The Cutoff Paradox in the Kansas Presidential Caucuses
Author: David McCune, Lori McCune & Dalton Nelson
The Kansas Republican Party uses an apportionment method of its own
invention to apportion delegates to candidates in its presidential caucus.
This method includes a threshold that eliminates candidates (and their votes)
who receive less than 10% of the vote. Eliminating candidates can lead to a
Cutoff Paradox, a paradox in which a surviving candidate receives fewer delegates
as a result of the elimination of the candidates that fall beneath the
threshold. We calculate the proportion of elections that are susceptible to
this paradox for three candidate elections using the method of the Kansas
Republican Party. For comparative purposes, we calculate the same proportions
for Hamilton's method, the method used by the Democratic Party in all
of its presidential primaries and caucuses.
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