Albion College Mathematics and Computer Science Colloquium



Title: Minimal Requirements for Representation in the Democratic Primary
Speaker:Michael A. Jones
Associate Editor
Mathematical Reviews
American Mathematical Society
Ann Arbor, Michigan
Abstract: In the Democratic Party Primary, presidential candidates are assigned delegates based on their share of the vote in each primary state using Hamilton's method of apportionment. However party rules state that candidates receiving less than 15% of the vote are not awarded any delegates. In this talk, we look at the consequences of such a cut-off for Hamilton's method and several other apportionment methods. For each method, we find the threshold of inclusion (the level of support necessary to possibly receive a delegate) and the threshold of exclusion (the level of support necessary to assuredly receive a delegate). We compare these values and determine the relationship between the thresholds and the Democratic Party cutoff of 15%. We also examine a new apportionment paradox that can arise when cut-offs are applied to Hamilton's method.
Location: Palenske 227
Date:11/19/2009
Time: 3:10 pm



@abstract{MCS:Colloquium:MichaelAJones:2009:11:19,
author  = "{Michael A. Jones}",
title   = "{Minimal Requirements for Representation in the Democratic Primary}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month   = "{19 December}",
year    = "{2009}"
}