Relation To Other Criteria
The Condorcet criterion implies the majority criterion; that is, any system that satisfies the former will satisfy the latter. Because of this, Arrow's impossibility theorem shows that any method which satisfies the Condorcet criterion will not satisfy independence of irrelevant alternatives.
The Condorcet criterion is also incompatible with the later-no-harm criterion, the participation criterion, and the consistency criterion.
Read more about this topic: Condorcet Criterion
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