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Distributed Multi-Voting: Difference between revisions

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Distributed Multi-Voting (view source)

Revision as of 21:44, 30 August 2020

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(Variants added: Score multi-Voting, STAR Multi-Voting)
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If the candidates of the subset, in a certain vote, all have the same score different from 0 then, before normalization, don’t set the lowest score to 0.
 
==Tactical vote resistance==
==Criteria==
 
{| class="wikitable" style="text-align:center"
<!-- criteria headers -->
|- style="font-size:80%; border-bottom: 2px solid #a0a0a0;"
! rowspan=1 |
! rowspan=1 style="border-left: 2px solid #a0a0a0;" | [[Majority criterion|Majority]]
! rowspan=1 | [[Majority loser criterion|Maj. loser]]
! rowspan=1 | [[Mutual majority criterion|Mutual maj.]]
! rowspan=1 | [[Condorcet criterion|Condorcet]]
! rowspan=1 | [[Condorcet loser criterion|Cond. loser]]
! rowspan=1 | [[Smith criterion|Smith]]
! rowspan=1 | [[Independence of irrelevant alternatives|IIA]]
! rowspan=1 | [[w:Independence of clones criterion|Clone proof]]
! rowspan=1 style="border-left:2px solid #a0a0a0;" | [[Monotonicity criterion|Monotone]]
! rowspan=1 | [[Consistency criterion|Consistency]]
! rowspan=1 | [[Participation criterion|Participation]]
! rowspan=1 style="border-left:2px solid #a0a0a0;" | [[Later-no-help criterion|Later-no<br>Help]]
! rowspan=1 | [[Later-no-harm criterion|Later-no<br>Harm]]
! rowspan=1 | [[Favorite betrayal criterion|Favorite<br>betrayal]]
|- style="font-size:80%;"
 
<!-- Methods -->
|-
! [[Distributed_Multi-Voting|DMV]]
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
! style="background: #ffc7c7; font-weight: inherit;" | No*
|}
 
{| class="wikitable" style="text-align:center; float: right; margin: 0px 20px 5px 20px;"
|- style="font-size:80%; border-bottom: 2px solid #a0a0a0;"
! rowspan=1 style="border: none; background: white;" |
! A
! B
! C
! D
|-
 
|- style="font-size:80%; font-weight: inherit; background: white;"
! style="text-align:right;" | [1] original vote
| style="font-weight: bold;" | 100
| 0
| 0
| 0
|-
 
|- style="font-size:80%; border-bottom: 2px solid #a0a0a0; font-weight: inherit; background: white;"
! style="text-align:right;" | converted vote
| 700
| 0
| 0
| 0
|-
 
|- style="font-size:80%; font-weight: inherit; background: white;"
! style="text-align:right;" | [2] original vote
| style="font-weight: bold;" | 99
| style="font-weight: bold;" | 1
| 0
| 0
|-
 
|- style="font-size:80%; border-bottom: 2px solid #a0a0a0; font-weight: inherit; background: white;"
! style="text-align:right;" | converted vote
| 697
| 303
| 0
| 0
|-
 
|- style="font-size:80%; font-weight: inherit; background: white;"
! style="text-align:right;" | [3] original vote
| style="font-weight: bold;" | 96
| style="font-weight: bold;" | 4
| style="font-weight: bold;" | 1
| 0
|-
 
|- style="font-size:80%; border-bottom: 2px solid #a0a0a0; font-weight: inherit; background: white;"
! style="text-align:right;" | converted vote
| 686
| 292
| 122
| 0
|-
 
|- style="font-size:80%; font-weight: inherit; background: white;"
! style="text-align:right;" | [4] original vote
| style="font-weight: bold;" | 51
| style="font-weight: bold;" | 49
| 0
| 0
|-
 
|- style="font-size:80%; border-bottom: 2px solid #a0a0a0; font-weight: inherit; background: white;"
! style="text-align:right;" | converted vote
| 553
| 447
| 0
| 0
|-
 
|- style="font-size:80%; font-weight: inherit; background: white;"
! style="text-align:right;" | [5] original vote
| style="font-weight: bold;" | 75
| style="font-weight: bold;" | 20
| style="font-weight: bold;" | 5
| 0
|-
 
|- style="font-size:80%; border-bottom: 2px solid #a0a0a0; font-weight: inherit; background: white;"
! style="text-align:right;" | converted vote
| 627
| 342
| 131
| 0
|-
 
|- style="font-size:80%; font-weight: inherit; background: white;"
! style="text-align:right;" | [6] original vote
| style="font-weight: bold;" | 35
| style="font-weight: bold;" | 33
| style="font-weight: bold;" | 32
| 0
|-
 
|- style="font-size:80%; border-bottom: 2px solid #a0a0a0; font-weight: inherit; background: white;"
! style="text-align:right;" | converted vote
| 490
| 381
| 229
| 0
|-
|}
 
No* = the DMV can fail all the criteria but the cases in which they fail are extremely rare.
 
The original vote of the voter through point 1 of the procedure is converted, and the vote obtained is in part of the type:
Line 182 ⟶ 35:
 
* cumulative, because the points distributed in the converted votes are however limited and fixed (700 in the case [1], 1000 in the cases [2] and [4], 1100 in the cases [3], [5], [6] based the number of candidates evaluated).
 
The DMV in any case meets the [[Independence of Worst Alternatives|IWA]].
 
===Tactical vote resistance===
 
Meets [[Honesty criterion]] under the same assumptions as the [[Distributed Voting#Tactical vote resistance|Distributed Voting]].
Aldo Tragni
206

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