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Survivor 5E Dragons - Gold Dragon Proves its worth!
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<blockquote data-quote="EzekielRaiden" data-source="post: 8169440" data-attributes="member: 6790260"><p>I prefer splitting. You learn a lot less if you have too many things crowded together.</p><p></p><p></p><p>Correct, but because you upvote by 1 and downvote by 2, the <em>total sum of scores</em> always drops by 1 with each vote, unless part of a downvote is "wasted" by being spent on killing off something at 1 (which leaves the total sum of scores unchanged). That's what I meant by "things drop by 1," which I admit was unclear.</p><p></p><p>The minimum final score is 2 (which only happens if the last two options grind all the way down to 1 v 1). Since the total either decreases with every vote, or remains unchanged, even actively trying to slow it down cannot avoid killing off targets <em>eventually.</em> (In math this is called "weakly decreasing": it never goes <em>up</em>, but it doesn't ALWAYS go down.)</p><p></p><p>Thus, the maximum possible amount of votes to determine a winner is (current sum of scores)-2, not counting any "wasted" votes. This is only really possible if people are intentionally spreading their votes around to keep everything on the similar level. Likewise, the minimum number of votes to win is (total scores of all but the highest current option)/2, which again could only really happen if everyone always up votes a single option and down votes all other options.</p></blockquote><p></p>
[QUOTE="EzekielRaiden, post: 8169440, member: 6790260"] I prefer splitting. You learn a lot less if you have too many things crowded together. Correct, but because you upvote by 1 and downvote by 2, the [I]total sum of scores[/I] always drops by 1 with each vote, unless part of a downvote is "wasted" by being spent on killing off something at 1 (which leaves the total sum of scores unchanged). That's what I meant by "things drop by 1," which I admit was unclear. The minimum final score is 2 (which only happens if the last two options grind all the way down to 1 v 1). Since the total either decreases with every vote, or remains unchanged, even actively trying to slow it down cannot avoid killing off targets [I]eventually.[/I] (In math this is called "weakly decreasing": it never goes [I]up[/I], but it doesn't ALWAYS go down.) Thus, the maximum possible amount of votes to determine a winner is (current sum of scores)-2, not counting any "wasted" votes. This is only really possible if people are intentionally spreading their votes around to keep everything on the similar level. Likewise, the minimum number of votes to win is (total scores of all but the highest current option)/2, which again could only really happen if everyone always up votes a single option and down votes all other options. [/QUOTE]
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