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Arrow's impossibility theorem states that rank-voting systems are unable to satisfy the independence of irrelevant alternatives criterion without exhibiting other undesirable properties as a consequence.
For example, instant runoff voting is considered to have less frequent IIA failure than First Past the Post ( also known as Plurality Rule ).
The independence of Smith-dominated alternatives ( ISDA ) criterion is much weaker than IIA ; unlike IIA, some ranked-ballot voting methods can pass ISDA.
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