Duggan–Schwartz theorem

The Duggan–Schwartz theorem (named after John Duggan and Thomas Schwartz) is a result about voting systems designed to choose a nonempty set of winners from the preferences of certain individuals, where each individual ranks all candidates in order of preference. It states that for three or more candidates, at least one of the following must hold: The system is not anonymous (some voters are treated differently from others).

Source: Wikipedia — Duggan–Schwartz theorem (CC BY-SA 4.0)

Duggan–Schwartz theorem

The Duggan–Schwartz theorem (named after John Duggan and Thomas Schwartz) is a result about voting systems designed to choose a nonempty set of winners from the preferences of certain individuals, where each individual ranks all candidates in order of preference. It states that for three or more candidates, at least one of the following must hold: The system is not anonymous (some voters are treated differently from others).

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Source: Wikipedia "Duggan–Schwartz theorem" · CC BY-SA 4.0

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