Block voting

In a block voting election, all candidates run against each other for m number of positions, where m is commonly called the district magnitude. Each voter selects up to m candidates on the ballot (voters are sometimes said to have m votes; however, they are unable to vote for the same candidate more than once, as is permitted in cumulative voting).[2] Voters are most commonly permitted to cast their votes across more than one party list.[3] The m candidates with the most votes (who may or may not obtain a majority of available votes) are the winners and will fill the positions.

The majority-at-large voting is the plurality-at-large voting, but candidates who do not receive an absolute majority must compete in a second round.

Party block voting (PBV), or general ticket, is the party-list version of the block vote. In contrast to the classic block vote, where the candidates may formally stand as non-partisan and some minority nominations can be theoretically successful, in PBV each candidate is linked to their party list, which is voted by the electors, producing a landslide, and any minority representation is excluded. This system is used to elect the vast majority of the Parliament of Singapore.

In block approval voting, every voter may vote for any number of candidates (but no more than once for each candidate).

Block voting, or plurality block voting, is often compared with preferential block voting as both systems tend to produce landslide victories for similar candidates. Instead of a series of checkboxes, preferential block voting uses a preferential ballot, therefore, it is not a multiple non-transferable vote, but a multiple transferable vote. A slate of clones of the top preferred candidate will win every seat under both systems, however, in preferential block voting, this is instead the instant-runoff winner.

Partial block voting, also called limited voting, functions similarly to plurality-at-large voting, however, in partial block voting, each voter casts fewer votes than the number of candidates to be elected. This in turn can enable reasonably sized minorities to achieve some representation, as it becomes impossible for a simple plurality to sweep every seat. Partial bloc voting is used for elections to the Gibraltar Parliament, where each voter has ten votes and seventeen seats are open for election; the usual result is that the most popular party wins ten seats and forms the ruling administration, while the second-most popular wins seven seats and forms the opposition. Partial block voting is also used in the Spanish Senate, where there are four seats per constituency and each voter casts three votes. Historically, partial block voting was used in three- and four-member constituencies in the United Kingdom, where voters cast two votes until multimember constituencies were abolished.

Under partial block voting, the fewer votes each voter is granted, the smaller the number of voters needed to win becomes, and the more like proportional representation the results can be, provided that voters and candidates use proper strategy.[4] At the extreme, if each voter casts only one vote, then the voting system becomes equivalent to the single non-transferable vote. Many votes can be wasted, and vote-splitting can produce unfair results (but likely more balanced than elections under Block Voting). Due to these reasons, the portion of votes needed to win a seat under SNTV may be quite small indeed. (Single transferable voting is more scientific, producing fewer wasted votes. Under STV, the minimum proportion needed to assure victory is the Droop quota, although commonly one or two in each contest are elected with less than that.)[5]

12 candidates are running in a 3-member district of 10,000 voters. Under both types of block voting, voters may cast three votes (but do not have to), but may not cast more than one vote for a single candidate.

Party A has about 35% support among the electorate (with one particularly well-liked candidate), Party B around 25% (with two well-liked candidates), and the remaining voters primarily support independent candidates, but mostly lean towards Party B if they have to choose between the two parties. All voters vote sincerely, and there is no tactical voting.

In the second round, voters of independent candidates can vote for candidates of party B. As even fewer voters cast all their 3 votes, even in the second round, some winners do technically win with a majority, but only a plurality in fact (similar to differences between turnout levels in two-round voting).

The same 12 candidates are running in a 3-member district of 10,000 voters. Under block voting, voters may not cast more than one vote for a single candidate.

• Under unlimited block approval voting, voters may vote for any number of candidates.
• Under limited block approval voting, voters may cast six votes maximum (twice as many as there are winners).
• Under plurality block voting, voters may cast three votes (but do not have to).
• Under limited (block) voting, voters may cast two votes maximum.
• Under the single non-transferable vote (which is not block voting), voters may cast only one vote.

Party A has about 35% support among the electorate (with one particularly well-liked candidate), Party B around 25% (with two well-liked candidates) and the remaining voters primarily support independent candidates, but mostly lean towards party B if they have to choose between the two parties. All voters vote sincerely, there is no tactical voting.

• Under the single non-transferable vote (not a type of approval voting), the 3 most popular candidates according to voters' first preferences are elected, regardless of party affiliation.
• Under limited voting, it is most likely that the party with a plurality takes 2 seats (the number of votes each voter has), and the minority party receives the remaining seats.
• Under plurality block voting, the party with plurality support most likely wins all seats.
• Under limited block approval voting, voters for independent candidates may use their extra votes to help candidates other than their top 3, which may result in the reversal of the plurality block vote result.
• Under block approval voting, any party-affiliated or independent candidates particularly popular among the population may be elected, but it is possible that about half of the population can elect no representatives.