Distributed Score Voting: Difference between revisions
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Aldo Tragni (talk | contribs) (Change formulas in points 5 and 6 of the vote count.) |
Aldo Tragni (talk | contribs) m (Criteria table added) |
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W1=W0+100\left( 1-\frac{e}{M}\right) |
W1=W0+100\left( 1-\frac{e}{M}\right) |
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\end{equation}</math> |
\end{equation}</math> |
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(the formula shown above is temporary and may be subject to change) |
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By repeating this process several times, you can get as many winners as you like, which will be those removed in point 5. |
By repeating this process several times, you can get as many winners as you like, which will be those removed in point 5. |
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==Criteria== |
==Criteria== |
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{| class="wikitable" style="text-align:center" |
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Criteria met by DSV (single-winner): |
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<!-- criteria headers --> |
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|- style="font-size:80%;" |
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*[[Majority criterion]] |
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! rowspan=1 | |
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*[[Majority loser criterion]] |
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! rowspan=1 style="border-left: 2px solid #a0a0a0;" | [[Majority criterion|Majority]] |
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*[[Mutual majority criterion]] |
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! rowspan=1 | [[Majority loser criterion|Maj. loser]] |
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*[[Condorcet criterion]] |
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! rowspan=1 | [[Mutual majority criterion|Mutual maj.]] |
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*[[Condorcet loser criterion]] |
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! rowspan=1 | [[Condorcet criterion|Condorcet]] |
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*[[Smith criterion]] |
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! rowspan=1 | [[Condorcet loser criterion|Cond. loser]] |
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*[[Independence of irrelevant alternatives]] |
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! rowspan=1 | [[Smith criterion|Smith]] |
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*[[w:Independence of clones criterion|Independence of clones criterion]] |
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! rowspan=1 | [[Pareto criterion|Pareto]] |
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*[[Monotonicity criterion]] |
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! rowspan=1 | [[Independence of irrelevant alternatives|IIA]] |
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*[[w:Reversal symmetry|Reversal symmetry]] |
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! rowspan=1 | [[w:Independence of clones criterion|Clone proof]] |
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*[[Pareto criterion]] |
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! rowspan=1 style="border-left:2px solid #a0a0a0;" | [[Monotonicity criterion|Monotone]] |
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! rowspan=1 | [[Consistency criterion|Consistency]] |
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Criteria not met by DSV (single-winner): |
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! rowspan=1 | [[Participation criterion|Participation]] |
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! rowspan=1 | [[w:Reversal symmetry|Reversal<br>symmetry]] |
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! rowspan=1 style="border-left:2px solid #a0a0a0;" | [[Later-no-help criterion|Later-no<br>Help]] |
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! rowspan=1 | [[Favorite betrayal criterion|Favorite<br>betrayal]] |
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|- style="font-size:80%;" |
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<!-- Methods --> |
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*[[Participation criterion]] |
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|- |
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*[[Consistency criterion]] |
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! [[Distributed_Score_Voting|DSV<br>single-winner]] |
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*[[Later-no-help criterion]] |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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*[[Favorite betrayal criterion]] |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #fd8787; font-weight: inherit;" | No |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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! style="background: #fd8787; font-weight: inherit;" | No |
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! style="background: #98ff98; font-weight: inherit;" | Yes |
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|} |
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[[Consistency criterion|Consistency]] is not satisfied because [[Distributed Score Voting|DSV]] wants to guarantee the victory of the candidate who wins in all heads-to-head matches. |
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[[Later-no-help criterion|Later-no-Help]] isn't satisfied because [[Distributed Score Voting|DSV]] wants to guarantee the defeat of candidates who aren't in the Smith set. This can generate tactical votes, described below. |
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===Tactical votes=== |
===Tactical votes=== |