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May's theorem on majority rule

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  • Majority rule — Majority Rules redirects here. For Canadian comedy show, see Majority Rules!. Part of the Politics series Electoral methods …   Wikipedia

  • May's theorem — In social choice theory, May s theorem states that simple majority voting is the only anonymous, neutral, and monotone choice function between two alternatives. Further, this procedure is resolute when there are an odd number of voters and ties… …   Wikipedia

  • Arrow's impossibility theorem — In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no voting system can convert the ranked preferences of… …   Wikipedia

  • Simple majority voting — is a form of voting where, given two options, the option receiving more votes than the other wins. This contrasts with absolute majority voting, where the winner is the option which gets more than half of all possible votes, including abstentions …   Wikipedia

  • Condorcet's jury theorem — is a political science theorem about the relative probability of a given group of individuals arriving at a correct decision. The theorem was first expressed by the Marquis de Condorcet in his 1785 work Essay on the Application of Analysis to the …   Wikipedia

  • Classification rule — See also: Statistical classification and Classification in machine learning Given a population whose members can be potentially separated into a number of different sets or classes, a classification rule is a procedure in which the elements… …   Wikipedia

  • Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… …   Wikipedia

  • Nakamura number — In cooperative game theory and social choice theory, the Nakamura number measures the degree of rationality of preference aggregation rules (collective decision rules), such as voting rules. It is an indicator of the extent to which an… …   Wikipedia

  • Voting system — For other uses, see Voting system (disambiguation). Part of the Politics series Electoral methods …   Wikipedia

  • Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …   Wikipedia

  • Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium

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