Pareto efficiency: Difference between revisions

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{{wikipedia|Pareto efficiency}}
{{wikipedia|Pareto efficiency}}
The '''Pareto criterion''' or unanimity criterion is a basic criterion for evaluating [[voting system|voting systems]]. It can be defined in this way:
'''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 prefers alternative X over alternative Y, then the system prefers X over Y}}
{{definition|If every voter prefers alternative X over alternative Y, then the election method prefers X over Y}}


This criterion is important in the context of [[Arrow's impossibility theorem]].
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.
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.