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|bgcolor=#ffbbbb colspan=2 align=center| <span style="display:none">5</span>[[Later-no-harm criterion#Noncomplying methods|No]]
|bgcolor=#ffbbbb colspan=2 align=center| <span style="display:none">5</span>[[Later-no-harm criterion#Noncomplying methods|No]]
|bgcolor=#ffbbbb| <span style="display:none">5</span>No
|bgcolor=#ffbbbb| <span style="display:none">5</span>No
|-
! [[SODA voting]] <ref group=nb name=sodabase>For the criteria compliance of SODA voting:
*Delegated votes are considered to be equivalent to voting the candidate's predeclared preferences.
*Ballots only are considered (In other words, voters are assumed not to have preferences that cannot be expressed by a delegated or approval vote.)
*Since at the time of assigning approvals on delegated votes there is always enough information to find an optimum strategy, candidates are assumed to use such a strategy.</ref>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#ddffdd| <span style="display:none">2</span>Strategic yes/<span style="background-color: #bbffbb">yes</span>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#ddffdd| <span style="display:none">2</span>Ambig&shy;uous <ref group=nb name=sodamono>For up to 4 candidates, SODA is monotonic. For more than 4 candidates, it is monotonic for adding an approval, for changing from an approval to a delegation ballot, and for changes in a candidate's preferences. However, if changes in a voter's preferences are executed as changes from a delegation to an approval ballot, such changes are not necessarily monotonic with more than 4 candidates.</ref>
|bgcolor=#ddffdd| <span style="display:none">2</span>Up to 4 candidates <ref group=nb name=soda4>For up to 4 candidates, SODA meets the Consistency, Participation, IIA, and Cloneproof criteria. It can fail these criteria in certain rare cases with more than 4 candidates. This is considered almost meeting the Consistency and Participation criteria, which does not intrinsically have to do with numerous candidates, and almost failing the IIA and Cloneproof criteria, which do.</ref>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#ffdddd| <span style="display:none">4</span>Up to 4 candidates <ref group=nb name=soda4/>
|bgcolor=#ffdddd| <span style="display:none">4</span>Up to 4 cand. (then crowds)<ref group=nb name=soda4/>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#bbffbb| <span style="display:none">1</span>O(N)
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#ffdddd colspan=2 align=center| <span style="display:none">4</span>Candidates only<ref group=nb>Later preferences are only possible through delegation, that is, if they agree with the predeclared preferences of the favorite.</ref>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|-
|-
! [[Two-round system|Runoff voting]]
! [[Two-round system|Runoff voting]]
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|bgcolor=#ffbbbb colspan=2 align=center| <span style="display:none">5</span>[[Later-no-harm criterion#Noncomplying methods|No]]
|bgcolor=#ffbbbb colspan=2 align=center| <span style="display:none">5</span>[[Later-no-harm criterion#Noncomplying methods|No]]
|bgcolor=#ffbbbb| <span style="display:none">5</span>No
|bgcolor=#ffbbbb| <span style="display:none">5</span>No
|-
! [[SODA voting]] <ref group=nb name=sodabase>For the criteria compliance of SODA voting:
*Delegated votes are considered to be equivalent to voting the candidate's predeclared preferences.
*Ballots only are considered (In other words, voters are assumed not to have preferences that cannot be expressed by a delegated or approval vote.)
*Since at the time of assigning approvals on delegated votes there is always enough information to find an optimum strategy, candidates are assumed to use such a strategy.</ref>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#ddffdd| <span style="display:none">2</span>Strategic yes/<span style="background-color: #bbffbb">yes</span>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#ddffdd| <span style="display:none">2</span>Ambig&shy;uous <ref group=nb name=sodamono>For up to 4 candidates, SODA is monotonic. For more than 4 candidates, it is monotonic for adding an approval, for changing from an approval to a delegation ballot, and for changes in a candidate's preferences. However, if changes in a voter's preferences are executed as changes from a delegation to an approval ballot, such changes are not necessarily monotonic with more than 4 candidates.</ref>
|bgcolor=#ddffdd| <span style="display:none">2</span>Up to 4 candidates <ref group=nb name=soda4>For up to 4 candidates, SODA meets the Consistency, Participation, IIA, and Cloneproof criteria. It can fail these criteria in certain rare cases with more than 4 candidates. This is considered almost meeting the Consistency and Participation criteria, which does not intrinsically have to do with numerous candidates, and almost failing the IIA and Cloneproof criteria, which do.</ref>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#ffdddd| <span style="display:none">4</span>Up to 4 candidates <ref group=nb name=soda4/>
|bgcolor=#ffdddd| <span style="display:none">4</span>Up to 4 cand. (then crowds)<ref group=nb name=soda4/>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#bbffbb| <span style="display:none">1</span>O(N)
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#ffdddd colspan=2 align=center| <span style="display:none">4</span>Candidates only<ref group=nb>Later preferences are only possible through delegation, that is, if they agree with the predeclared preferences of the favorite.</ref>
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|bgcolor=#bbffbb| <span style="display:none">1</span>Yes
|-
|-
! [[Sortition|Random winner]]/<br>arbitrary winner<ref group=nb>Random winner: Uniformly randomly chosen candidate is winner. Arbitrary winner: some external entity, not a voter, chooses the winner. These systems are not, properly speaking, voting systems at all, but are included to show that even a horrible system can still pass some of the criteria.</ref>
! [[Sortition|Random winner]]/<br>arbitrary winner<ref group=nb>Random winner: Uniformly randomly chosen candidate is winner. Arbitrary winner: some external entity, not a voter, chooses the winner. These systems are not, properly speaking, voting systems at all, but are included to show that even a horrible system can still pass some of the criteria.</ref>

Revision as of 15:52, 6 February 2012

My first language is English, I speak Spanish fluently (though not perfectly), and I have some understanding of French, Kaqchikel, and Tzotzil. I live in Guatemala. I feel qualified to contribute to Wikipedia (though not a true expert) in high-energy physics (standard model), neurolinguistics (and related), mesoamerica (mayan) history and current events, and voting systems, as well as translating and general editing. You could find out my real name if you wanted to.

This user is a member of WikiProject Mesoamerica.

I did a lot of work on the following table on voting system. Here's a version with SODA, for when I manage to publish in a reliable source about that method.

Major­ity/
MMC
Condorcet/
Majority Condorcet
Cond.
loser

Mono­tone
Consist­ency/
Particip­ation
Rever­sal
sym­metry

IIA
Cloneproof
Poly­time/
Resolv­able
Summ­able
Equal rankings
allowed
Later
prefs
allowed
Later-no-harm­/
Later-no-help
FBC:No
favorite
betrayal
Approval[nb 1] 3Ambig­uous 4NoStrategic yes[nb 2] 5No 1Yes 2Yes[nb 2] 1Yes 3Ambig­uous 3Ambig.­[nb 3] 1Yes 1O(N) 1Yes 5No 4[nb 4] 1Yes
Borda count 5No 5No 1Yes 1Yes 1Yes 1Yes 5No 5No (teaming) 1Yes 1O(N) 5No 1Yes 5No 5No
Copeland 1Yes 1Yes 1Yes 1Yes 5No 1Yes 4No (but ISDA) 5No (crowding) 3Yes/No 2O(N2) 1Yes 1Yes 5No 5No
IRV (AV) 1Yes 5No 1Yes 5No 5No 5No 5No 1Yes 1Yes 5O(N!)­[nb 5] 5No 1Yes 1Yes 5No
Kemeny-Young 1Yes 1Yes 1Yes 1Yes 5No 1Yes 4No (but ISDA) 5No (teaming) 3No/Yes 2O(N2[nb 6] 1Yes 1Yes 5No 5No
Majority Judg­ment[nb 7] 1Yes[nb 8] 4NoStrategic yes[nb 2] 4No[nb 9] 1Yes 4No[nb 10] 4No[nb 11] 2Yes 1Yes 1Yes 1O(N)­[nb 12] 1Yes 1Yes 3No [nb 13] 1Yes 1Yes
Minimax 2Yes/No 2Yes[nb 14] 5No 1Yes 5No 5No 5No 5No (spoilers) 1Yes 2O(N2) 3Some variants 1Yes 4No[nb 14] 5No
Plurality 2Yes/No 5No 5No 1Yes 1Yes 5No 5No 5No (spoilers) 1Yes 1O(N) 5No 5No [nb 4] 5No
Range voting[nb 1] 5No 4NoStrategic yes[nb 2] 5No 1Yes 2Yes[nb 2] 1Yes 2Yes[nb 15] 3Ambig.­[nb 3] 1Yes 1O(N) 1Yes 1Yes 5No 1Yes
Ranked pairs 1Yes 1Yes 1Yes 1Yes 5No 1Yes 4No (but ISDA) 1Yes 1Yes 2O(N2) 1Yes 1Yes 5No 5No
Runoff voting 2Yes/No 5No 1Yes 5No 5No 5No 5No 5No (spoilers) 1Yes 2O(N)­[nb 16] 5No 4No[nb 17] 2Yes[nb 18] 5No
Schulze 1Yes 1Yes 1Yes 1Yes 5No 1Yes 4No (but ISDA) 1Yes 1Yes 2O(N2) 1Yes 1Yes 5No 5No
SODA voting [nb 19] 1Yes 2Strategic yes/yes 1Yes 2Ambig­uous [nb 20] 2Up to 4 candidates [nb 21] 1Yes 4Up to 4 candidates [nb 21] 4Up to 4 cand. (then crowds)[nb 21] 1Yes 1O(N) 1Yes 4Candidates only[nb 22] 1Yes 1Yes
Random winner/
arbitrary winner[nb 23]
5No 5No 5No 5NA 1No 1Yes 1Yes 5NA 3Yes/No 0O(1) 5No 5No 5 1Yes
Random ballot[nb 24] 5No 5No 5No 1Yes 1Yes 1Yes 1Yes 1Yes 3Yes/No 1O(N) 5No 5No 5 1Yes

"Yes/No", in a column which covers two related criteria, signifies that the given system passes the first criterion and not the second one.
Cite error: There are <ref group=nb> tags on this page, but the references will not show without a {{reflist|group=nb}} template (see the help page).