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Games - Voting system criterion |
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| A voting system criterion is a formally defined pass/fail criterion by which a voting system may be assessed. They are usually defined such that they only depend on the inputted votes and the resulting output of the voting system, but they may also refer to the necessary time and space complexities associated with determining the result. A simple example is the majority criterion, which says that if a candidate is the first choice of a majority of voters, it should win. Plurality satisfies this criterion, while Borda fails it. Passing one criteria can automatically imply passing other criteria, but can also imply failing others. For example, the Condorcet criterion implies the majority criterion, but also simultaneously implies the failure of the consistency criterion (i.e. is incompatible with it). In fact, noted mathematical results like Arrow's theorem and the Gibbard-Satterthwaite theorem are in essence statements of the impossibility of satisfying certain combinations of criteria. In light of this, assessing the worthiness of any voting system depends on which criteria an observer considers important enough to be satisfied by the system. List of voting system criteriaCriteria besides those listed at :Category:Voting system criteria include:
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