Comparison of electoral systems is the result of comparative politics for electoral systems. Electoral systems are the rules for conducting elections, a main component of which is the algorithm for determining the winner (or several winners) from the ballots cast. This article discusses methods and results of comparing different electoral systems, both those that elect a unique candidate in a 'single-winner' election and those that elect a group of representatives in a multiwinner election.
Various electoral systems can be judged using expert opinions, pragmatic considerations, and candidacy effects.
As well, there are 4 main types of reasoning that have been used to try to determine the best voting method:
Results of simulated elections
Adherence to logical criteria
Results of real elections
Argument by example.
Systems can be by judged according to advantages or disadvantages of different ballot formats or district formats, whether single-member districts or multi-member districts.
One intellectual problem posed by voting theory is that of devising systems that are accurate in some sense. However, there are also practical reasons why one system may be more socially acceptable than another.
The important factors include:
Intelligibility, which Tideman defines as "the capacity of the rule to gain the trust of voters" and "depends on the reasonableness and understandability of the logic of the rule".
Ease of voting. Different forms of ballot make it more or less difficult for voters to fill in ballot papers fairly reflecting their views.
Ease of counting. Voting systems that make their decisions from a small set of counts derived from ballots are logistically less burdensome than those that need to consult the entire set of ballots. Some voting systems require powerful computational resources to determine the winner. Even if the cost is not prohibitive for electoral use, it may preclude effective evaluation.
Other considerations include barriers to entry to the political competition and the proportionality of the seats-to-votes ratio.
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A party-list system is a type of electoral system that formally involves political parties in the electoral process, usually to facilitate multi-winner elections. In party-list systems, parties put forward a list of candidates, the party-list who stand for election on one ticket. Voters can usually vote directly for the party-list, but in other systems voters may vote for directly individuals candidates within or across party lists (such systems are referred to as open list and panachage), besides or instead of voting directly for parties (mixed electoral systems).
The Gallagher index measures an electoral system's relative disproportionality between votes received and seats in a legislature. As such, it measures the difference between the percentage of votes each party gets and the percentage of seats each party gets in the resulting legislature, and it also measures this disproportionality from all parties collectively in any one given election. That collective disproportionality from the election is given a precise score, which can then be used in comparing various levels of proportionality among various elections from various electoral systems.
The mutual majority criterion is a criterion used to compare voting systems. It is also known as the majority criterion for solid coalitions and the generalized majority criterion. The criterion states that if there is a subset S of the candidates, such that more than half of the voters strictly prefer every member of S to every candidate outside of S, this majority voting sincerely, the winner must come from S. This is similar to but stricter than the majority criterion, where the requirement applies only to the case that S contains a single candidate.
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