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Oct playtest magic items are legend---wait for it--ary!
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<blockquote data-quote="Balesir" data-source="post: 6031872" data-attributes="member: 27160"><p>Perhaps I can help you, here.</p><p></p><p>Let us take an example character who, without "bonus" protection, is hit by a monster's attacks 60% of the time. In this state, we can say that they will last out against the monster's attacks for a number of rounds, N.</p><p></p><p>Now suppose they get a defence bonus of 20%, such that they are now hit by the monster's attacks only 40% of the time. We'll assume that, with this bonus, the monster's attacks still deal the same damage, so the character will now, on average, last 1.5N rounds before falling to the same monster.</p><p></p><p>Finally, let's suppose that the character acquires another 20% defensive bonus that stacks with the first. The character is now hit by the monster's attacks only 20% of the time (60 - 20 - 20). If the second bonus were merely "additive", we would expect the character to last 2.0N rounds against the monster, given that a single bonus allowed them to last 1.5N rounds. If the bonus were even "multiplicative", we could expect the character to last 2.25N rounds (1.5 * 1.5 times as long as with no bonus). But in fact it's even more extreme than multiplicative. The character with two bonuses actually lasts, on average, 3N rounds against the same monster attacks. By (at least) one measure of "effectiveness", therefore, the two bonuses are beyond "multiplicative" - they are highly exponential. This, I think, is where [MENTION=17077]Falling Icicle[/MENTION] perceives a problem, especially if the system is supposedly based on the concept of "bounded accuracy".</p></blockquote><p></p>
[QUOTE="Balesir, post: 6031872, member: 27160"] Perhaps I can help you, here. Let us take an example character who, without "bonus" protection, is hit by a monster's attacks 60% of the time. In this state, we can say that they will last out against the monster's attacks for a number of rounds, N. Now suppose they get a defence bonus of 20%, such that they are now hit by the monster's attacks only 40% of the time. We'll assume that, with this bonus, the monster's attacks still deal the same damage, so the character will now, on average, last 1.5N rounds before falling to the same monster. Finally, let's suppose that the character acquires another 20% defensive bonus that stacks with the first. The character is now hit by the monster's attacks only 20% of the time (60 - 20 - 20). If the second bonus were merely "additive", we would expect the character to last 2.0N rounds against the monster, given that a single bonus allowed them to last 1.5N rounds. If the bonus were even "multiplicative", we could expect the character to last 2.25N rounds (1.5 * 1.5 times as long as with no bonus). But in fact it's even more extreme than multiplicative. The character with two bonuses actually lasts, on average, 3N rounds against the same monster attacks. By (at least) one measure of "effectiveness", therefore, the two bonuses are beyond "multiplicative" - they are highly exponential. This, I think, is where [MENTION=17077]Falling Icicle[/MENTION] perceives a problem, especially if the system is supposedly based on the concept of "bounded accuracy". [/QUOTE]
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