7
0.5 * (1 + 0.04 + 0.04 + 0.04 + 0.04 + 0.04) = 0.6
0.5 * (1.04 * 1.04 * 1.04 * 1.04 * 1.04) = 0.608

Look at my last example -- this is compounding. Do any of the increases "compound"?

If I get 10% more block, is it better than 10% increased blocking? What if i stack each 5 times and have a base blocking of 20%?

Do i block at 70%, 32.2%, or 30%?

hehe. i forgot that there are different modifiers, thx Porkeh :)
you can read about it here

the additive modifier i posted before only applies to a few things, like resitances for example which are usually denoted with + x % resitances or key words like additional and so on. so no you wont get 70% if it says "increased" or "more"..
if you stack 5 times 4% "more" block you'd get the compounded result - stack 5 times "increased" and you get the other.
not much difference but they might behave different when combined with other sources. you'd better check the wiki for that to be sure.

edit: ofc. if it says additional then use the first ;)

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l3th4l wrote:

hehe. i forgot that there are different modifiers, thx Porkeh :)
you can read about it here

So, in the article it states that "% increased and % reduced stack additively" and "while "% more" and "% less" modifiers stack multiplicatively"

So if i have several 4% increased, then it is:
Base + (4% + 4% + ... + 4%)

But if it is several 4% more, then it is:

Base * (1 + 0.04 + 0.04 ... + 0.04)

Now for the natural follow up, are there any modifiers that can either be modified through additive or multiplicative stacking?

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MBata wrote:

So, in the article it states that "% increased and % reduced stack additively" and "while "% more" and "% less" modifiers stack multiplicatively"

So if i have several 4% increased, then it is:
Base + (4% + 4% + ... + 4%)

But if it is several 4% more, then it is:

Base * (1 + 0.04 + 0.04 ... + 0.04)

4% increased: Base * (1 + 0.04 + 0.04 + ... + 0.04)
4% reduced: Base * (1 - 0.04 - 0.04 - ... - 0.04)
4% more: Base * (1 + 0.04) * (1 + 0.04) * ... * (1 + 0.04)
4% less: Base * (1 - 0.04) * (1 - 0.04) * ... * (1 - 0.04)

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MBata wrote:

Now for the natural follow up, are there any modifiers that can either be modified through additive or multiplicative stacking?

can't tell you for sure off the top of my head but i think so.

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MBata wrote:

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l3th4l wrote:

hehe. i forgot that there are different modifiers, thx Porkeh :)
you can read about it here

So, in the article it states that "% increased and % reduced stack additively" and "while "% more" and "% less" modifiers stack multiplicatively"

So if i have several 4% increased, then it is:
Base + (4% + 4% + ... + 4%)

But if it is several 4% more, then it is:

Base * (1 + 0.04 + 0.04 ... + 0.04)

Not quite.

Several 4% "increased" nodes would get you:
Base * (1 + 0.04 + 0.04 + ... + 0.04)

By contrast, 4% "more" nodes would get you:
Base * (1.04) * (1.04) * (1.04) * ... * (1.04)

Mind you, you won't find any "4% more" nodes - multiplicative effects are powerful and can be difficult to balance, but they lack psychological impact if they're too low.

Also note, that block and resistances are - or should be - labeled "additional": the resulting number is a percentage (and capped at 75%), but all methods of increasing them through the passive tree stack additively.

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Skivverus wrote:

Also note, that block and resistances are - or should be - labeled "additional": the resulting number is a percentage (and capped at 75%), but all methods of increasing them through the passive tree stack additively.

Pretty sure that block is capped at 95%