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The Quadratic Problem—Speculations on 4e
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<blockquote data-quote="mmadsen" data-source="post: 3752275" data-attributes="member: 1645"><p>If we look at the four "brute" qualities -- to-hit probability, damage, avoid-hit probability, and hit points -- we should note that to-hit probability increases linearly (if we assume the same target across all levels), damage does not increase at all, avoid-hit probability does not increase at all, and hit points increase linearly.</p><p></p><p>Thus, a Fighter's power <em>does</em> increase <em>quadratically</em> with level.</p><p></p><p>This is all going purely from the class though, assuming no improvements in equipment. With equipment, the Fighter increases to-hit even faster and increases damage and AC too.</p><p></p><p>My understanding is that 4E characters will increase their avoid-hit probability linearly with level, but I don't believe that they will necessarily increase their damage. That would imply that a 4E Fighter's power would increase as a <em>cubic</em> function of level, or a third-degree polynomial.</p><p></p><p>This all raises the issue of how characters, or martial characters and "brute" monsters, should advance. Should they increase all four "brute" qualities linearly? It is odd that historically Fighters improved to-hit very, very slowly, damage not at all, AC not at all, and hit points rapidly, then very, very slowly.</p></blockquote><p></p>
[QUOTE="mmadsen, post: 3752275, member: 1645"] If we look at the four "brute" qualities -- to-hit probability, damage, avoid-hit probability, and hit points -- we should note that to-hit probability increases linearly (if we assume the same target across all levels), damage does not increase at all, avoid-hit probability does not increase at all, and hit points increase linearly. Thus, a Fighter's power [i]does[/i] increase [i]quadratically[/i] with level. This is all going purely from the class though, assuming no improvements in equipment. With equipment, the Fighter increases to-hit even faster and increases damage and AC too. My understanding is that 4E characters will increase their avoid-hit probability linearly with level, but I don't believe that they will necessarily increase their damage. That would imply that a 4E Fighter's power would increase as a [i]cubic[/i] function of level, or a third-degree polynomial. This all raises the issue of how characters, or martial characters and "brute" monsters, should advance. Should they increase all four "brute" qualities linearly? It is odd that historically Fighters improved to-hit very, very slowly, damage not at all, AC not at all, and hit points rapidly, then very, very slowly. [/QUOTE]
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