Voting system criterion: Difference between revisions

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Many criteria relate to sets of candidates; see the [[set theory]] article for more information.
 
=== Terminology note ===
Further, a common terminology when comparing two criteria is to say one is stronger than the other when it applies to every situation the other applies to and more (a superset), with weaker meaning it applies to only a subset of the situations.
 
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[[Summability criterion]]
 
Sometimes desirable properties or criteria are called desiderata.
 
There is disagreement over how important the various other criteria are. Some criteria are even considered bad by some.
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Here are some criteria often touted by advocates of [[majority rule]], split into categories of "widely agreed on" and criteria which are more polarizing:
 
[[Majority criterion]], [[Mutual majority criterion]], [[Majority loser criterion]], [[Droop proportionality criterion]]
 
 
[[Condorcet criterion]], [[Smith criterion]], [[Condorcet loser]]
 
=== Proportionality-related criteria ===
[[Proportionality for Solid Coalitions]]
 
=== Strategic voting-related criteria ===
[[Strategy-free criterion]]
 
=== Protecting voters' preferences ===
These can generally be split into two categories: criteria which protect a voter from hurting a candidate (which doesn't prevent the voter themselves from getting hurt, since they may end up hurting a candidate not covered by the criterion), and criteria that protect a voter from hurting themselves.
 
==== Protecting candidates ====
[[Later-no-harm]], [[Monotonicity]]
 
=== Protecting voters ===
[[Favorite betrayal]], [[Independence of irrelevant alternatives]]
 
=== Mathematical criteria ===
[[Consistency criterion]], [[Summability]]
 
==== Axiomatic criteria ====
These generally are considered essential and basic features of any voting method
 
[[Discrimination axiom]], [[Homogeneity criterion]]
 
=== Miscellaneous criteria ===
[[Condorcet criterion]], [[Smith criterion]]
[[Immunity from 2nd Place Complaints]]
 
== Types of criteria ==