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Survivor Appendix E (5e) Authors- Ursula K. LeGWINS!
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<blockquote data-quote="CleverNickName" data-source="post: 7501472" data-attributes="member: 50987"><p>Yesterday, there was some math. Something didn't look right about those calcs, so I modeled it in Excel. [SPOILER="Because I can't stop beating a dead horse"]If everyone "dogpiles" their votes...meaning, everyone upvotes the same option every round, and also downvotes another target every round until it is eliminated then moves on to downvote another target and etc....the contest will be over after X votes, where X = (number of contestants minus 1)<strong><span style="color: #008000"> x 10</span></strong>. The winner will have received X upvotes, and finish with 20+X points. It would look like this:</p><p></p><p>Option 1: never downvoted, wins with 20+X points after X votes</p><p>Option 2: eliminated after 10 votes</p><p>Option 3: untouched for 10 votes, then eliminated in the next 10</p><p>Option 4: untouched for 20 votes, then eliminated in the next 10</p><p>Option <em>n</em>: untouched for (<em>n</em>-1)x10 votes, then eliminated in the next 10</p><p></p><p>If everyone upvotes and downvotes the same option every round until it is eliminated, then moves on to upvote and downvote only the same option again, etc., the contest will be over after X votes, where X = (number of contestants minus 1) <strong><span style="color: #B22222">x 20</span></strong>. The winner will have received zero upvotes, and will win with the original 20 points it started with. It would look like this:</p><p></p><p>Option 1: upvoted and downvoted over and over again, eliminated after 20 votes.</p><p>Option 2: untouched for 20 votes, then eliminated in the next 20 votes.</p><p>Option 3: untouched for 40 votes, then eliminated in the next 20 votes.</p><p>Option 4: untouched for 60 votes, then eliminated in the next 20 votes.</p><p>Option <em>n</em>: untouched for (<em>n</em>-1)x20 votes, and wins without ever being upvoted or downvoted.</p><p>[/SPOILER]Conclusion: mixing our upvotes and downvotes will make the game last up to twice as long as it would if we were to focus our upvotes and downvotes on the same, respective targets--er, <em>options</em>.</p></blockquote><p></p>
[QUOTE="CleverNickName, post: 7501472, member: 50987"] Yesterday, there was some math. Something didn't look right about those calcs, so I modeled it in Excel. [SPOILER="Because I can't stop beating a dead horse"]If everyone "dogpiles" their votes...meaning, everyone upvotes the same option every round, and also downvotes another target every round until it is eliminated then moves on to downvote another target and etc....the contest will be over after X votes, where X = (number of contestants minus 1)[B][COLOR=#008000] x 10[/COLOR][/B]. The winner will have received X upvotes, and finish with 20+X points. It would look like this: Option 1: never downvoted, wins with 20+X points after X votes Option 2: eliminated after 10 votes Option 3: untouched for 10 votes, then eliminated in the next 10 Option 4: untouched for 20 votes, then eliminated in the next 10 Option [I]n[/I]: untouched for ([I]n[/I]-1)x10 votes, then eliminated in the next 10 If everyone upvotes and downvotes the same option every round until it is eliminated, then moves on to upvote and downvote only the same option again, etc., the contest will be over after X votes, where X = (number of contestants minus 1) [B][COLOR=#B22222]x 20[/COLOR][/B]. The winner will have received zero upvotes, and will win with the original 20 points it started with. It would look like this: Option 1: upvoted and downvoted over and over again, eliminated after 20 votes. Option 2: untouched for 20 votes, then eliminated in the next 20 votes. Option 3: untouched for 40 votes, then eliminated in the next 20 votes. Option 4: untouched for 60 votes, then eliminated in the next 20 votes. Option [I]n[/I]: untouched for ([I]n[/I]-1)x20 votes, and wins without ever being upvoted or downvoted. [/SPOILER]Conclusion: mixing our upvotes and downvotes will make the game last up to twice as long as it would if we were to focus our upvotes and downvotes on the same, respective targets--er, [I]options[/I]. [/QUOTE]
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