Pareto efficiency: Difference between revisions

Removing "rename" banner suggesting the move to "Pareto efficiency", and clarifying the introduction a bit
m (RobLa moved page Pareto criterion to Pareto efficiency over redirect: Matching up with w:Pareto efficiency)
(Removing "rename" banner suggesting the move to "Pareto efficiency", and clarifying the introduction a bit)
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{{rename|from=Pareto criterion|to=Pareto efficiency}}
{{wikipedia|Pareto efficiency}}
The'''Pareto efficiency''' (frequently referred to as the "'''Pareto criterion'''" or unanimity"'''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 prefers alternative X over alternative Y, then the systemelection method prefers 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.