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An issue of
guaranteed representation in a variant of Hamilton's
method
Graham Chambers-Wall and David McCune |
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Vol. 17 (2024), No. 3, 373–396
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Abstract |
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The Arkansas Republican party invented an apportionment method for their 2016 presidential primary that is a variant of the classical apportionment method Hamilton’s method. We provide a formula for the probability that these two methods produce the same apportionment in three-candidate elections, assuming all election outcomes are equally likely. We also prove that the method invented by Arkansas Republicans is more favorable to lower-ranked candidates than Hamilton’s method. |
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Keywords
apportionment, Hamilton's method, presidential primaries
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Mathematical Subject Classification
Primary: 91B10
Secondary: 91B14
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Milestones
Received: 18 June 2021
Revised: 2 April 2022
Accepted: 27 February 2023
Published: 17 July 2024
Communicated by Kenneth S. Berenhaut
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Authors |
| Graham Chambers-Wall | |
| William Jewell College Liberty, MO United States |
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| David McCune | |
| Department of Mathematics and Data
Science William Jewell College Liberty, MO United States |
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| © 2024 MSP (Mathematical Sciences Publishers). |
