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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.
In Boolean logic, the majority function (also called the median operator) is the Boolean function that evaluates to false when half or more arguments are false and true otherwise, i.e. the value of the function equals the value of the majority of the inputs.
Thus, it is a stronger requirement than plurality (yet weaker than absolute majority). [4] [5] An absolute majority (also a majority) is a number of votes "greater than the number of votes that possibly can be obtained at the same time for any other solution", [a] when voting for multiple alternatives at a time [6] [b]
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 ...
^May, Kenneth O. 1952. "A set of independent necessary and sufficient conditions for simple majority decisions", Econometrica, Vol. 20, Issue 4, pp. 680–684. JSTOR 1907651; ^ Mark Fey, "May’s Theorem with an Infinite Population", Social Choice and Welfare, 2004, Vol. 23, issue 2, pages 275–293.; ^ Goodin, Robert and Christian List (2006). "A conditional defense of plurality rule ...
A majority vote, or more than half the votes cast, is a common voting basis.Instead of the basis of a majority, a supermajority can be specified using any fraction or percentage which is greater than one-half.
Senate Majority Leader John Thune (R-SD), who was stuck in DC navigating cabinet confirmations during the House GOP retreat, has made clear he believes “we are dramatically underfunding our ...
In mathematics and political science, the quota rule describes a desired property of proportional apportionment methods. It says that the number of seats allocated to a party should be equal to their entitlement plus or minus one.