Proportional representation (PR) refers to the fair and accurate translation of citizen and party makeup into the legislature. If x percent of voters support a certain party, then x percent of the legislature should mirror that party. Proportional representation voting systems are comprised of three main variations: the party list system, the mixed-member system, and the single transferable vote (or choice voting).
Input: multimember districts, voting base, intentional (often low) exclusion threshold
Output: multiparty representation, proportional allocation of seats
Proportional representation voting systems came about as a reaction to the inaccurate representation of parties that frequently occurred in the plurality and majority voting systems. In the late 19th and early 20th centuries, many European countries began to realize the need for increasingly diverse parties to have a fair share of seats as suffrage expanded voter pools. The shift to proportional representation occurred for most European countries by 1920; Western democracies mirrored this trend throughout the 20th century.
Many Western democracies use PR systems, including Sweden, Denmark, Finland, Norway, Netherlands, Germany, Belgium, and Ireland.