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Beatpaths
Articles with example pseudocode Debian Electoral systems Monotonic Condorcet methods Single-winner electoral systems The Schulze method (), also known as the beatpath method, is a single winner ranked-choice voting rule developed by Markus Schulze. The Schulze method is a Condorcet completion method, which means it will elect a majority-preferred candidate if one exists. In other words, if most people rank ''A'' above ''B'', ''A'' will defeat ''B'' (whenever this is possible). Schulze's method breaks cyclic ties by using indirect victories. The idea is that if Alice beats Bob, and Bob beats Charlie, then Alice (indirectly) beats Charlie; this kind of indirect win is called a "beatpath". For proportional representation, a single transferable vote (STV) variant known as Schulze STV also exists. The Schulze method is used by several organizations including Debian, Ubuntu, Gentoo, Pirate Party political parties and many others. It was also used by Wikimedia prior to their a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Articles With Example Pseudocode
Article often refers to: * Article (grammar), a grammatical element used to indicate definiteness or indefiniteness * Article (publishing) An article or piece is a written work published in a Publishing, print or electronic media, electronic medium, for the propagation of news, research results, academic analysis or debate. News A news article discusses current or recent news of e ..., a piece of nonfictional prose that is an independent part of a publication Article(s) may also refer to: Government and law * Elements of treaties of the European Union * Articles of association, the regulations governing a company, used in India, the UK and other countries; called articles of incorporation in the US * Articles of clerkship, the contract accepted to become an articled clerk * Articles of Confederation, the predecessor to the current United States Constitution * Article of impeachment, a formal document and charge used for impeachment in the United States * Article of ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schulze Method Example1 AD
Schulze is a German surname, from the medieval office of Schulze, or village official. Notable people with the surname include: * Andrew Schulze (1896–1982), clergyman and civil rights activist * William August Schulze, rocket scientist recruited in 1945 by Operation Paperclip * Edmund Schulze (1824–1878), German organ builder, or four previous generations of his family in the same profession * Ernst Schulze (1789–1817), German poet * Ernst Schulze (chemist) Ernst Schulze (; 31 July 1840, Bovenden near Göttingen – 15 June 1912, Zürich) was a German chemist who discovered a number of amino acids. Biography Schulze's grandfather was the philosopher and privy counsellor Gottlob Ernst Schulze, and hi ... (1840-1912), German biochemist and grandson of Gottlob Ernst Schulze * * Horst Schulze, founder of The Ritz-Carlton Hotel Company * Frank Schulze (born 1970), German footballer * Franz Hermann Schulze-Delitzsch (1808–1883), German economist * Franz Eilhard Sch ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schulze Method Example1 AC
Schulze is a German surname, from the medieval office of Schulze, or village official. Notable people with the surname include: * Andrew Schulze (1896–1982), clergyman and civil rights activist * William August Schulze, rocket scientist recruited in 1945 by Operation Paperclip * Edmund Schulze (1824–1878), German organ builder, or four previous generations of his family in the same profession * Ernst Schulze (1789–1817), German poet * Ernst Schulze (chemist) (1840-1912), German biochemist and grandson of Gottlob Ernst Schulze * * Horst Schulze, founder of The Ritz-Carlton Hotel Company * Frank Schulze (born 1970), German footballer * Franz Hermann Schulze-Delitzsch (1808–1883), German economist * Franz Eilhard Schulze (1840–1921), German anatomist and zoologist * Friedrich August Schulze (1770–1849), German novelist * Gottlob Ernst Schulze (1761–1833), German professor and philosopher * Hans-Joachim Schulze (born 1934), German Bach scholar * Harro Schulze-Bo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schwartz Set
The Smith set, sometimes called the top-cycle or Condorcet winning set, generalizes the idea of a Condorcet winner to cases where no such winner exists. It does so by allowing cycles of candidates to be treated jointly, as if they were a single Condorcet winner. Voting systems that always elect a candidate from the Smith set pass the Smith criterion. The Smith set and Smith criterion are both named for mathematician John H. Smith. The Smith set provides one standard of optimal choice for an election outcome. An alternative, stricter criterion is given by the Landau set. Definition The Smith set is formally defined as the smallest set such that every candidate inside the set ''S'' pairwise defeats every candidate outside ''S''. Alternatively, it can be defined as the set of all candidates with a (non-strict) beatpath to any candidate who defeats them. A set of candidates each of whose members pairwise defeats every candidate outside the set is known as a ''dominating set'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Random Ballot
A random ballot or random dictatorship is a randomized electoral system where the election is decided on the basis of a single randomly-selected ballot. A closely-related variant is called random serial (or sequential) dictatorship, which repeats the procedure and draws another ballot if multiple candidates are tied on the first ballot. Random dictatorship was first described in 1977 by Allan Gibbard, who showed it to be the unique social choice rule that treats all voters equally while still being strategyproof in all situations. Its application to elections was first described in 1984 by Akhil Reed Amar. The rule is rarely, if ever, proposed as a genuine electoral system, as such a method (in Gibbard's words) "leaves too much to chance". However, the rule is often used as a tiebreaker to encourage voters to cast honest ballots, and is sometimes discussed as a thought experiment. Random dictatorship and random serial dictatorship The dictatorship rule is obviously unfair, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Majority Rule
In social choice theory, the majority rule (MR) is a social choice rule which says that, when comparing two options (such as bills or candidates), the option preferred by more than half of the voters (a ''majority'') should win. In political philosophy, the ''majority rule'' is one of two major competing notions of democracy. The most common alternative is given by the utilitarian rule (or other welfarist rules), which identify the spirit of liberal democracy with the equal consideration of interests.Ball, Terence and Antis Loizides"James Mill" The Stanford Encyclopedia of Philosophy (Winter 2020 Edition), Edward N. Zalta (ed.). Although the two rules can disagree in theory, political philosophers beginning with James Mill have argued the two can be reconciled in practice, with majority rule being a valid approximation to the utilitarian rule whenever voters share similarly-strong preferences. This position has found strong support in many social choice models, where the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transitive Relation
In mathematics, a binary relation on a set (mathematics), set is transitive if, for all elements , , in , whenever relates to and to , then also relates to . Every partial order and every equivalence relation is transitive. For example, less than and equality (mathematics), equality among real numbers are both transitive: If and then ; and if and then . Definition A homogeneous relation on the set is a ''transitive relation'' if, :for all , if and , then . Or in terms of first-order logic: :\forall a,b,c \in X: (aRb \wedge bRc) \Rightarrow aRc, where is the infix notation for . Examples As a non-mathematical example, the relation "is an ancestor of" is transitive. For example, if Amy is an ancestor of Becky, and Becky is an ancestor of Carrie, then Amy is also an ancestor of Carrie. On the other hand, "is the birth mother of" is not a transitive relation, because if Alice is the birth mother of Brenda, and Brenda is the birth mother of Claire, then it does ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ranked Ballot
A ranking is a relationship between a set of items, often recorded in a list, such that, for any two items, the first is either "ranked higher than", "ranked lower than", or "ranked equal to" the second. In mathematics, this is known as a weak order or total preorder of objects. It is not necessarily a total order of objects because two different objects can have the same ranking. The rankings themselves are totally ordered. For example, materials are totally preordered by hardness, while degrees of hardness are totally ordered. If two items are the same in rank it is considered a tie. By reducing detailed measures to a sequence of ordinal numbers, rankings make it possible to evaluate complex information according to certain criteria. Thus, for example, an Internet search engine may rank the pages it finds according to an estimation of their relevance, making it possible for the user quickly to select the pages they are likely to want to see. Analysis of data obtained by ranki ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
