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Electoral Quota
In proportional representation systems, an electoral quota is the number of votes a candidate needs to be guaranteed election. Admissible quotas An admissible quota is a quota that is guaranteed to apportion only as many seats as are available in the legislature. Such a quota can be any number between: \frac \leq \text \leq \frac Common quotas There are two commonly-used quotas: the Hare and Droop quotas. The Hare quota is unbiased in the number of seats it hands out, and so is more proportional than the Droop quota (which tends to be biased towards larger parties); however, the Droop quota guarantees that a party that wins a majority of votes will win at least half of all seats in a legislature. Hare quota The Hare quota (also known as the ''simple'' quota or Hamilton's quota) is the most common the largest remainder method of party-list proportional representation. It was used by Thomas Hare in his first proposals for STV. It is given by the expression: \frac Speci ...
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Proportional Representation
Proportional representation (PR) refers to a type of electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to geographical (e.g. states, regions) and political divisions (Political party, political parties) of the electorate. The essence of such systems is that all votes cast - or almost all votes cast - contribute to the result and are actually used to help elect someone—not just a Plurality (voting), plurality, or a bare majority—and that the system produces mixed, balanced representation reflecting how votes are cast. "Proportional" electoral systems mean proportional to ''vote share'' and ''not'' proportional to population size. For example, the United States House of Representatives, US House of Representatives has 435 districts which are drawn so roughly equal or "proportional" numbers of people live within each district, yet members of the House are elected in first-past-the-post e ...
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Cumulative Voting
Cumulative voting (also accumulation voting, weighted voting or multi-voting) is a multiple-winner method intended to promote more proportional representation than winner-take-all elections such as block voting or first past the post. Cumulative voting is used frequently in corporate governance, where it is mandated by some (7) U.S. states ''(''see e.g., ''Minn. Stat. Sec. 302A.111 subd. 2(d).)''. History Cumulative voting was used to elect the Illinois House of Representatives from 1870 until its repeal in 1980 and used in England and Scotland in the late 19th century to elect some school boards. As of March 2012, more than fifty communities in the United States use cumulative voting, all resulting from cases brought under the National Voting Rights Act of 1965. Among them are Peoria, Illinois for half of its city council, Chilton County, Alabama for its county council and school board, and Amarillo, Texas, for its school board and College Board of Regents. Courts someti ...
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Proportional Representation
Proportional representation (PR) refers to a type of electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to geographical (e.g. states, regions) and political divisions (Political party, political parties) of the electorate. The essence of such systems is that all votes cast - or almost all votes cast - contribute to the result and are actually used to help elect someone—not just a Plurality (voting), plurality, or a bare majority—and that the system produces mixed, balanced representation reflecting how votes are cast. "Proportional" electoral systems mean proportional to ''vote share'' and ''not'' proportional to population size. For example, the United States House of Representatives, US House of Representatives has 435 districts which are drawn so roughly equal or "proportional" numbers of people live within each district, yet members of the House are elected in first-past-the-post e ...
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Single Transferable Vote
Single transferable vote (STV) is a multi-winner electoral system in which voters cast a single vote in the form of a ranked-choice ballot. Voters have the option to rank candidates, and their vote may be transferred according to alternate preferences if their preferred candidate is eliminated, so that their vote is used to elect someone they prefer over others in the running. STV aims to approach proportional representation based on votes cast in the district where it is used, so that each vote is worth about the same as another. Under STV, no one party or voting bloc can take all the seats in a district unless the number of seats in the district is very small or almost all the votes cast are cast for one party's candidates (which is seldom the case). This makes it different from other district voting systems. In majoritarian/plurality systems such as first-past-the-post (FPTP), instant-runoff voting (IRV; also known as the alternative vote), block voting, and ranked-v ...
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Quota Rule
In mathematics and political science, the quota rule describes a desired property of a proportional apportionment or election method. It states that the number of seats that should be allocated to a given party should be between the upper or lower roundings (called upper and lower quotas) of its fractional proportional share (called natural quota).Michael J. Caulfield"Apportioning Representatives in the United States Congress - The Quota Rule" MAA Publications. Retrieved October 22, 2018 As an example, if a party deserves 10.56 seats out of 15, the quota rule states that when the seats are allotted, the party may get 10 or 11 seats, but not lower or higher. Many common election methods, such as all highest averages methods, violate the quota rule. Mathematics If P is the population of the party, T is the total population, and S is the number of available seats, then the natural quota for that party (the number of seats the party would ideally get) is : \frac P T \cdot S The lower ...
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Australia
Australia, officially the Commonwealth of Australia, is a sovereign ''Sovereign'' is a title which can be applied to the highest leader in various categories. The word is borrowed from Old French , which is ultimately derived from the Latin , meaning 'above'. The roles of a sovereign vary from monarch, ruler or ... country comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands. With an area of , Australia is the largest country by area in Oceania and the world's sixth-largest country. Australia is the oldest, flattest, and driest inhabited continent, with the least fertile soils. It is a megadiverse country, and its size gives it a wide variety of landscapes and climates, with deserts in the centre, tropical Forests of Australia, rainforests in the north-east, and List of mountains in Australia, mountain ranges in the south-east. The ancestors of Aboriginal Australians began arriving from south east Asia approx ...
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Malta
Malta ( , , ), officially the Republic of Malta ( mt, Repubblika ta' Malta ), is an island country in the Mediterranean Sea. It consists of an archipelago, between Italy and Libya, and is often considered a part of Southern Europe. It lies south of Sicily (Italy), east of Tunisia, and north of Libya. The official languages are Maltese language, Maltese and English language, English, and 66% of the current Maltese population is at least conversational in the Italian language, Italian language. Malta has been inhabited since approximately 5900 BC. Its location in the centre of the Mediterranean Sea, Mediterranean has historically given it great strategic importance as a naval base, with a succession of powers having contested and ruled the islands, including the Phoenicians and Ancient Carthage, Carthaginians, Romans, Greeks, Arabs, Normans, Aragonese, Knights Hospitaller, Knights of St. John, French, and British, amongst others. With a population of about 516,000 over an ...
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Northern Ireland
Northern Ireland ( ga, Tuaisceart Éireann ; sco, label=Ulster-Scots, Norlin Airlann) is a part of the United Kingdom, situated in the north-east of the island of Ireland, that is variously described as a country, province or region. Northern Ireland shares an open border to the south and west with the Republic of Ireland. In 2021, its population was 1,903,100, making up about 27% of Ireland's population and about 3% of the UK's population. The Northern Ireland Assembly (colloquially referred to as Stormont after its location), established by the Northern Ireland Act 1998, holds responsibility for a range of devolved policy matters, while other areas are reserved for the UK Government. Northern Ireland cooperates with the Republic of Ireland in several areas. Northern Ireland was created in May 1921, when Ireland was partitioned by the Government of Ireland Act 1920, creating a devolved government for the six northeastern counties. As was intended, Northern Irela ...
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Republic Of Ireland
Ireland ( ga, Éire ), also known as the Republic of Ireland (), is a country in north-western Europe consisting of 26 of the 32 Counties of Ireland, counties of the island of Ireland. The capital and largest city is Dublin, on the eastern side of the island. Around 2.1 million of the country's population of 5.13 million people resides in the Greater Dublin Area. The sovereign state shares its only land border with Northern Ireland, which is Countries of the United Kingdom, part of the United Kingdom. It is otherwise surrounded by the Atlantic Ocean, with the Celtic Sea to the south, St George's Channel to the south-east, and the Irish Sea to the east. It is a Unitary state, unitary, parliamentary republic. The legislature, the , consists of a lower house, ; an upper house, ; and an elected President of Ireland, President () who serves as the largely ceremonial head of state, but with some important powers and duties. The head of government is the (Prime Minister, liter ...
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India
India, officially the Republic of India ( Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the north; and Bangladesh and Myanmar to the east. In the Indian Ocean, India is in the vicinity of Sri Lanka and the Maldives; its Andaman and Nicobar Islands share a maritime border with Thailand, Myanmar, and Indonesia. Modern humans arrived on the Indian subcontinent from Africa no later than 55,000 years ago., "Y-Chromosome and Mt-DNA data support the colonization of South Asia by modern humans originating in Africa. ... Coalescence dates for most non-European populations average to between 73–55 ka.", "Modern human beings—''Homo sapiens''—originated in Africa. Th ...
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Semi-proportional Representation
Semi-proportional representation characterizes multi-winner electoral systems which allow representation of minorities, but are not intended to reflect the strength of the competing political forces in close proportion to the votes they receive. Semi-proportional voting systems can be regarded as compromises between forms of proportional representation such as party-list PR, and plurality/majoritarian systems such as first-past-the-post voting. Examples of semi-proportional systems include the single non-transferable vote, limited voting, and parallel voting. Semi-proportional systems Most proportional representation systems do not yield precisely proportional outcomes due to the use of election thresholds, small electoral regions, or other implementation details that vary from one elected body to another. This article deals primarily with systems inherently designed to produce moderately proportional election results. The choice to use a semi-proportional electoral system may be ...
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Hare Quota
The Hare quota (also known as the simple quota) is a formula used under some forms of proportional representation. In these voting systems the quota is the number of votes that guarantees a candidate, or a party in some cases, captures a seat. The Hare quota is the total number of votes divided by the number of seats to be filled. This is the simplest quota, but the Droop quota is mostly used currently. The Hare quota can be used in the single transferable vote (STV-Hare) system and the largest remainder method (LR-Hare) and other quota rule compatible methods of party-list proportional representation. Both versions are named after the political scientist Thomas Hare, but the largest remainder method in which it is used is also sometimes called the Hare–Niemeyer method (after Horst Niemeyer) or the Hamilton method (after Alexander Hamilton). Formula The Hare quota may be given as: :\frac where *Total votes = the total valid poll; that is, the number of valid (unspoilt) vot ...
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