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<blockquote data-quote="mmadsen" data-source="post: 5789366" data-attributes="member: 1645">Yes, and those four value compound, so that a character who hits twice as often for twice as much damage, and who gets hit half as often and can take twice as much damage, ends up 16 times as powerful -- which is actually powerful enough to take on four times as many enemies (via Lanchester's Square Law).Agreed.&nbsp; It's the many stacking bonuses that add up to a problem.&nbsp; Keeping only the largest bonus makes the math work, but it leads to &quot;worthless&quot; +1 items, hand-me-down amulets, etc.Now, as I've already mentioned, big bonuses have different effects at different points along the d20 range.&nbsp; Near the middle of the range, each plus or minus one involves a factor of roughly 1.1.&nbsp; Near one end of the range, a plus or minus one involves a factor of 2 (hitting or getting hit only on a 20 vs. 19 or 20); on the other, a factor of 1.06 (hitting or getting hit on a 3-20 vs. 2-20).</blockquote>

[QUOTE="mmadsen, post: 5789366, member: 1645"] Yes, and those four value [i]compound[/i], so that a character who hits twice as often for twice as much damage, and who gets hit half as often and can take twice as much damage, ends up 16 times as powerful -- which is actually powerful enough to take on [i]four[/i] times as many enemies (via [i]Lanchester's Square Law[/i]). Agreed. It's the many stacking bonuses that add up to a problem. Keeping only the largest bonus makes the math work, but it leads to "worthless" +1 items, hand-me-down amulets, etc. Now, as I've already mentioned, big bonuses have different effects at different points along the d20 range. Near the middle of the range, each plus or minus one involves a factor of roughly 1.1. Near one end of the range, a plus or minus one involves a factor of 2 (hitting or getting hit only on a 20 vs. 19 or 20); on the other, a factor of 1.06 (hitting or getting hit on a 3-20 vs. 2-20). [/QUOTE]

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