Homogeneity is a common property for
voting systems. The property is satisfied if, in any election, the result depends only on the proportion of ballots of each possible type. Specifically, if every ballot is replicated the same number of times, then the result should not change.
Complying methods
Any voting method that counts voter preferences proportionally satisfies homogeneity, including voting methods such as
Plurality voting,
Two-round system,
Single transferable vote,
Instant Runoff Voting,
Contingent vote,
Coombs' method,
Approval voting
Approval voting is an electoral system in which voters can select many candidates instead of selecting only one candidate.
Description
Approval voting ballots show a list of the options of candidates running. Approval voting lets each voter i ...
,
Anti-plurality voting,
Borda count,
Range voting
Score voting or range voting is an electoral system for single-seat elections, in which voters give each candidate a score, the scores are added (or averaged), and the candidate with the highest total is elected. It has been described by various ...
,
Bucklin voting,
Majority Judgment,
Condorcet methods and others.
Noncomplying methods
A voting method that determines a winner by eliminating candidates not having a ''fixed'' number of votes, rather than a ''proportional'' or a ''percentage'' of votes, may not satisfy the homogeneity criterion.
Dodgson's method does not satisfy homogeneity.
Example of Proportional Preference Profiles
The following four voter preference profiles show rankings of candidates by voters that are proportional.
Profile 1
Profile 2
Profile 3
Profile 4
A voting method satisfying homogeneity will return the same election results for each of the four preference profiles.
References
{{voting systems
Electoral system criteria