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What is Full-Proportional Election System?

Proportional representation (sometimes referred to as full representation, or PR), is a category of electoral formula aiming at a close match between the percentage of votes that groups of candidates (grouped by a certain measure) obtain in elections and the percentage of seats they receive (usually in legislative assemblies). It is often contrasted to plurality voting systems, where disproportional seat distribution results from the division of voters into multiple electoral districts, especially "winner takes all" plurality (FPTP) districts.
Various forms of proportional representation exist, such as party-list proportional representation, where the above-mentioned groups correspond directly with candidate lists as usually given by political parties. Within this form a further distinction can be made depending on whether or not a voter can influence the election of candidates within a party list (open list and closed list respectively). Another kind of electoral system covered with the term proportional representation is the single transferable vote (STV), which, in turn, does not depend on the existence of political parties (and where the above-mentioned "measure of grouping" is entirely left up to the voters themselves). Elections for the Australian Senate use what is referred to as above-the-line voting where candidates belonging to registered political parties are grouped together on the ballot paper with the voter provided with the option of "group voting" a semi-open party list/individual candidate system.
There are also electoral systems, single non-transferable vote (SNTV) and cumulative voting, all which offer a variant form of proportional representation. These systems are not true proportional representation, however. They are truly minority representation systems where as many different parties as there are seats should be elected if everyone votes honestly, but often major parties will split their votes in order to make it proportional. Also, with small two or three member districts such systems often give similar results as proportional systems.
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