Approval voting: Difference between revisions

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{{see also|Approval ballot}}
{{wikipedia}}
 
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==Usage==
Approval voting has been and is currenlycurrently used in many places over the years. Recently there has been some interest in the [[United States]] for municipal elections.<ref>{{Cite web|date=2021-11-17|title=The New Frontier: Seattle Approves Launches a Ballot Initiative Campaign|url=https://electionscience.org/ces-updates/the-new-frontier-seattle-approves-launches-a-ballot-initiative-campaign/|access-date=2021-12-13|website=The Center for Election Science|language=en-US}}</ref> The following is a non-exhaustive list of prominent use of approval voting.
 
* [[Fargo, North Dakota|'''Fargo, North Dakota''']] (as of 2018) — Fargo used approval voting in June 2020 to elect two at-large seats on its city council,<ref name="Ballotpedia Fargo">[https://ballotpedia.org/Fargo,_North_Dakota,_Measure_1,_Approval_Voting_Initiative_(November_2018) Fargo, North Dakota, Measure 1, Approval Voting Initiative (November 2018)], November 7, 2018 ''[[Ballotpedia]]''</ref><ref name="Fargo approves">[https://ivn.us/2018/11/06/one-americas-famous-towns-becomes-first-nation-adopt-approval-voting/ One of America’s Most Famous Towns Becomes First in the Nation to Adopt Approval Voting] {{Webarchive|url=https://web.archive.org/web/20181107185459/https://ivn.us/2018/11/06/one-americas-famous-towns-becomes-first-nation-adopt-approval-voting/|date=2018-11-07}}, accessed November 7, 2018</ref><ref name="Fargo votes">{{cite web |url=https://www.publicnewsservice.org/2020-06-10/civic-engagement/fargo-becomes-first-u-s-city-to-try-approval-voting/a70495-1 |title=Fargo Becomes First U.S. City to Try Approval Voting |last=Moen |first=Mike |date=June 10, 2020 |work=Public News Service |access-date=December 3, 2020 }}</ref><ref name="St. Louis approves">{{cite web|last=|first=|date=November 4, 2020|title=St. Louis Voters Approve Nonpartisan Elections|url=https://www.usnews.com/news/best-states/missouri/articles/2020-11-04/st-louis-voters-approve-nonpartisan-elections|url-status=live|archive-url=|archive-date=|access-date=December 3, 2020|work=US News and World Report}}</ref>
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*Knoxville: 32 total votes
 
==Criterion compliancescompliance==
Approval voting satisfies the [[unanimous consensus criterion]] and [[greatest possible consensus criterion]]. It is strongly promoted by advocates of consensus democracy for single-winner elections.
 
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*Knoxville: 32
 
==== Indeterminacy of Outcomeoutcome ====
In certain elections, honest voters merely varying the cut-off where they give approval can lead to any particular candidate winning.<ref>{{Cite journal|last=Saari|first=Donald G.|last2=Jill|first2=Van Newenhizen|year=1988|title=The problem of indeterminancy in approval, multiple, and truncated voting systems|journal=Public Choice|volume=59|issue=2|pages=101–120|doi=10.1007/BF00054447|jstor=30024954}}</ref> Consider an election with 15 voters deciding among three candidates (A, B, C). The voters have the preferences
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Approval voting advocates say this is a positive feature of approval voting, saying that the above example "demonstrates that AV responds positively to distinctions voters make among candidates that ordinal preference rankings do not mirror".<ref>{{Cite journal|last=Brams|first=Steven J.|last2=Fishburn|first2=Peter C.|last3=Merrill|first3=Samuel|author-mask3=Merrill, Samuel, III|year=1988|title=The responsiveness of approval voting: Comments on Saari and Van Newenhizen|journal=Public Choice|volume=59|pages=121–131|doi=10.1007/BF00054448}}</ref> That is, approval voting allows voters to better express their degree of approval. One example of such a situation is where we replace the CBA voter preferences with {C: 2.1, B: 2, A: 0}; in this case, it would be appropriate for B to win, as the CBA voters think C and B nearly equivalent.
 
Richard Niemi argues that since approval voting may elect any of a large number of candidates under strategy with non-dichotomous preferences, the method "almost begs voters to behave strategically", as the outcome depends on just what kind of strategy is used.<ref name="Niemi 1984 pp. 952–958">{{cite journal | last=Niemi | first=Richard G. | title=The Problem of Strategic Behavior under Approval Voting | journal=The American Political Science Review | publisher=[American Political Science Association, Cambridge University Press] | volume=78 | issue=4 | year=1984 | issn=00030554, 15375943 | jstor=1955800 | pages=952–958 | url=http://www.jstor.org/stable/1955800 | access-date=2022-07-03}}</ref>
 
==Effect on elections==
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====Strategically electing a pairwise-preferred candidate====
Supposing rational voters (see [[Approval cutoff#Rationality restrictions]] for examples; chiefly, supposing voters who equally prefer two candidates approve both or neither of them), voters can "simulate" a [[head-to-head matchup]] in Approval voting in the sense that if, between two candidates, the voters who prefer the candidate who pairwise wins the matchup move their [[approval threshold]] between the two candidates, then they can guarantee that the candidate who pairwise loses the matchup is not elected (or if there was a pairwise tie between the two candidates, then they can guarantee a tie between the two candidates). This is because all voters who equally prefer the two candidates will not create an approval-based margin between the two candidates, and because there are more voters who prefer the pairwise winner of the matchup over the other candidate, the pairwise winner will guaranteeablybe guaranteed to have more approvals (specifically, they will have at least as high an approval-based margin as they do in their pairwise margin over the other candidate). Note however that they can '''not''' always make the pairwise winner of the matchup, or a candidate preferred more than or equally to the pairwise winner by any of the voters who prefer the pairwise winner over the pairwise loser, win. This is most easily seen in [[chicken dilemma]]-type situations; see [[Equilibrium#Notes]] for an example. However, this is true when the winner of the pairwise matchup [[majority-beat]]<nowiki/>s all other candidates.
 
==See also==
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[[Category:Single-winner voting methods]]
[[Category:Approval methods‏voting‏]]
[[Category:Favorite betrayal criterion]]
[[Category:Binary voting methods]]
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[[Category:Self-referential Smith-efficient Condorcet methods]]
[[Category:Monotonic electoral systems]]
[[Category:No-favorite-betrayal electoral systems]]
[[Category:Clone-independent electoral systems]]
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