Editing Block voting (section)

=== Block voting and approval block voting ===
A 3-member district with 10,000 voters features 12 candidates. Block voting allows each voter to cast only one vote for a single candidate.

* Under ''unlimited'' block ''approval'' voting, voters can select any number of candidates.
* Under ''limited'' block approval voting, voters can cast up to six votes, twice the number of winners.
* Under ''plurality'' block voting, voters can cast up to three votes, though it's not mandatory.
* Under ''limited'' (block) voting, voters can cast a maximum of two votes.
* Under the [[single non-transferable vote]] (which is not block voting), voters can cast only one vote.

Party A has an approximate 35% electorate support, notably due to one well-received candidate. Party B holds around 25% backing, comprising two popular candidates. The remaining voters primarily favor independent candidates, but tend to lean towards Party B if pressed to choose between the two main parties. All voters engage in [[sincere voting]] with no tactical influence.
{| class="wikitable"
! rowspan="2" |Candidate
! colspan="2" rowspan="2" |Party
! colspan="4" |Block approval voting
! colspan="4" |Limited block approval voting
! colspan="4" |Plurality block voting
! colspan="4" |Limited (block) voting
! colspan="4" |Single non-transferable vote
|-
!Votes
!%
! colspan="2" |Elected?
!Votes
!%
! colspan="2" |Elected?
!Votes
!%
! colspan="2" |Elected?
!Votes
!%
! colspan="2" |Elected?
!Votes
!%
! colspan="2" |Elected?
|-
|Candidate A1
| style="background:#D10000" |
|Party A
|4200
|42%
|8.
|
|4000
|40%
|5.
|
|'''3555'''
|'''36%'''
|'''3.'''
|'''Yes'''
|1800
|18%
|4.
|
|800
|8%
|4.
|
|-
|Candidate A2
| style="background:#D10000" |
|Party A
|4500
|45%
|5.
|
|4100
|40%
|4.
|
|'''3700'''
|'''37%'''
|'''1.'''
|'''Yes'''
|'''3500'''
|'''35%'''
|'''1.'''
|'''Yes'''
|'''1900'''
|'''19%'''
|'''1.'''
|'''Yes'''
|-
|Candidate A3
| style="background:#D10000" |
|Party A
|3900
|39%
|9.
|
|3800
|40%
|7.
|
|'''3600'''
|'''36%'''
|'''2.'''
|'''Yes'''
|'''2000'''
|'''20%'''
|'''2.'''
|'''Yes'''
|700
|7%
|9.
|
|-
|Candidate B1
| style="background:#0008A5" |
|Party B
|'''5200'''
|'''52%'''
|'''1.'''
|'''Yes'''
|'''4900'''
|'''49%'''
|'''1.'''
|'''Yes'''
|2600
|26%
|4.
|
|1750
|18%
|5.
|
|'''900'''
|'''9%'''
|'''3.'''
|'''Yes'''
|-
|Candidate B2
| style="background:#0008A5" |
|Party B
|'''5000'''
|'''50%'''
|'''2.'''
|'''Yes'''
|'''4600'''
|'''46%'''
|'''3.'''
|'''Yes'''
|2500
|25%
|5.
|
|'''1950'''
|'''20%'''
|'''3.'''
|'''Yes'''
|'''1100'''
|'''11%'''
|'''2.'''
|'''Yes'''
|-
|Candidate B3
| style="background:#0008A5" |
|Party B
|4700
|47%
|4.
|
|'''4200'''
|'''42%'''
|'''2.'''
|'''Yes'''
|2400
|24%
|6.
|
|1425
|14%
|7.
|
|400
|4%
|12.
|
|-
|Candidate I1
|
|Independent
|4400
|44%
|6.
|
|3800
|38%
|7.
|
|2300
|23%
|8.
|
|1400
|14%
|8.
|
|800
|8%
|4.
|
|-
|Candidate I2
|
|Independent
|'''4900'''
|'''49%'''
|'''3.'''
|'''Yes'''
|4000
|40%
|5.
|
|2395
|20%
|7.
|
|1500
|15%
|6.
|
|800
|8%
|4.
|
|-
|Candidate I3
|
|Independent
|4400
|44%
|6.
|
|3700
|37%
|9.
|
|1900
|19%
|9.
|
|1300
|13%
|9.
|
|700
|7%
|7.
|
|-
|Candidate I4
|
|Independent
|3900
|39%
|9.
|
|3200
|32%
|10.
|
|1800
|15%
|10
|
|1200
|12%
|10.
|
|700
|7%
|7.
|
|-
|Candidate I5
|
|Independent
|2600
|26%
|11.
|
|2000
|20%
|11.
|
|650
|7%
|11.
|
|625
|6%
|11.
|
|600
|6%
|10.
|
|-
|Candidate I6
|
|Independent
|2300
|23%
|12.
|
|1700
|17%
|12.
|
|600
|6%
|12.
|
|550
|6%
|12.
|
|500
|5%
|11.
|
|-
| colspan="3" |''TOTAL votes cast''
|50000
|
|
|
|44000
|
|
|
|28000
|
|
|
|19000
|
|
|
|10000
|
|
|
|-
| colspan="3" |TOTAL possible votes
|120000
|
|
|
|60000
|
|
|
|30000
|
|
|
|20000
|
|
|
|10000
|
|
|
|-
| colspan="3" |Voters
|10000
|100%
|
|
|10000
|100%
|
|
|10000
|100%
|
|
|10000
|100%
|
|
|10000
|100%
|
|
|}

* Under the single non-transferable vote, the three most popular candidates based on voters' initial preferences are elected, irrespective of party affiliation.
* In limited voting, it is probable that the party with a plurality secures two seats (reflecting the number of votes each voter has), while the minority party gains the remaining seats.
* Plurality block voting generally results in the party with the most support winning all available seats.
* Limited block approval voting allows independent candidates' supporters to use their additional votes to assist candidates other than their top three choices, possibly leading to a reversal of the outcome observed in plurality block voting.
* Block approval voting permits any popular party-affiliated or independent candidates to be elected, but it's plausible that nearly half of the population might not have a representative elected.