Distributed Multi-Voting: Difference between revisions
Content added Content deleted
Aldo Tragni (talk | contribs) (Variants added: Score multi-Voting, STAR Multi-Voting) |
Aldo Tragni (talk | contribs) mNo edit summary |
||
Line 26: | Line 26: | ||
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. |
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: |
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: | Line 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). |
* 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]]. |
Meets [[Honesty criterion]] under the same assumptions as the [[Distributed Voting#Tactical vote resistance|Distributed Voting]]. |