Definite Majority Choice: Difference between revisions
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Psephomancy (talk | contribs) (→Simple ballot example: experiment with box-drawing characters and black circle) |
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The pairwise matrix, with the victorious and approval scores highlighted: |
The pairwise matrix, with the victorious and approval scores highlighted: |
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{| class="wikitable" cellpadding="3" border="" |
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|- align="center" |
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<tr align="center"><td colspan=2 rowspan=2></td><th colspan=5>against</th></tr> |
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| colspan=2 rowspan=2 | |
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<tr align="center"><th class="against"><span class="cand">Abby</span></th><th class="against"><span class="cand">Brad</span></th><th class="against"><span class="cand">Cora</span></th><th class="against"><span class="cand">Dave</span></th><th class="against"><span class="cand">Erin</span></th></tr> |
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! colspan=5 | against |
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<tr align="center"> |
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|- align="center" |
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<th rowspan=5>for</th> |
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! class="against" | <span class="cand">Abby</span> |
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! class="against" | <span class="cand">Brad</span> |
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<td bgcolor="yellow">645</td> |
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< |
! class="against" | <span class="cand">Cora</span> |
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! class="against" | <span class="cand">Dave</span> |
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<td bgcolor="yellow">461</td> |
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! class="against" | <span class="cand">Erin</span> |
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<td bgcolor="yellow">485</td> |
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|- align="center" |
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<td bgcolor="yellow">511</td> |
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! rowspan=5 | for |
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</tr> |
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! class="for" | <span class="cand">Abby</span> |
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<tr align="center"> |
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| bgcolor="yellow" | 645 |
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<th class="for"><span class="cand">Brad</span></th> |
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| class="loss" | 458 |
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<td bgcolor="yellow">463</td> |
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| bgcolor="yellow" | 461 |
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| bgcolor="yellow" | 485 |
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| bgcolor="yellow" | 511 |
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<td class="loss">312</td> |
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|- align="center" |
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<td bgcolor="yellow">623</td> |
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! class="for" | <span class="cand">Brad</span> |
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</tr> |
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| bgcolor="yellow" | 463 |
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<tr align="center"> |
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| bgcolor="yellow" | 410 |
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<th class="for"><span class="cand">Cora</span></th> |
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| bgcolor="yellow" | 461 |
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<td class="loss">460</td> |
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| class="loss" | 312 |
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| bgcolor="yellow" | 623 |
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|- align="center" |
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<td class="loss">460</td> |
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< |
! class="for" | <span class="cand">Cora</span> |
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| class="loss" | 460 |
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</tr> |
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| class="loss" | 460 |
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<tr align="center"> |
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| bgcolor="yellow" | 460 |
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<th class="for"><span class="cand">Dave</span></th> |
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| class="loss" | 460 |
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| class="loss" | 460 |
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<td bgcolor="yellow">609</td> |
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|- align="center" |
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<td bgcolor="yellow">461</td> |
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! class="for" | <span class="cand">Dave</span> |
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<td bgcolor="yellow">311</td> |
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| class="loss" | 436 |
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| bgcolor="yellow" | 609 |
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</tr> |
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| bgcolor="yellow" | 461 |
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<tr align="center"> |
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| bgcolor="yellow" | 311 |
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<th class="for"><span class="cand">Erin</span></th> |
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| class="loss" | 311 |
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|- align="center" |
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<td class="loss">298</td> |
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! class="for" | <span class="cand">Erin</span> |
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<td bgcolor="yellow">461</td> |
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| class="loss" | 410 |
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<td bgcolor="yellow">610</td> |
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| class="loss" | 298 |
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<td bgcolor="yellow">708</td> |
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| bgcolor="yellow" | 461 |
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</tr> |
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| bgcolor="yellow" | 610 |
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</table> |
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| bgcolor="yellow" | 708 |
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|} |
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The candidates in descending order of approval are Erin, Abby, Cora, Brad, Dave. |
The candidates in descending order of approval are Erin, Abby, Cora, Brad, Dave. |
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After reordering the pairwise matrix, it looks like this: |
After reordering the pairwise matrix, it looks like this: |
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{| class="wikitable" cellpadding="3" border="" |
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|- align="center" |
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<tr align="center"><td colspan=2 rowspan=2></td><th colspan=5>against</th></tr> |
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| colspan=2 rowspan=2 | |
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<tr align="center"> |
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! colspan=5 | against |
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<th class="against"><span class="cand">Erin</span></th> |
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|- align="center" |
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<th class="against"><span class="cand">Abby</span></th> |
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! class="against" | <span class="cand">Erin</span> |
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! class="against" | <span class="cand">Abby</span> |
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! class="against" | <span class="cand">Cora</span> |
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! class="against" | <span class="cand">Brad</span> |
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</tr> |
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! class="against" | <span class="cand">Dave</span> |
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<tr align="center"> |
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|- align="center" |
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<th rowspan=5>for</th> |
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! rowspan=5 | for |
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<th class="for"><span class="cand">Erin</span></th> |
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! class="for" | <span class="cand">Erin</span> |
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<td bgcolor="yellow">708</td> |
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| bgcolor="yellow" | 708 |
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<td class="loss">410</td> |
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| class="loss" | 410 |
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<td bgcolor="yellow">461</td> |
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| bgcolor="yellow" | 461 |
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<td class="loss">298</td> |
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| class="loss" | 298 |
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<td bgcolor="yellow">610</td> |
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| bgcolor="yellow" | 610 |
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</tr> |
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|- align="center" |
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! class="for" | <span class="cand">Abby</span> |
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| bgcolor="yellow" | 511 |
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| bgcolor="yellow" | 645 |
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| bgcolor="yellow" | 461 |
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| class="loss" | 458 |
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| bgcolor="yellow" | 485 |
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|- align="center" |
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</tr> |
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! class="for" | <span class="cand">Cora</span> |
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<tr align="center"> |
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| class="loss" | 460 |
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<th class="for"><span class="cand">Cora</span></th> |
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| class="loss" | 460 |
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| bgcolor="yellow" | 460 |
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| class="loss" | 460 |
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| class="loss" | 460 |
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|- align="center" |
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<td class="loss">460</td> |
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! class="for" | <span class="cand">Brad</span> |
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</tr> |
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| bgcolor="yellow" | 623 |
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<tr align="center"> |
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| bgcolor="yellow" | 463 |
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<th class="for"><span class="cand">Brad</span></th> |
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| bgcolor="yellow" | 461 |
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| bgcolor="yellow" | 410 |
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| class="loss" | 312 |
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<td bgcolor="yellow">461</td> |
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|- align="center" |
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<td bgcolor="yellow">410</td> |
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< |
! class="for" | <span class="cand">Dave</span> |
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| class="loss" | 311 |
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</tr> |
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| class="loss" | 436 |
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<tr align="center"> |
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| bgcolor="yellow" | 461 |
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<th class="for"><span class="cand">Dave</span></th> |
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| bgcolor="yellow" | 609 |
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<td class="loss">311</td> |
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| bgcolor="yellow" | 311 |
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<td class="loss">436</td> |
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|} |
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<td bgcolor="yellow">461</td> |
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<td bgcolor="yellow">609</td> |
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<td bgcolor="yellow">311</td> |
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</tr> |
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</table> |
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To find the winner, |
To find the winner, |
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