The Hamilton method of apportionment satisfies the quota rule.

the verdict

SUPPORTED

the evidence backs this

Recorded sources

3 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the Hamilton method of apportionment satisfies the quota rule?

Yes. Mathematical literature and educational sources confirm that the Hamilton method of apportionment always assigns each entity a number of seats equal to either its lower quota or upper quota, thereby satisfying the quota rule.

Verdict: SUPPORTED · 3 sources for, 0 against · Last checked 3 Oct 2026

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Evidence for · 3

PLOS (all journals): Apportionment and districting by Sum of Ranking Differences

States that the Hamilton method satisfies both upper- and lower-quota, which is the Hare-quota property.

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PLOS (all journals): Apportionment and districting by Sum of Ranking Differences. (n.d.). PLOS (all journals). https://doi.org/10.1371/journal.pone.0229209

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More for · 2

LibreTexts: LibreTexts: 7.05: Apportionment Methods

Explicitly concludes that the Hamilton method of apportionment satisfies the quota rule.

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LibreTexts: LibreTexts: 7.05%3A Apportionment Methods. (n.d.). LibreTexts. https://math.libretexts.org/Courses/SUNY_Geneseo/Math_104_Green/07%3A_Voting_and_Apportionment/7.05%3A_Apportionment_Methods

LibreTexts: LibreTexts: 11.04: Apportionment Methods

Confirms that the Hamilton method of apportionment satisfies the quota rule.

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LibreTexts: LibreTexts: 11.04%3A Apportionment Methods. (n.d.). LibreTexts. https://math.libretexts.org/Bookshelves/Applied_Mathematics/Contemporary_Mathematics_(OpenStax)/11%3A_Voting_and_Apportionment/11.04%3A_Apportionment_Methods

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