Mixed ballot transferable vote

File:Mixed ballot.png

The mixed ballot transferable vote (MBTV) refers to a type of vote linkage-based mixed-member electoral system where a group of members are elected on local (lower) tier, for example in single-member districts (SMDs). Other members are elected on a compensatory national (upper) tier from a list and voters cast a single ballot where they may indicate their preferences separately.https://doi.org/10.13140/RG.2.2.15129.34407 Electoral incentives and the equal value of ballots in vote transfer systems with positive winner compensation

A dual vote mixed system is not necessarily a mixed ballot system, particularly the ones using separate ballots for the two votes. This article is primarily about systems using mixed ballots. For the dual vote, hybrid versions of parallel voting and MSV used in Hungary and formerly used in Italy for national elections, see scorporo.{{Cite web |last=Political Capital |date=2012 |title=The New Electoral Law in Hungary — In-depth Analysis |url=http://www.valasztasirendszer.hu/wp-content/uploads/PC_ElectoralSystem_120106.pdf}}

Overview

Unused votes from the lower tier are counted on the upper tier in a compensatory way using a (partial, positive) vote transfer mechanism. This tied, preferential nature of the dual ballot makes it different from mixed-member proportional (seat linkage compensatory) and parallel voting (non-compensatory) systems, which also use two votes for the two tiers. How proportional the outcome is depends on among other factors, the rules (what counts as "wasted" vote) and parameters (e.g. the number of compensatory seats) used in the system.{{Cite journal|last=Golosov|date=2013|title=The Case for Mixed Single Vote Electoral Systems|journal=The Journal of Social, Political, and Economic Studies}}

In Hungary, elections to the National Assembly use a dual vote based positive vote transfer system,{{Cite web|title=2011. évi CCIII. törvény az országgyűlési képviselők választásáról|trans-title=Act CCIII. of 2011. on the election of members of the National Assembly|url=https://net.jogtar.hu/jogszabaly?docid=a1100203.tv|language=hu}} where votes for candidates that did not win a seat are added along with excess votes for the winner in the seat to the list votes.{{Cite web |last=Political Capital |date=2012 |title=The New Electoral Law in Hungary — In-depth Analysis |url=http://www.valasztasirendszer.hu/wp-content/uploads/PC_ElectoralSystem_120106.pdf}} This has plurality SMDs and also partially compensates winning candidates, however, that system uses a parallel voting component to count list votes (which are located on separate ballots).

A system formerly used in Italy, scorporo is also a dual vote and vote linkage based mixed electoral system, but differs from MBTV in that it uses negative vote transfer as its compensatory mechanism compensation. These systems lack the "transferable" (preferential) part of MBTV, in favour of an automatic vote transfer based on party affiliation.

!single vote systems !dual vote systems
class="wikitable" ! colspan="3" \|Compensatory mixed systems
rowspan="3" \|Seat linkage \| rowspan="2" \|mixed single vote, top-up versions (MSV) single vote (Lesotho) \|Two vote "top-up" - broadly mixed-member proportional representation (MMP) additional member system (AMS) alternative vote plus (AV+)
rowspan="2" \|Hybrids: e.g. parallel voting+seat linkage compensation (South Korea)
dual-member mixed proportional (DMP)
rowspan="3" \|Vote linkage \|positive vote transfer Hungary (local elections) \|Hybrids (parallel voting+vote linkage): parallel voting+positive vote transfer (Hungary) parallel voting+ negative vote transfer (scorporo) (Italy, 1993–2005)
colspan="2" \|Others systems:
colspan="2" \|mixed ballot transferable vote (MBTV) - preferential mixed single vote

Variations

= Plurality =

The simplest type of MBTV system allows two single choices on the ballot: one for a local candidate, one for a party list. This type of ballot is also used in the electoral system of Germany{{Cite web|date=3 June 2021|title=Federal Elections Act, as last amended by Article 2 of the Act of 3 June 2021|url=https://www.bundeswahlleiter.de/en/dam/jcr/4ff317c1-041f-4ba7-bbbf-1e5dc45097b3/bundeswahlgesetz_engl.pdf}} and New Zealand.

= Ranking =

A ballot can allow either the voter to rank the candidates or the party lists or both, in this case rankings can be used for a system of elimination, like that of instant-runoff voting (to determine local winners and which parties pass the entry threshold). If ranking of both is allowed, the ballot design can also allow to intermix the rankings, providing a full ranking.

The ranked ballots can also be used for elections by STV on the local tier, an example is a proposal by Schulz,{{Cite web |last=Schulze |first=Markus |title=The Schulze Method of Voting |url=https://arxiv.org/pdf/1804.02973}} where not only can voters rank parties intermixed with candidates on a local level, but another party vote can be cast for the MMP-type of compensation (seat linkage). The system utilizes the mixed ballot by providing that if a party has received overhang seats, then only a certain share of those ballots which have contributed to the election candidates of that party will be considered when counting the party votes. The rest of those ballots are considered to have been cast for the party of those candidates who got elected, which avoids split ticket voters double voting power.

= Other =

MBTV systems may be designed around other systems, for example approval and proportional approval voting.

Usage of mixed ballots

File:Bundestagswahl2005 stimmzettel small.jpg

The German electoral system, which, while it falls under the category of MMP systems due to its seat linkage mechanism, also uses a mixed ballot on which the first vote (Erststimme) and second vote (Zweitstimme) are both single choice votes. In addition, as in MBTV, not all ballots are used in the compensatory tier, such namely ballots cast for independent candidates who have won a district seat and parties below the electoral threshold. This mechanism makes it similar to the preferential interpretation of the mixed ballot when it would be used in a purely vote linkage based system.