The elimination paradox: apportionment in the Democratic Party |
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Authors: | Jones Michael A. McCune David Wilson Jennifer |
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Affiliation: | 1.Mathematical Reviews, 416 Fourth Street, Ann Arbor, MI, 48103, USA ;2.William Jewell College, Liberty, MO, 64068, USA ;3.Eugene Lang College, The New School, New York City, 100011, USA ; |
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Abstract: | To award delegates in their presidential primary elections, the US Democratic Party uses Hamilton’s method of apportionment after eliminating any candidates (and their votes) that receive less than 15% of the total votes cast. We illustrate how a remaining candidate may have his or her delegate total decline as a result of other candidates being eliminated; this leads to a new elimination paradox. We relate that paradox to the new states, no show, and population paradoxes and show that divisor methods are not susceptible to the elimination paradox. We conclude with instances in which the elimination paradox may occur in other contexts, including parliamentary systems. |
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