Strategy-free criterion: Difference between revisions
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The '''strategy-free criterion''' is a [[voting system criterion]] for evaluating [[voting system]]s.
== Definitions ==
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If one candidate is preferred over each of the other candidates, that candidate is called "Condorcet candidate" or "Condorcet winner".
== Statement of
''If a Condorcet candidate exists, and if a majority prefers this candidate to another candidate, then the other candidate should not win if that majority votes sincerely and no other voter falsifies
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In a ranked method, it is nearly equivalent to say: ''If more than half of the voters rank ''x'' above ''y'', and there is no candidate ''z'' whom more than half of the voters rank above ''x'', then ''y'' must not be elected.''
== Complying
*'''Complies''': [[Schulze method]] (with winning votes as the measure of defeat strength), [[MDDA]], [[MAMPO]]
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strategy, hence the name Strategy-Free Criterion.
The [[Schulze method]] was shown to comply with both the Condorcet and Generalized Condorcet Criteria (CC and GCC) above. Although compliance with CC and GCC are important, those criteria apply only in the theoretically ideal case in which all votes are sincere. The Strategy-Free criterion goes further and shows that, under certain reasonable conditions, a majority of voters have no incentive to vote insincerely. The fact that the [[Schulze method]] also complies with SFC therefore enhances the significance of CC and GCC considerably.
''Some parts of this article are derived with permission from text at http://electionmethods.org''
== See also ==
*[[Voting system]]
*[[Monotonicity criterion]]
*[[Condorcet Criterion]]
*[[Generalized Condorcet criterion]]
*[[Generalized Strategy-Free criterion]]
*[[Strong Defensive Strategy criterion]]
*[[Weak Defensive Strategy criterion]]
*[[Favorite Betrayal criterion]]
*[[Participation criterion]]
*[[Summability criterion]]
== External links ==
* [http://electionmethods.org/ electionmethods.org]
{{fromwikipedia}}
[[Category:Voting system criteria]]
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