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Highest averages method
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=== Monotonicity === Divisor methods are generally preferred by mathematicians to [[largest remainder method]]s<ref name="Pukelsheim-2017-6" /> because they are less susceptible to [[apportionment paradox]]es.<ref name="Pukelsheim-2017-7" /> In particular, divisor methods satisfy [[population monotonicity]], i.e. voting ''for'' a party can never cause it to ''lose'' seats.<ref name="Pukelsheim-2017-7" /> Such [[population paradox]]es occur by increasing the [[electoral quota]], which can cause different states' remainders to respond erratically.<ref name="Balinski-1982" />{{Rp|Tbl.A7.2}} Divisor methods also satisfy [[resource monotonicity|resource]] or [[house monotonicity]], which says that increasing the number of seats in a legislature should not cause a state to lose a seat.<ref name="Pukelsheim-2017-7" /><ref name="Balinski-1982" />{{Rp|Cor.4.3.1}}
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