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A majority is more than half of a total. [1] It is a subset of a set consisting of more than half of the set's elements. For example, if a group consists of 31 individuals, a majority would be 16 or more individuals, while having 15 or fewer individuals would not constitute a majority.
Example Condorcet method voting ballot. Blank votes are equivalent to ranking that candidate last. A Condorcet method (English: / k ɒ n d ɔːr ˈ s eɪ /; French: [kɔ̃dɔʁsɛ]) is an election method that elects the candidate who wins a majority of the vote in every head-to-head election against each of the other candidates, whenever there is such a candidate.
The few systems that calculate the majority function on an even number of inputs are often biased towards "0" – they produce "0" when exactly half the inputs are 0 – for example, a 4-input majority gate has a 0 output only when two or more 0's appear at its inputs. [1] In a few systems, the tie can be broken randomly. [2]
This proof is direct; it just sums up the probabilities of the majorities. Each term of the sum multiplies the number of combinations of a majority by the probability of that majority. Each majority is counted using a combination, n items taken k at a time, where n is the jury size, and k is the size of the majority. Probabilities range from 0 ...
The Condorcet criterion implies the majority criterion since a candidate ranked first by a majority is clearly ranked above every other candidate by a majority. When a Condorcet winner exists, this candidate is also part of the smallest mutual majority set, so any Condorcet method passes the mutual majority criterion and Condorcet loser in ...
Many countries use an indirect majority system, in which the voters are divided into groups. The voters in each group decide on an outcome by an internal majority vote; then, the groups decide on the final outcome by a majority vote among them. For example, [5] suppose there are 15 voters. In a direct majority system, a decision is accepted ...
Student scores will be ranked in one of four categories on California's annual tests in math, reading and science. ... the board majority rejected labels recommended by staff from the California ...
For example, if from 100 votes that were cast, 45 were for candidate A, 30 were for candidate B and 25 were for candidate C, then candidate A received a plurality of votes but not a majority. In some election contests, the winning candidate or proposition may need only a plurality, depending on the rules of the organization holding the vote.