User:Illviljan/labyrinth

Flat, additive and multiplicative stats

• Flat stats usually use a form of the the word add. They stack additively with other flat stats of the same scope. Resistances are flat stats which use the word increased and are represented as percentages, and so are notable exceptions to the general rules.
• Additive stats are usually percentages and use forms of the the words increase or reduce. They stack additively with other additive stats of the same scope.

${\text{Total increased and reduced}}=(1+\sum _{i=1}^{b}(increased_{i}-reduced_{i}))=(1+increased_{1}-reduced_{1}+increased_{2}-reduced_{2}+...++increased_{b}-reduced_{b})$

• Multiplicative stats are usually percentages and use forms of the words more or less. They stack multiplicatively with other multiplicative stats of the same scope. A multiplicative stat's internal ID can usually be identified by the suffix "_final".

${\text{Total more and less}}=\prod _{i=1}^{b}((1+more_{i})*(1-less_{i}))=(1+more_{1})*(1-less_{1})*(1+more_{2})*(1-less_{2})*...*(1+more_{b})*(1-less_{b})$

What this means in plain English is that you add the various "increased" effects together into a single multiplier, and multiply the base stat by the result, whereas you multiply the base stat by each "more" effect in turn; see the example below.