Distributed Score Voting: Difference between revisions

m
Criteria table added
(Change formulas in points 5 and 6 of the vote count.)
m (Criteria table added)
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W1=W0+100\left( 1-\frac{e}{M}\right)
\end{equation}</math>
 
(the formula shown above is temporary and may be subject to change)
 
By repeating this process several times, you can get as many winners as you like, which will be those removed in point 5.
Line 113 ⟶ 115:
==Criteria==
 
{| class="wikitable" style="text-align:center"
Criteria met by DSV (single-winner):
<!-- criteria headers -->
 
|- style="font-size:80%;"
*[[Majority criterion]]
! rowspan=1 |
*[[Majority loser criterion]]
! rowspan=1 style="border-left: 2px solid #a0a0a0;" | [[Majority criterion|Majority]]
*[[Mutual majority criterion]]
! rowspan=1 | [[Majority loser criterion|Maj. loser]]
*[[Condorcet criterion]]
! rowspan=1 | [[Mutual majority criterion|Mutual maj.]]
*[[Condorcet loser criterion]]
! rowspan=1 | [[Condorcet criterion|Condorcet]]
*[[Smith criterion]]
! rowspan=1 | [[Condorcet loser criterion|Cond. loser]]
*[[Independence of irrelevant alternatives]]
! rowspan=1 | [[Smith criterion|Smith]]
*[[w:Independence of clones criterion|Independence of clones criterion]]
! rowspan=1 | [[Pareto criterion|Pareto]]
*[[Monotonicity criterion]]
! rowspan=1 | [[Independence of irrelevant alternatives|IIA]]
*[[w:Reversal symmetry|Reversal symmetry]]
! rowspan=1 | [[w:Independence of clones criterion|Clone proof]]
*[[Pareto criterion]]
! rowspan=1 style="border-left:2px solid #a0a0a0;" | [[Monotonicity criterion|Monotone]]
 
! rowspan=1 | [[Consistency criterion|Consistency]]
Criteria not met by DSV (single-winner):
! rowspan=1 | [[Participation criterion|Participation]]
! rowspan=1 | [[w:Reversal symmetry|Reversal<br>symmetry]]
! rowspan=1 style="border-left:2px solid #a0a0a0;" | [[Later-no-help criterion|Later-no<br>Help]]
! rowspan=1 | [[Favorite betrayal criterion|Favorite<br>betrayal]]
|- style="font-size:80%;"
 
<!-- Methods -->
*[[Participation criterion]]
|-
*[[Consistency criterion]]
! [[Distributed_Score_Voting|DSV<br>single-winner]]
*[[Later-no-help criterion]]
! style="background: #98ff98; font-weight: inherit;" | Yes
*[[Favorite betrayal criterion]]
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #fd8787; font-weight: inherit;" | No
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #98ff98; font-weight: inherit;" | Yes
! style="background: #fd8787; font-weight: inherit;" | No
! style="background: #98ff98; font-weight: inherit;" | Yes
|}
 
The[[Consistency firstcriterion|Consistency]] twois unmetnot criteriasatisfied arebecause derived[[Distributed mainly from the fact thatScore Voting|DSV]] wants to ensureguarantee the victory of the candidate who wins in all the headheads-to-head (when it exists)matches.
 
The[[Later-no-help lastcriterion|Later-no-Help]] twoisn't unmetsatisfied criteriabecause can[[Distributed insteadScore Voting|DSV]] wants to guarantee the defeat of candidates who aren't in the Smith set. This can generate tactical votes, described below.
 
===Tactical votes===
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