Proportional representation is an electoral approach that hands out legislative seats in proportion to each party’s share of the popular vote: if a party wins 30 percent of the vote, it wins roughly 30 percent of the seats. Understanding how proportional representation works starts with one structural choice — electing several representatives from the same area at once — and then branches into different methods for turning votes into those seats. More than 130 countries use some form of proportional or mixed system for their national legislature, making it the most common democratic model in the world.
Multi-Member Districts Are the Foundation
Winner-take-all elections split a country into districts that each send one representative to the legislature. A candidate who wins 51 percent takes the seat, and the other 49 percent of voters get nothing. Proportional systems replace that structure with multi-member districts, where several representatives are chosen from the same area in the same election. In a five-seat district, a party with 40 percent of the vote can expect two seats, and a party with 20 percent can expect one.
The size of the district shapes how proportional the outcome is. Larger districts distribute seats more finely and make gerrymandering much harder to pull off. Research covering 54 democracies has found that boundary manipulation is inherent to single-seat districts but far less serious in multi-member ones, and once a district reaches around five seats, drawing lines to predetermine the winner becomes almost impossible. Larger districts also absorb the natural geographic sorting of voters, so pockets of concentrated support don’t distort the overall result.
Thresholds Decide Who Gets In
Most proportional systems require a party to clear a minimum vote share before it qualifies for any seats. Without a threshold, a legislature can splinter into dozens of tiny factions, none large enough to govern. With one, voters who back a party below the cutoff go unrepresented. Countries pick their own balance.
Germany sets the bar at five percent of the national vote, or three directly won constituency seats, to enter the Bundestag.1German Bundestag. Distribution of Seats Turkey uses seven percent. Israel uses 3.25 percent. The Netherlands has no formal threshold at all — a party needs only enough votes to fill one of the 150 seats, which works out to about 0.67 percent of the total. That low bar routinely produces Dutch parliaments with 15 or more parties. A higher threshold pushes smaller movements to merge or ally before election day; a lower one lets niche parties survive on their own but crowds the negotiating table when a government has to be formed.
Party List Systems
Party lists are the most common way to run a proportional election. Each party publishes a slate of candidates before the vote, and seats are filled from that slate based on the party’s total. How much say voters have over which individuals on the list actually take office depends on the type of list.
Closed Lists
In a closed list system, voters pick a party rather than a person. The party ranks its candidates in advance, and if it wins five seats, the top five names on its list take office. Voters cannot reorder the list. Party leadership decides who serves, which critics argue makes elected officials more responsive to the party hierarchy than to the electorate.
Open Lists
Open list systems let voters push individual candidates up the ranking. The rules vary by country. Finland and Poland allow voters to pick one candidate. Belgium lets voters mark as many candidates as there are seats. Czechia and Slovakia allow up to four preferences. When enough voters back a candidate lower down the list, that candidate can leapfrog higher-ranked names the party had placed above them.
Free Lists
Switzerland and Luxembourg go further with free lists, sometimes called panachage. Voters can pick candidates from more than one party on a single ballot, mixing across party lines, and can give a favored candidate two votes to signal strong support. It’s the most voter-driven form of list PR and also the most complex to count.
Single Transferable Vote
The Single Transferable Vote works differently from party lists. Voters rank individual candidates in order of preference inside a multi-member district. There’s no requirement to stick with one party — a voter’s first choice might be from one party and their second from a rival.
To win, a candidate must reach an electoral quota. The most common formula is the Droop quota: divide the total valid votes by the number of seats plus one, then add one.2ACE Electoral Knowledge Network. The Single Transferable Vote (STV) In a district with 10,000 valid votes and four seats, the quota is 2,001. Any candidate who reaches that number on first preferences is elected immediately.
Then the transfers begin. When a winning candidate exceeds the quota, the surplus votes move to each ballot’s next-ranked candidate. If a candidate received 2,500 votes against a quota of 2,001, 499 votes’ worth of preferences shift down the line. If no one reaches the quota in a given round, the candidate with the fewest votes is eliminated and their ballots transfer to their next preferences. Rounds continue until every seat is filled.
How surplus votes get transferred matters. One method randomly picks which ballots to move, which introduces chance into the result. The more common modern method transfers every ballot at a fractional value — in the example above, each ballot moves to its next preference at a value of 499/2,500, about 0.20 per vote.3Electoral Reform Society. Which Votes Get Transferred With the Single Transferable Vote? The fractional approach removes the randomness.
STV Is Not the Same as Single-Winner Ranked Choice
The ranked choice voting used in several U.S. cities and for Australian House seats looks similar on the ballot but produces a very different result. In a single-winner race, a candidate needs a majority to win; the lowest-ranked candidate is eliminated each round until someone crosses 50 percent. Because only one person wins, the outcome isn’t proportional. A faction holding 55 percent of the vote can sweep every single-winner race in a jurisdiction.
Multi-member STV lowers the winning threshold as more seats are added. In a two-seat district, a candidate needs about a third of the vote. In a five-seat district, roughly one-sixth. A political minority making up 20 percent of the electorate can reliably elect one representative out of five instead of being shut out. Proportionality comes from the multi-member structure, not from the act of ranking.
How Votes Turn Into Seats
In list systems, a mathematical formula does the final conversion. The two main families — highest averages and largest remainders — can give slightly different results from the same votes.
Highest Averages: D’Hondt and Sainte-Laguë
The D’Hondt method is the most widely used highest averages formula. Each party’s total is divided by a sequence of whole numbers (one, two, three, four, and so on), producing quotients. Seats are handed out one at a time to whichever party has the highest quotient still available.4European Parliamentary Research Service. Understanding the D’Hondt Method A party that has already won seats sees its quotient drop after each win, which prevents any single party from sweeping the board. Even so, D’Hondt tends to favor larger parties: a party with twice the votes of a rival usually ends up with slightly more than twice the seats.
The Sainte-Laguë method uses odd-number divisors (one, three, five, seven, and so on). The bigger gaps between divisors soften D’Hondt’s bias toward front-runners and give mid-sized and smaller parties a better shot. Several Scandinavian countries use a modified version where the first divisor is 1.4 instead of one, which raises the bar for a party’s first seat but keeps things more balanced afterward.
Largest Remainders
Largest remainder methods work in two stages. First, calculate a quota — the Hare quota is simply total votes divided by total seats. Divide each party’s vote total by the quota; the whole-number part is the party’s initial seat count. Those initial allocations almost never use up all the seats, so leftover seats go to the parties with the largest remaining fractions. A party whose division yields 3.7 takes three seats in the first pass and competes for a remainder seat on the strength of that 0.7.
The quota changes the result. The Hare quota tends to be slightly more proportional and helps smaller parties. The Droop quota, when used with largest remainders instead of STV, tilts a little toward larger parties but guarantees any majority party wins at least half the seats.
Mixed-Member Proportional Systems
Some countries blend winner-take-all and proportional mechanics into one system. Under mixed-member proportional representation, voters usually cast two ballots: one for a local candidate in a single-member district and one for a party. Local races fill part of the legislature, and the party vote determines the overall proportional balance.5ACE Electoral Knowledge Network. Mixed Member Proportional (MMP)
The list seats act as a correction. If a party wins ten percent of the party vote but no local seats, it receives enough list seats to bring its total up to ten percent of the legislature. Germany and New Zealand are the best-known examples; Germany elects 299 members from local constituencies and uses the rest of the chamber to balance the result. Lesotho uses a different split — 80 constituency seats and 40 compensatory ones.
MMP has a recurring complication. When a party wins more local seats than its party vote would justify, those extra seats (overhang seats) throw off the proportional balance. Many MMP systems traditionally added leveling seats to underrepresented parties to fix this, which restored proportionality but expanded the legislature, sometimes by a lot.6International IDEA. Mixed Electoral Systems: Design and Practice Germany’s Bundestag grew past 700 members before the country reformed the rules in 2023 and capped the chamber at 630.
Coalition Government After the Vote
Proportional systems rarely produce a single party with an outright majority, so elections are usually followed by coalition negotiations. Centrist parties often lead the talks, reaching out to potential partners on either side. The process can take weeks, or in fragmented parliaments, months.
Coalitions come in two basic forms. A full coalition means two or more parties share cabinet positions, negotiate a joint policy program, and vote together on legislation. A confidence and supply agreement is lighter: a smaller party promises to support the government on budget votes and formal confidence motions but keeps its distance on everything else, giving up cabinet seats in exchange for independence.
Critics argue voters don’t choose a government directly under PR, and that small parties can wield outsized influence as kingmakers. Defenders say coalitions force compromise and produce policies that reflect broader public support than a bare plurality would. The evidence on stability is mixed. Germany and the Netherlands have had long stretches of stable governance under PR; Italy and Israel have cycled through governments quickly. The threshold, the number of parties, and the political culture matter as much as the electoral system.
Proportional Representation and U.S. Elections
Federal law bars proportional representation for the U.S. House. Each member must be elected from a single-member district under 2 U.S.C. § 2c, a requirement that has been in place since the 1960s.7Office of the Law Revision Counsel. 2 USC 2c – Single Member Districts for Congressional Elections Congress could change that by ordinary legislation, without a constitutional amendment, but has not. The Fair Representation Act, reintroduced in July 2025, would replace single-member congressional districts with multi-member districts using ranked choice voting and would apply ranked choice voting to Senate races as well.8U.S. Representative Don Beyer. House Delegation Reintroduces Fair Representation Act to Reform Congressional Elections The bill has been introduced in multiple sessions without reaching a floor vote.
At the local level, some U.S. cities used proportional representation in the early-to-mid 20th century, and some still use methods like cumulative voting or limited voting for city council and school board elections. Those methods don’t produce full proportionality, but they give minority groups a better shot at representation than a winner-take-all race in the same district. For now, PR remains uncommon in American elections.