Strong Defensive Strategy criterion: Difference between revisions
imported>KVenzke (complying methods) |
imported>MarkusSchulze No edit summary |
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<h4 class=left>Complying Methods</h4> |
<h4 class=left>Complying Methods</h4> |
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<p>[[Schulze method| |
<p>[[Schulze method|Schulze]] (with winning votes as the measure of defeat strength), [[Maximize Affirmed Majorities]], [[Bucklin voting]], [[CDTT]] methods, [[MDDA]], and [[Condorcet//Approval]] comply with the Strong Defensive Strategy Criterion, while [[Approval voting]], [[Cardinal Ratings]], [[Borda count]], [[Plurality voting]], [[Instant-Runoff Voting]], [[Raynaud]], and [[Descending Solid Coalitions]] do not comply.</p> |
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<h4 class=left>Commentary</h4> |
<h4 class=left>Commentary</h4> |
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countering [[offensive order reversal]] by that candidate's voters. |
countering [[offensive order reversal]] by that candidate's voters. |
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Offensive order reversal is the only strategy that can create the need |
Offensive order reversal is the only strategy that can create the need |
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for defensive strategy in [[Schulze method| |
for defensive strategy in [[Schulze method|Schulze]].</p> |
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A very similar criterion is the [[Minimal Defense criterion]]. |
A very similar criterion is the [[Minimal Defense criterion]]. |
Latest revision as of 01:16, 4 December 2005
Definitions
A voter votes X equal to Y if the voter doesn't vote X over Y, and doesn't vote Y over X, but votes X over someone, and votes Y over someone.
A sincere vote is one with no falsified preferences or preferences left unspecified when the election method allows them to be specified (in addition to the preferences already specified).
One candidate is preferred over another candidate if, in a one-on-one competition, more voters prefer the first candidate than prefer the other candidate.
Statement of Criterion
If a majority prefers one particular candidate to another, then they should have a way of voting that will ensure that the other cannot win, without any member of that majority reversing a preference for one candidate over another or falsely voting two candidates equal.
Complying Methods
Schulze (with winning votes as the measure of defeat strength), Maximize Affirmed Majorities, Bucklin voting, CDTT methods, MDDA, and Condorcet//Approval comply with the Strong Defensive Strategy Criterion, while Approval voting, Cardinal Ratings, Borda count, Plurality voting, Instant-Runoff Voting, Raynaud, and Descending Solid Coalitions do not comply.
Commentary
Compliance with SDSC means that a majority never needs any more than truncation strategy to defeat a particular candidate, even when countering offensive order reversal by that candidate's voters. Offensive order reversal is the only strategy that can create the need for defensive strategy in Schulze.
A very similar criterion is the Minimal Defense criterion.
Some parts of this article are derived with permission from text at http://electionmethods.org