Pareto efficiency: Difference between revisions

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{{wikipedia|Pareto efficiency}}
The'''Pareto efficiency''' (frequently referred to as the "'''Pareto criterion'''" or "'''Unanimity criterion'''" in the [[election method]] context) is a basic criterion for evaluating [[voting system|voting systems]]. It can be defined in this way:
 
{{definition|If every voter ranksprefers candidatealternative ''A''X aboveover candidatealternative ''B''Y, then ''B''the mustelection notmethod beprefers elected.X over Y}}
 
This criterion is important in the context of [[Arrow's impossibility theorem]], since it was one of Arrow's criteria in the theorem.
 
Virtually every devised election method satisfies this criterion. An example of a method which would fail it would be ''Random Candidate'', where some candidate is elected at random, regardless of the submitted votes.
 
A second, stronger variation of the criterion (meaning it implies the first variation of the criterion as well) is "if at least one voter prefers X over Y, and no voters prefer Y over X, then the system prefers X over Y."
 
'''Independence of Pareto-dominated alternatives (IPDA)''' says that if one option (X) wins an election, and a new alternative (Y) is added, X will win the election if Y is Pareto-dominated (using the second version of the criterion).
 
The Pareto criterion is the single-winner case of Hare-[[PSC]].
 
[[Category:Voting system criteria]]
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