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Semicircular election apportionment diagram. An election apportionment diagram is the graphic representation of election results and the seats in a plenary or legislative body. The chart can also be used to represent data in easy to understand terms, for example by grouping allied parties together.
A 4-candidate Yee diagram under IRV. The diagram shows who would win an IRV election if the electorate is centered at a particular point. Moving the electorate to the left can cause a right-wing candidate to win, and vice versa. Black lines show the optimal solution (achieved by Condorcet or score voting).
This can be seen from the diagram, which illustrates two simulated elections with the same candidates but different voter distributions. In both cases the mid-point between the candidates is the 51st percentile of the voter distribution; hence 51% of voters prefer A and 49% prefer B.
Thus, the majority gate output is guaranteed to be correct as long as no more than one of the three identical logic circuits has failed. [ 7 ] For a TMR system with a single voter of reliability (probability of working) R v and three components of reliability R m , the probability of it being correct can be shown to be R TMR = R v (3 R m 2 ...
Approaches exist for an explicit formula for majority of polynomial size: Take the median from a sorting network, where each compare-and-swap "wire" is simply an OR gate and an AND gate. The Ajtai–Komlós–Szemerédi (AKS) construction is an example. Combine the outputs of smaller majority circuits. [4]
The mutual majority criterion is a generalized form of the criterion meant to account for when the majority prefers multiple candidates above all others; voting methods which pass majority but fail mutual majority can encourage all but one of the majority's preferred candidates to drop out in order to ensure one of the majority-preferred ...
The Boyer–Moore majority vote algorithm is an algorithm for finding the majority of a sequence of elements using linear time and a constant number of words of memory. It is named after Robert S. Boyer and J Strother Moore , who published it in 1981, [ 1 ] and is a prototypical example of a streaming algorithm .
List / candidate (personal election, also called nominal election) based system; Type of ballot. single choice (voter can cast only one vote, whether for a candidate or for a party) multiple choice (voter can cast multiple votes) cumulative (voter can cast more than one vote for a candidate) ranked (preferential voting; ordinal voting) (allows ...