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Largest Remainder Method
The largest remainder method (also known as Hare–Niemeyer method, Hamilton method or as Vinton's method) is one way of allocating seats proportionally for representative assemblies with party list voting systems. It contrasts with various highest averages methods (also known as divisor methods). Method The ''largest remainder method'' requires the numbers of votes for each party to be divided by a quota representing the number of votes ''required'' for a seat (i.e. usually the total number of votes cast divided by the number of seats, or some similar formula). The result for each party will usually consist of an integer part plus a fractional remainder. Each party is first allocated a number of seats equal to their integer. This will generally leave some remainder seats unallocated: the parties are then ranked on the basis of the fractional remainders, and the parties with the largest remainders are each allocated one additional seat until all the seats have been all ...
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Thomas Hare (political Scientist)
Sir Thomas Hare (28 March 1806 in England – 6 May 1891) was a British lawyer, MP and proponent of electoral reform. In particular he was the inventor of the Single Transferable Voting system, now used in many places in the world. Life He was born on 28 March 1806, was the only son of A Hare of Leigh, Dorset. On 14 November 1828 he was admitted a student of the Inner Temple, and was called to the bar on 22 November 1833. He practised in the chancery courts and from 1841 reported in Vice-chancellor Wigram's court. He studied law, and was called to the Bar in November 1833 and published several works on judges' decisions. In 1853 he became Inspector of Charities and was later Assistant Commissioner on the Royal City Charities Commission, about which he published several books. Elected a Conservative Party Member of Parliament, he resigned from political office in 1846. He became a Peelite, and broke with the Conservatives, but did not wish to join the Liberal Party, prefer ...
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Elections In Tunisia
Following the 2011 Tunisian revolution, elections in Tunisia for the president and the unicameral Assembly of the Representatives of the People are scheduled to be held every five years. The assembly can be dissolved before finishing a full term. Prior to the revolution, elections were held every five to six years, and elected both the president and members of both legislative branches. Following the revolution, elections were held for a Constituent Assembly to decide on a new constitution for Tunisia. From 1956 to 2011, the government and the Constitutional Democratic Rally—originally known as the Neo Destour (1934–1964) and the Socialist Destourian Party (1964–1988)—were effectively one. Although Tunisia was only formally a one-party state from 1963 to 1981, the opposition was usually barely tolerated. With the revolution, several parties have emerged. While there are two numerically major parties— Nidaa Tounes and the Ennahda Movement—no one party has a real ...
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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 l ...
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Alabama Paradox
An apportionment paradox exists when the rules for apportionment in a political system produce results which are unexpected or seem to violate common sense. To apportion is to divide into parts according to some rule, the rule typically being one of proportion. Certain quantities, like milk, can be divided in any proportion whatsoever; others, such as horses, cannot—only whole numbers will do. In the latter case, there is an inherent tension between the desire to obey the rule of proportion as closely as possible and the constraint restricting the size of each portion to discrete values. This results, at times, in unintuitive observations, or paradoxes. Several paradoxes related to apportionment, also called ''fair division'', have been identified. In some cases, simple ''post facto'' adjustments, if allowed, to an apportionment methodology can resolve observed paradoxes. However, as shown by examples relating to the United States House of Representatives, and subsequently p ...
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2012 Hong Kong Legislative Election
The 2012 Hong Kong Legislative Council election was held on 9 September 2012 for the 5th Legislative Council (LegCo) since the establishment of the Hong Kong Special Administrative Region. The election was for the new total of 70 seats in LegCo, ten more than previously, with 35 members elected in geographical constituencies through direct elections, and 35 members in functional constituencies. Under new arrangements agreed in a contentious LegCo vote in 2010, five District Council (Second) functional constituency seats each represent all 18 District Councils of Hong Kong voted for by all resident voters in Hong Kong (who did not have a vote in any other functional constituency), effectively increasing the number of seats elected with universal suffrage to 40. The pro-Beijing camp scored a major success, maintaining its dominance in the functional constituencies and winning 17 of the 35, nearly half, of the geographical constituency seats, which were considered to be the st ...
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D'Hondt Method
The D'Hondt method, also called the Jefferson method or the greatest divisors method, is a method for allocating seats in parliaments among federal states, or in party-list proportional representation systems. It belongs to the class of highest-averages methods. The method was first described in 1792 by future U.S. president Thomas Jefferson. It was re-invented independently in 1878 by Belgian mathematician Victor D'Hondt, which is the reason for its two different names. Motivation Proportional representation systems aim to allocate seats to parties approximately in proportion to the number of votes received. For example, if a party wins one-third of the votes then it should gain about one-third of the seats. In general, exact proportionality is not possible because these divisions produce fractional numbers of seats. As a result, several methods, of which the D'Hondt method is one, have been devised which ensure that the parties' seat allocations, which are of whole numbers ...
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Imperiali Quota
The Imperiali quota is a formula used to calculate the minimum number, or quota, of votes required to capture a seat in some forms of single transferable vote or largest remainder method party-list proportional representation voting systems. It is distinct from the Imperiali method, a type of highest average method. It is named after Belgian senator Pierre Imperiali. The Czech Republic and Ecuador are among the few countries that currently use this allocation system, while Italy used it for its Chamber of Deputies from 1946 to 1993. If many party lists poll just over the Imperiali quota, it is possible for this method to distribute more seats than there are vacancies to fill (this is not possible with the Hare or Droop quotas). If this occurs, the result needs to be recalculated with a higher quota (usually the Droop quota). If it does not happen, Imperiali usually distributes seats in a similar fashion to the D'Hondt method The D'Hondt method, also called the Jefferson ...
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Comparison Of The Hare And Droop Quotas
In elections that use the single transferable vote (STV) method, ''quotas'' are used (a) for the determination of candidates considered elected; and (b) for the calculation of surplus votes to be redistributed.Hill, I.D. (1987).Algorithm 123 — Single Transferable Vote by Meek’s method. Two quotas in common use are the Hare quota and the Droop quota. The largest remainder method of party-list proportional representation can also use Hare quotas or Droop quotas. General comparison The earliest versions of STV used the Hare quota. The Hare quota is equal to the total valid poll (V) divided by the total number of seats (n), or V / n. The Droop quota is generally smaller than the Hare quota, and was first suggested Henry Richmond Droop"On methods of electing representatives"in the '' Journal of the Statistical Society of London Vol. 44 No. 2'' (June 1881) pp.141-196 iscussion, 197-202 reprinted in '' Voting matters Issue 24'' (October 2007) pp.7–46. because it i ...
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Hagenbach-Bischoff Quota
The Hagenbach-Bischoff quota (also known as the Newland-Britton quota or the exact Droop quota, as opposed to the more common rounded Droop quota) is a formula used in some voting systems based on proportional representation (PR). It is used in some elections held under the largest remainder method of party-list proportional representation as well as in a variant of the D'Hondt method known as the Hagenbach-Bischoff system. The Hagenbach-Bischoff quota is named for its inventor, Swiss professor of physics and mathematics Eduard Hagenbach-Bischoff (1833–1910) The Hagenbach-Bischoff quota is sometimes referred to as the ' Droop quota' and vice versa (especially in connection with the largest remainder method) because the two are very similar. However, under the Hagenbach-Bischoff and any smaller (e.g. the Imperiali) quota it is theoretically possible for more candidates to reach the quota than there are seats, whereas under the slightly larger Droop quota, this is mathematic ...
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South Africa
South Africa, officially the Republic of South Africa (RSA), is the southernmost country in Africa. It is bounded to the south by of coastline that stretch along the South Atlantic and Indian Oceans; to the north by the neighbouring countries of Namibia, Botswana, and Zimbabwe; and to the east and northeast by Mozambique and Eswatini. It also completely enclaves the country Lesotho. It is the southernmost country on the mainland of the Old World, and the second-most populous country located entirely south of the equator, after Tanzania. South Africa is a biodiversity hotspot, with unique biomes, plant and animal life. With over 60 million people, the country is the world's 24th-most populous nation and covers an area of . South Africa has three capital cities, with the executive, judicial and legislative branches of government based in Pretoria, Bloemfontein, and Cape Town respectively. The largest city is Johannesburg. About 80% of the population are Black S ...
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United States Congressional Apportionment
United States congressional apportionment is the process by which seats in the United States House of Representatives are distributed among the 50 states according to the most recent decennial census mandated by the United States Constitution. Each state is apportioned a number of seats which approximately corresponds to its share of the aggregate population of the 50 states. Every state is constitutionally guaranteed at least one seat in the House and two seats in the Senate, regardless of population. The number of voting seats in the House of Representatives has been 435 since 1913, capped at that number by the Reapportionment Act of 1929—except for a temporary (1959–1962) increase to 437 when Alaska and Hawaii were admitted into the Union. Public Law 62-5 of 1911. The Huntington–Hill method of equal proportions has been used to distribute the seats among the states since the 1940 census reapportionment. Federal law requires the Clerk of the United States House o ...
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District Council (Second)
The District Council (Second) functional constituency () was a functional constituency in the elections for the Legislative Council of Hong Kong which was created in the 2012 constitutional reform package. It was the largest functional constituency consisted of registered voters who were not eligible for voting in the other functional constituencies. Background In 2009, the government put forward the reform package of the election method of the 5th Legislative Council of Hong Kong in the 2012 LegCo election. Due to the resolution of the National People's Congress in 2007 the ratio of geographical constituency and functional constituency remained the same, the government's package suggested to add extra five seats in geographical constituency and functional constituency respectively. The five new functional constituency seats would be same as the District Council functional constituency, in which only district councillors could stand, nominate, and be elected. The Democra ...
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