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Independence of irrelevant alternatives: Difference between revisions
Independence of irrelevant alternatives (view source)
Revision as of 21:30, 2 May 2012
, 12 years agogrammar
imported>Km-elmet (Added some other less strict versions.) |
imported>Km-elmet m (grammar) |
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Therefore, less strict properties have been proposed:
:- '''Independence of Smith-dominated alternatives''' (ISDA), which says that if one option (X) wins an election, and a new alternative (Y) is added, X will win the election if Y is not in the [[Smith set]]. ISDA implies Condorcet, and some Condorcet methods (e.g. [[Schulze method|Schulze]])
:- '''Independence of covered alternatives''' which says that if one option (X) wins an election, and a new alternative (Y) is added, X will win the election if Y is not in the [[uncovered set]]. Independence of covered alternatives also implies Condorcet. If a method is independent of covered alternatives, then the method fails monotonicity if perfect ties can always be broken in favor of a choice W by using ballots ranking W first.
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