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Voting System Criterion
Electoral systems are the rules for conducting elections, a main component of which is the algorithm for determining the winner (or several winners) from the ballots cast. This article discusses methods and results of comparing different electoral systems, both those which elect a unique candidate in a 'single-winner' election and those which elect a group of representatives in a multiwinner election. There are 4 main types of reasoning which have been used to try to determine the best voting method: # Argument by example # Adherence to logical criteria # Results of simulated elections # Results of real elections Expert opinions on single-winner voting methods In 2010, a panel of 22 experts on voting procedures were asked: "What is the best voting rule for your town to use to elect the mayor?". One member abstained. Approval voting was used to decide between 18 single-winner voting methods. The ranking (with number ''N'' of approvers from a maximum of 21) of the various syst ...
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Electoral System
An electoral system or voting system is a set of rules that determine how elections and referendums are conducted and how their results are determined. Electoral systems are used in politics to elect governments, while non-political elections may take place in business, non-profit organisations and informal organisations. These rules govern all aspects of the voting process: when elections occur, who is allowed to vote, who can stand as a candidate, how ballots are marked and cast, how the ballots are counted, how votes translate into the election outcome, limits on campaign spending, and other factors that can affect the result. Political electoral systems are defined by constitutions and electoral laws, are typically conducted by election commissions, and can use multiple types of elections for different offices. Some electoral systems elect a single winner to a unique position, such as prime minister, president or governor, while others elect multiple winners, such as me ...
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Nanson's Method
The Borda count electoral system can be combined with an instant-runoff procedure to create hybrid election methods that are called Nanson method and Baldwin method (also called Total Vote Runoff or TVR). Both methods are designed to satisfy the Condorcet criterion, and allow for incomplete ballots and equal rankings. Nanson method The Nanson method is based on the original work of the mathematician Edward J. Nanson in 1882. Nanson's method eliminates those choices from a Borda count tally that are at or below the average Borda count score, then the ballots are retallied as if the remaining candidates were exclusively on the ballot. This process is repeated if necessary until a single winner remains. If a Condorcet winner exists, they will be elected. If not, (there is a Condorcet cycle) then the preference with the smallest majority will be eliminated. Nanson's method can be adapted to handle incomplete ballots (including "plumping") and equal rankings ("bracketing"), thou ...
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Duncan Black
Duncan Black, FBA (23 May 1908 – 14 January 1991) was a Scottish economist who laid the foundations of social choice theory. In particular he was responsible for unearthing the work of many early political scientists, including Charles Lutwidge Dodgson, and was responsible for the Black electoral system, a Condorcet method whereby, in the absence of a Condorcet winner (e.g. due to a cycle), the Borda winner is chosen. Biography Black was born in Motherwell, Scotland, an industrial town south east of Glasgow, to a working-class family. He graduated from the Dalziel High School in Motherwell and then studied mathematics and physics at the University of Glasgow. He then enrolled for a degree in economics and politics which he finished with first class honours in 1932. He started teaching at the newly formed Dundee School of Economics (later part of the University of Dundee). There Black was influenced by his colleague Ronald Coase, originator of the Theory of the Firm. ...
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Girondins
The Girondins ( , ), or Girondists, were members of a loosely knit political faction during the French Revolution. From 1791 to 1793, the Girondins were active in the Legislative Assembly and the National Convention. Together with the Montagnards, they initially were part of the Jacobin movement. They campaigned for the end of the monarchy, but then resisted the spiraling momentum of the Revolution, which caused a conflict with the more radical Montagnards. They dominated the movement until their fall in the insurrection of 31 May – 2 June 1793, which resulted in the domination of the Montagnards and the purge and eventual mass execution of the Girondins. This event is considered to mark the beginning of the Reign of Terror. The Girondins were a group of loosely affiliated individuals rather than an organized political party and the name was at first informally applied because the most prominent exponents of their point of view were deputies to the Legislative Assembly from ...
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The Mountain
The Mountain (french: La Montagne) was a political group during the French Revolution. Its members, called the Montagnards (), sat on the highest benches in the National Convention. They were the most radical group and opposed the Girondins. The term, first used during a session of the Legislative Assembly, came into general use in 1793. By the summer of 1793, that pair of opposed minority groups divided the National Convention. That year, the Montagnards were influential in what is commonly known as the Reign of Terror. The Mountain was composed mainly of members of the middle class, but represented the constituencies of Paris. As such, the Mountain was sensitive to the motivations of the city and responded strongly to demands from the working class sans-culottes. The Mountain operated on the belief that what was best for Paris would be best for all of France. Although they attempted some rural land reform, most of it was never enacted and they generally focused on the needs o ...
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Laplace
Pierre-Simon, marquis de Laplace (; ; 23 March 1749 – 5 March 1827) was a French scholar and polymath whose work was important to the development of engineering, mathematics, statistics, physics, astronomy, and philosophy. He summarized and extended the work of his predecessors in his five-volume ''Mécanique céleste'' (''Celestial Mechanics'') (1799–1825). This work translated the geometric study of classical mechanics to one based on calculus, opening up a broader range of problems. In statistics, the Bayesian interpretation of probability was developed mainly by Laplace. Laplace formulated Laplace's equation, and pioneered the Laplace transform which appears in many branches of mathematical physics, a field that he took a leading role in forming. The Laplacian differential operator, widely used in mathematics, is also named after him. He restated and developed the nebular hypothesis of the origin of the Solar System and was one of the first scientists to suggest ...
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Semantics
Semantics (from grc, σημαντικός ''sēmantikós'', "significant") is the study of reference, meaning, or truth. The term can be used to refer to subfields of several distinct disciplines, including philosophy, linguistics and computer science. History In English, the study of meaning in language has been known by many names that involve the Ancient Greek word (''sema'', "sign, mark, token"). In 1690, a Greek rendering of the term ''semiotics'', the interpretation of signs and symbols, finds an early allusion in John Locke's '' An Essay Concerning Human Understanding'': The third Branch may be called [''simeiotikí'', "semiotics"], or the Doctrine of Signs, the most usual whereof being words, it is aptly enough termed also , Logick. In 1831, the term is suggested for the third branch of division of knowledge akin to Locke; the "signs of our knowledge". In 1857, the term ''semasiology'' (borrowed from German ''Semasiologie'') is attested in Josiah W. Gibbs' ...
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Valence Politics
Valence politics, also known as competence voting, is a model of voting behaviour that emphasises that individuals vote based upon "people's judgements of the overall competence of the rival political parties A political party is an organization that coordinates candidates to compete in a particular country's elections. It is common for the members of a party to hold similar ideas about politics, and parties may promote specific ideological or po ...". Cited in References Political science terminology Voting theory {{Election-stub ...
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Marquis De Condorcet
Marie Jean Antoine Nicolas de Caritat, Marquis of Condorcet (; 17 September 1743 – 29 March 1794), known as Nicolas de Condorcet, was a French philosopher and mathematician. His ideas, including support for a liberal economy, free and equal public instruction, constitutional government, and equal rights for women and people of all races, have been said to embody the ideals of the Age of Enlightenment, of which he has been called the "last witness," and Enlightenment rationalism. He died in prison after a period of hiding from the French Revolutionary authorities. Early years Condorcet was born in Ribemont (in present-day Aisne), descended from the ancient family of Caritat, who took their title from the town of Condorcet in Dauphiné, of which they were long-time residents. Fatherless at a young age, he was taken care of by his devoutly religious mother who dressed him as a girl till age eight. He was educated at the Jesuit College in Reims and at the '' Collège de Navarre ...
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Wasted Vote
In electoral systems, a wasted vote is any vote which is not for an elected candidate or, more broadly, a vote that does not help to elect a candidate. The narrower meaning includes ''lost votes'', being only those votes which are for a losing candidate or party. The broader definition of wasted votes includes ''excess votes'', namely votes for winning candidates in excess of the minimum needed to win. Wasted votes and efficiency gap are defined pp. 850–852. In plurality systems, wasted votes are the basis of the '' efficiency gap'' measure, where the shape of electoral districts (or the existence of them) can be quantified to show just how imperfect such a system is at allocating voter preferences. The efficiency gap has been called the most scrutinized method of measuring gerrymandering. Ranked voting almost always reduces wasted votes in plurality systems by offering multiple chances for a vote to count towards a winner, where exhausted ballots include only the ballots where al ...
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Plurality Voting
Plurality voting refers to electoral systems in which a candidate, or candidates, who poll more than any other counterpart (that is, receive a plurality), are elected. In systems based on single-member districts, it elects just one member per district and may also be referred to as first-past-the-post (FPTP), single-member plurality (SMP/SMDP), single-choice voting (an imprecise term as non-plurality voting systems may also use a single choice), simple plurality or relative majority (as opposed to an ''absolute majorit''y, where more than half of votes is needed, this is called ''majority voting''). A system which elects multiple winners elected at once with the plurality rule, such as one based on multi-seat districts, is referred to as plurality block voting. Plurality voting is distinguished from ''majority voting'', in which a winning candidate must receive an absolute majority of votes: more than half of all votes (more than all other candidates combined if each voter h ...
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