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The Quadratic Problem—Speculations on 4e
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<blockquote data-quote="Wulf Ratbane" data-source="post: 3753982" data-attributes="member: 94"><p>I think most folks (the main contributing ones, at least) are hip to that. </p><p></p><p></p><p></p><p>My understanding of the usage in this case is that a Level N monster is appropriate for a single Nth level PC, so you can use X Level N monsters for a party of size X.</p><p></p><p></p><p></p><p>Correct-- hence my off-hand comment a few posts back about the Mirror of Opposition. </p><p></p><p></p><p></p><p>Each of those curves is derived from the same formula, with the constants tweaked in different ways. The purpose of the thread is to try to predict</p><p></p><p>a) the starting power of 4e 1st level characters (constants <em>a</em> and <em>b</em>)</p><p></p><p>b) the rate of advancement of 4e characters (constants <em>d</em> and <em>m</em>).</p><p></p><p>And I believe that those constants are relative to each other. For example, if 4e 1st level characters start with 4 HD, and we want them to gain 1 HD per level advanced, then a=4 and d=.25. (But check me on that.)</p><p></p><p></p><p></p><p>I believe we will see the latter case. I don't think we would see the design assuming anything about any individual contest. If the PCs start whittling away the enemy, that's all well and good (we can accept this scenario as simply "good for the game"), but I think the formulas will primarily take into account the relative combat power at the time the battle starts.</p><p></p><p>To try to anticipate any relative combat power change over time would move us into calculus, which would be impressive, but I think unlikely-- and again, probably an exercise in unnecessary precision for little increase in accuracy.</p><p></p><p>So I suppose it will be a 4x power difference, and I believe we'll see it implemented just by increasing the starting HD.</p><p></p><p>Someone with SAGA edition could tell us the starting HD of a 1st level character to see if we're in the ballpark. 4HD?</p></blockquote><p></p>
[QUOTE="Wulf Ratbane, post: 3753982, member: 94"] I think most folks (the main contributing ones, at least) are hip to that. My understanding of the usage in this case is that a Level N monster is appropriate for a single Nth level PC, so you can use X Level N monsters for a party of size X. Correct-- hence my off-hand comment a few posts back about the Mirror of Opposition. Each of those curves is derived from the same formula, with the constants tweaked in different ways. The purpose of the thread is to try to predict a) the starting power of 4e 1st level characters (constants [i]a[/i] and [i]b[/i]) b) the rate of advancement of 4e characters (constants [i]d[/i] and [i]m[/i]). And I believe that those constants are relative to each other. For example, if 4e 1st level characters start with 4 HD, and we want them to gain 1 HD per level advanced, then a=4 and d=.25. (But check me on that.) I believe we will see the latter case. I don't think we would see the design assuming anything about any individual contest. If the PCs start whittling away the enemy, that's all well and good (we can accept this scenario as simply "good for the game"), but I think the formulas will primarily take into account the relative combat power at the time the battle starts. To try to anticipate any relative combat power change over time would move us into calculus, which would be impressive, but I think unlikely-- and again, probably an exercise in unnecessary precision for little increase in accuracy. So I suppose it will be a 4x power difference, and I believe we'll see it implemented just by increasing the starting HD. Someone with SAGA edition could tell us the starting HD of a 1st level character to see if we're in the ballpark. 4HD? [/QUOTE]
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